| Topic: |
Science > Physics |
| User: |
"Mitchell Jones" |
| Date: |
01 Jan 2007 03:26:25 AM |
| Object: |
The Non-Relativity of Simultaneity |
Consider an example of a sort oft repeated by relativists, wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity wavelike
emanations (light, sound, seismic waves, or whatever) that pass through
space from their sources to each of the two observers. One event, call
it A, is directly behind the train, and the other, call it B, is
directly ahead. The question asked by relativists is whether it is
possible to objectively determine if A and B are simultaneous. That is,
is there a method for determining simultaneity which ensures that all
observers who reason correctly will come to the same conclusion? The
relativists say the answer is no, that simultaneity is relative; and I
say the answer is yes, when the determination is made using the method
explained below.
Let the speed of travel of the emissions by which events A and B are
detected be represented by V. Let the distances from the locations of
the events to an observer's location(s) at the times of detection be
represented by Da and Db, respectively, and let the times of occurrence
be represented by Ta and Tb, respectively. Result: if an observer
detects an emanation from A at a time T1, he knows that A occurred at Ta
= T1 - Da/V, and if he detects an emanation from B at a time T2, he
knows that B occurred at Tb = T2 - Db/V. Hence the events are
simultaneous if Ta = Tb, and otherwise they are not simultaneous.
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
(3) Each observer measures the distances, Da and Db, between the
emissions locations and the reception locations. In the case of the
observer standing on the ground, there will be only one reception
location, whereas the moving observer on the train will be at one
location when he receives the emanations from A, and at another when he
receives the those from B. (Note: The moving observer could just as well
be two fixed observers, one observing A from location L1, the other
observing B from location L2, and, later, getting together to compare
notes. The two cases are equivalent because it is not the observer's
state of motion, but his location when he makes the observations, that
is of importance.)
(4) Each observer calculates the values of Ta = T1 - Da/V and Tb = T2 -
Db/V, and sees if they are the same. If they are the same for one
observer, they will be the same for all observers.
The key point here is that the measurement of simultaneity requires that
the observer determine not merely the time at which each emanation is
received, but also the distance between the location of the source when
the emissions were sent out, and his own location at the time when the
emissions were received. If that is done, simple mathematics will
suffice to decide whether the two events are simultaneous or not, and,
most importantly, such decisions about simultaneity will be the same for
all observers.
For a typical relativist's discussion of this topic, see
http://www.bartleby.com/173/8.html.
--Mitchell Jones
*****************************************************************
If I seem to be ignoring you, consider the possibility
that you are in my killfile. ‹MJ
.
|
|
| User: "Sorcerer" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 04:23:21 AM |
|
|
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message =
news:mjones-88E441.03262501012007@news.thundernews.com...
| Consider an example of a sort oft repeated by relativists, wherein a=20
| train is moving along an embankment. An observer is standing on the=20
| train, moving past a second observer standing on the ground, and two=20
| events occur. Each event acts as a source of constant-velocity =
wavelike=20
| emanations (light, sound, seismic waves, or whatever) that pass =
through=20
| space from their sources to each of the two observers. One event, call =
| it A, is directly behind the train, and the other, call it B, is=20
| directly ahead. The question asked by relativists is whether it is=20
| possible to objectively determine if A and B are simultaneous. That =
is,=20
| is there a method for determining simultaneity which ensures that all=20
| observers who reason correctly will come to the same conclusion? The=20
| relativists say the answer is no, that simultaneity is relative; and I =
| say the answer is yes, when the determination is made using the method =
| explained below.
|=20
| Let the speed of travel of the emissions by which events A and B are=20
| detected be represented by V. Let the distances from the locations of=20
| the events to an observer's location(s) at the times of detection be=20
| represented by Da and Db, respectively, and let the times of =
occurrence=20
| be represented by Ta and Tb, respectively. Result: if an observer=20
| detects an emanation from A at a time T1, he knows that A occurred at =
Ta=20
| =3D T1 - Da/V, and if he detects an emanation from B at a time T2, he=20
| knows that B occurred at Tb =3D T2 - Db/V. Hence the events are=20
| simultaneous if Ta =3D Tb, and otherwise they are not simultaneous.=20
|=20
| The method of determination of simultaneity, then, is as follows:=20
|=20
| (1) Each observer jots down the times T1 and T2 when he receives the=20
| emanations.
|=20
| (2) Each observer determines the speed, V, of the emanations, by=20
| consulting the appropriate reference materials, doing any needed=20
| calculations, etc.
|=20
| (3) Each observer measures the distances, Da and Db, between the=20
| emissions locations and the reception locations. In the case of the=20
| observer standing on the ground, there will be only one reception=20
| location, whereas the moving observer on the train will be at one=20
| location when he receives the emanations from A, and at another when =
he=20
| receives the those from B. (Note: The moving observer could just as =
well=20
| be two fixed observers, one observing A from location L1, the other=20
| observing B from location L2, and, later, getting together to compare=20
| notes. The two cases are equivalent because it is not the observer's=20
| state of motion, but his location when he makes the observations, that =
| is of importance.)=20
|=20
| (4) Each observer calculates the values of Ta =3D T1 - Da/V and Tb =3D =
T2 -=20
| Db/V, and sees if they are the same. If they are the same for one=20
| observer, they will be the same for all observers.=20
|=20
| The key point here is that the measurement of simultaneity requires =
that=20
| the observer determine not merely the time at which each emanation is=20
| received, but also the distance between the location of the source =
when=20
| the emissions were sent out, and his own location at the time when the =
| emissions were received. If that is done, simple mathematics will=20
| suffice to decide whether the two events are simultaneous or not, and, =
| most importantly, such decisions about simultaneity will be the same =
for=20
| all observers.
|=20
| For a typical relativist's discussion of this topic, see=20
| http://www.bartleby.com/173/8.html.
|=20
| --Mitchell Jones
|=20
| *****************************************************************
| If I seem to be ignoring you, consider the possibility
| that you are in my killfile. =8BMJ
If I seem to be ignoring you, consider the possibility that
Einstein said the events which were simultaneous are
not simultaneous and I too have a killfile. The subjective
impressions of the "observers" are not objective impressions.
As an observer I recognise the velocity of light is finite
and am not impressed by the subjective (and stupid) relativists.=20
.
|
|
|
|
| User: "Martin Hogbin" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 05:07:55 AM |
|
|
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message news:mjones-88E441.03262501012007@news.thundernews.com...
Consider an example of a sort oft repeated by relativists,
Who or what are 'relativists'?
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
...wavelike
emanations (light, sound, seismic waves, or whatever)
Do you consider all of these to be 'constant-velocity'?
that pass through space
Seismic waves pass through space?
from their sources to each of the two observers. One event, call
it A, is directly behind the train, and the other, call it B, is
directly ahead. The question asked by relativists is whether it is
possible to objectively determine if A and B are simultaneous. That is,
is there a method for determining simultaneity which ensures that all
observers who reason correctly will come to the same conclusion?
That is not the question asked by physicists.
The
relativists say the answer is no, that simultaneity is relative; and I
say the answer is yes, when the determination is made using the method
explained below.
Let the speed of travel of the emissions by which events A and B are
detected be represented by V. Let the distances from the locations of
the events to an observer's location(s) at the times of detection be
represented by Da and Db, respectively, and let the times of occurrence
be represented by Ta and Tb, respectively. Result: if an observer
detects an emanation from A at a time T1, he knows that A occurred at Ta
= T1 - Da/V, and if he detects an emanation from B at a time T2, he
knows that B occurred at Tb = T2 - Db/V. Hence the events are
simultaneous if Ta = Tb, and otherwise they are not simultaneous.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'. T
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
You really need to try to understand whart relativity is all about
before you try to criticise it.
(3) Each observer measures the distances, Da and Db, between the
emissions locations and the reception locations. In the case of the
observer standing on the ground, there will be only one reception
location, whereas the moving observer on the train will be at one
location when he receives the emanations from A, and at another when he
receives the those from B. (Note: The moving observer could just as well
be two fixed observers, one observing A from location L1, the other
observing B from location L2, and, later, getting together to compare
notes. The two cases are equivalent because it is not the observer's
state of motion, but his location when he makes the observations, that
is of importance.)
(4) Each observer calculates the values of Ta = T1 - Da/V and Tb = T2 -
Db/V, and sees if they are the same. If they are the same for one
observer, they will be the same for all observers.
The key point here is that the measurement of simultaneity requires that
the observer determine not merely the time at which each emanation is
received, but also the distance between the location of the source when
the emissions were sent out, and his own location at the time when the
emissions were received. If that is done, simple mathematics will
suffice to decide whether the two events are simultaneous or not, and,
most importantly, such decisions about simultaneity will be the same for
all observers.
It is simple pick an arbtrary basis for simultaneity that all observers
could agree on, but what does this achieve?
Martin Hogbin
.
|
|
|
| User: "Sorcerer" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 06:40:52 AM |
|
|
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote in message =
news:AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com...
|=20
| "Mitchell Jones" <mjones@21cenlogic.com> wrote in message =
news:mjones-88E441.03262501012007@news.thundernews.com...
| > Consider an example of a sort oft repeated by relativists,
|=20
| Who or what are 'relativists'?
A fuckhead like you.=20
=20
| > wherein a
| > train is moving along an embankment. An observer is standing on the
| > train, moving past a second observer standing on the ground, and two
| > events occur. Each event acts as a source of constant-velocity...
|=20
| What do mean by 'constant-velocity' here?
One that doesn't change direction, fuckhead.
http://www.androcles01.pwp.blueyonder.co.uk/DominoEffect.GIF
|=20
| > ...wavelike
| > emanations (light, sound, seismic waves, or whatever)
|=20
| Do you consider all of these to be 'constant-velocity'?
Yes, fuckhead.
|=20
| > that pass through space
|=20
| Seismic waves pass through space?
Nit picking moron.
|=20
| > from their sources to each of the two observers. One event, call
| > it A, is directly behind the train, and the other, call it B, is
| > directly ahead. The question asked by relativists is whether it is
| > possible to objectively determine if A and B are simultaneous. That =
is,
| > is there a method for determining simultaneity which ensures that =
all
| > observers who reason correctly will come to the same conclusion?
|=20
| That is not the question asked by physicists.
You are not a physicist, you are a fuckin' troll and a *****.=20
|=20
| > The
| > relativists say the answer is no, that simultaneity is relative; and =
I
| > say the answer is yes, when the determination is made using the =
method
| > explained below.
| >
| > Let the speed of travel of the emissions by which events A and B are
| > detected be represented by V. Let the distances from the locations =
of
| > the events to an observer's location(s) at the times of detection be
| > represented by Da and Db, respectively, and let the times of =
occurrence
| > be represented by Ta and Tb, respectively. Result: if an observer
| > detects an emanation from A at a time T1, he knows that A occurred =
at Ta
| > =3D T1 - Da/V, and if he detects an emanation from B at a time T2, =
he
| > knows that B occurred at Tb =3D T2 - Db/V. Hence the events are
| > simultaneous if Ta =3D Tb, and otherwise they are not simultaneous.
|=20
| None of the above makes any sense
Ok, so you are fucking senseless, you arsehole.
|=20
|=20
| > The method of determination of simultaneity, then, is as follows:
| >
| > (1) Each observer jots down the times T1 and T2 when he receives the
| > emanations.
| >
| > (2) Each observer determines the speed, V, of the emanations, by
| > consulting the appropriate reference materials, doing any needed
| > calculations, etc.
|=20
| On what basis does the observer do 'calculations etc.' ?
They take out a calculator, you dumb ***** and fuckin' troll.=20
|=20
| You really need to try to understand whart relativity is all about
| before you try to criticise it.
You really need to try to understand what relativity is all about
before you try to support it, you fuckin' moron.
|=20
| > (3) Each observer measures the distances, Da and Db, between the
| > emissions locations and the reception locations. In the case of the
| > observer standing on the ground, there will be only one reception
| > location, whereas the moving observer on the train will be at one
| > location when he receives the emanations from A, and at another when =
he
| > receives the those from B. (Note: The moving observer could just as =
well
| > be two fixed observers, one observing A from location L1, the other
| > observing B from location L2, and, later, getting together to =
compare
| > notes. The two cases are equivalent because it is not the observer's
| > state of motion, but his location when he makes the observations, =
that
| > is of importance.)
| >
| > (4) Each observer calculates the values of Ta =3D T1 - Da/V and Tb =
=3D T2 -
| > Db/V, and sees if they are the same. If they are the same for one
| > observer, they will be the same for all observers.
| >
| > The key point here is that the measurement of simultaneity requires =
that
| > the observer determine not merely the time at which each emanation =
is
| > received, but also the distance between the location of the source =
when
| > the emissions were sent out, and his own location at the time when =
the
| > emissions were received. If that is done, simple mathematics will
| > suffice to decide whether the two events are simultaneous or not, =
and,
| > most importantly, such decisions about simultaneity will be the same =
for
| > all observers.
|=20
| It is simple pick an arbtrary basis for simultaneity that all =
observers
| could agree on, but what does this achieve?
Nothing to you, you are fuckin' senseless.=20
.
|
|
|
|
| User: "Mitchell Jones" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 06:49:54 AM |
|
|
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-88E441.03262501012007@news.thundernews.com...
Consider an example of a sort oft repeated by relativists,
Who or what are 'relativists'?
***{Proponents of Einstein's "theory of relativity," of course. --MJ}***
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
...wavelike
emanations (light, sound, seismic waves, or whatever)
Do you consider all of these to be 'constant-velocity'?
***{They can be. All I'm trying to do is limit my example to situations
in which they are, for the sake of simplicity. --MJ}***
that pass through space
Seismic waves pass through space?
***{Space is the expanse in which all entities are located. Seismic
waves pass through solid bodies such as the Earth, which are located in
space. Hence the seismic waves pass through space. All motion is motion
through space, in the sense in which I am using the term. Moreover, it
is not an uncommon usage: people speak of the "space" in their
refrigerators, for example, even though their refrigerators contain air.
In such cases, the air is viewed as filling the space, which in turn is
viewed as an expanse in which entities, such as air molecules, are
located. Space doesn't have to be empty, to be space. Hence "vacuum" and
"space" are not equivalent terms, though some usages equate them.
--MJ}***
from their sources to each of the two observers. One event, call
it A, is directly behind the train, and the other, call it B, is
directly ahead. The question asked by relativists is whether it is
possible to objectively determine if A and B are simultaneous. That is,
is there a method for determining simultaneity which ensures that all
observers who reason correctly will come to the same conclusion?
That is not the question asked by physicists.
***{There are hundreds if not thousands of examples proving your
assertion to be false. In particular, it is the question asked by
physicists who comprehend what must be demonstrated, in order to
establish the relativism of simultaneity. For if an objective method for
determining simultaneity exists, then it makes no sense to claim, as
relativists do, that the answer depends on the frame of reference one
chooses.
Here is a quote from a fairly typical statement of this issue:
"Supposing that as a result of ingenious considerations an able
meteorologist were to discover that the lightning must always strike the
places A and B simultaneously, then we should be faced with the task of
testing whether or not this theoretical result is in accordance with the
reality. We encounter the same difficulty with all physical statements
in which the conception ³simultaneous² plays a part. The concept does
not exist for the physicist until he has the possibility of discovering
whether or not it is fulfilled in an actual case. We thus require a
definition of simultaneity such that this definition supplies us with
the method by means of which, in the present case, he can decide by
experiment whether or not both the lightning strokes occurred
simultaneously. As long as this requirement is not satisfied, I allow
myself to be deceived as a physicist (and of course the same applies if
I am not a physicist), when I imagine that I am able to attach a meaning
to the statement of simultaneity." [Source:
http://www.bartleby.com/173/8.html]
Subsequent to the above paragraph, the author argues that there is no
method by means of which it can be decided by experiment whether two
events occurred simultaneously, and so he concludes that:
"Events which are simultaneous with reference to the embankment are not
simultaneous with respect to the train, and vice versa (relativity of
simultaneity). Every reference-body (co-ordinate system) has its own
particular time; unless we are told the reference-body to which the
statement of time refers, there is no meaning in a statement of the time
of an event."
"Now before the advent of the theory of relativity it had always tacitly
been assumed in physics that the statement of time had an absolute
significance, i.e. that it is independent of the state of motion of the
body of reference. But we have just seen that this assumption is
incompatible with the most natural definition of simultaneity..." And on
and on he goes.
His conclusion: the notion that simultaneity is independent of the state
of motion of the body of reference must be discarded. Simultaneity, in
his view, is relative to the state of motion of the reference body,
hence his use of the term "the relativity of simultaneity."
My view, on the other hand, is that what he calls "the most natural
definition of simultaneity" is, in fact, a straw man set up for the
explicit purpose of knocking it down. In fact, the method I described is
the most natural method, and, contrary to the assertions of relativists,
that method leads to the same answer, irrespective of the frame of
reference of the person applying it.
--Mitchell Jones}***
The
relativists say the answer is no, that simultaneity is relative; and I
say the answer is yes, when the determination is made using the method
explained below.
Let the speed of travel of the emissions by which events A and B are
detected be represented by V. Let the distances from the locations of
the events to an observer's location(s) at the times of detection be
represented by Da and Db, respectively, and let the times of occurrence
be represented by Ta and Tb, respectively. Result: if an observer
detects an emanation from A at a time T1, he knows that A occurred at Ta
= T1 - Da/V, and if he detects an emanation from B at a time T2, he
knows that B occurred at Tb = T2 - Db/V. Hence the events are
simultaneous if Ta = Tb, and otherwise they are not simultaneous.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'.
***{As noted above, the statement was made merely to simplify the
example. If variable velocity particulate emanations (e.g., bullets) had
been included, I would have had to refer to average velocities, and,
since the average velocities of bullets that travel greater distances
are less, other things equal, than those of bullets that travel lesser
distances, I would have had to reference two values for V, e.g., V1 and
V2. But that would have been pointless. The goal of the example was to
elucidate the principle I had in mind--to wit: that when one focuses on
the distances between the points of emission and reception of the
emanations, rather than on the states of motion of the observers, all
the difficulties in measuring simultaneity simply disappear. Thus I
opted for the simplest presentation that would convey the principle.
That's all there is to it. --MJ}***
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
***{If, for example, the emanations are sound waves, then since the
speed of sound depends on the absolute temperature, one would have to do
a calculation to determine it. --MJ}***
You really need to try to understand whart relativity is all about
before you try to criticise it.
***{And you really need to learn the difference between substantive
argument, empty assertion, and ad hominem statements, if you intend to
participate in reasoned discussions. --MJ}***
(3) Each observer measures the distances, Da and Db, between the
emissions locations and the reception locations. In the case of the
observer standing on the ground, there will be only one reception
location, whereas the moving observer on the train will be at one
location when he receives the emanations from A, and at another when he
receives the those from B. (Note: The moving observer could just as well
be two fixed observers, one observing A from location L1, the other
observing B from location L2, and, later, getting together to compare
notes. The two cases are equivalent because it is not the observer's
state of motion, but his location when he makes the observations, that
is of importance.)
(4) Each observer calculates the values of Ta = T1 - Da/V and Tb = T2 -
Db/V, and sees if they are the same. If they are the same for one
observer, they will be the same for all observers.
The key point here is that the measurement of simultaneity requires that
the observer determine not merely the time at which each emanation is
received, but also the distance between the location of the source when
the emissions were sent out, and his own location at the time when the
emissions were received. If that is done, simple mathematics will
suffice to decide whether the two events are simultaneous or not, and,
most importantly, such decisions about simultaneity will be the same for
all observers.
It is simple pick an arbtrary basis for simultaneity that all observers
could agree on, but what does this achieve?
***{It's not an arbitrary basis. To say that two events are simultaneous
is to say that they occurred at the same time. Unfortunately, our
knowledge that events occurred comes to us via signals that propagate
through space at finite velocities. Result: we must determine the
velocities of the signals, the distances across which they propagated,
and their times of arrival, and use that information to calculate when
the events occurred. If the calculated times of the events are equal,
then the events were simultaneous; if not, not. There isn't anything
arbitrary about such a procedure. It's the only way to determine whether
the events occurred at the same time. --MJ}***
Martin Hogbin
*****************************************************************
If I seem to be ignoring you, consider the possibility
that you are in my killfile. ‹MJ
.
|
|
|
| User: "Martin Hogbin" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 10:22:11 AM |
|
|
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message news:mjones-391371.06495101012007@news.thundernews.com...
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-88E441.03262501012007@news.thundernews.com...
Consider an example of a sort oft repeated by relativists,
Who or what are 'relativists'?
***{Proponents of Einstein's "theory of relativity," of course. --MJ}***
These are called physicists. Einstein's relativity is the only theory
of space and time used and taught the world over.
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
I asked what you meant, not why you said it. What exactly do
you mean by 'constant-velocity' here?
...wavelike
emanations (light, sound, seismic waves, or whatever)
Do you consider all of these to be 'constant-velocity'?
***{They can be. All I'm trying to do is limit my example to situations
in which they are, for the sake of simplicity. --MJ}***
Until you make clear what you mean by 'constant velocity' I
cannot comment.
that pass through space
Seismic waves pass through space?
***{Space is the expanse in which all entities are located. Seismic
waves pass through solid bodies such as the Earth, which are located in
space. Hence the seismic waves pass through space. All motion is motion
through space, in the sense in which I am using the term. Moreover, it
is not an uncommon usage: people speak of the "space" in their
refrigerators, for example, even though their refrigerators contain air.
In such cases, the air is viewed as filling the space, which in turn is
viewed as an expanse in which entities, such as air molecules, are
located. Space doesn't have to be empty, to be space. Hence "vacuum" and
"space" are not equivalent terms, though some usages equate them.
--MJ}***
Seismic waves have a medium, the earth, light does not,
it travels through space.
from their sources to each of the two observers. One event, call
it A, is directly behind the train, and the other, call it B, is
directly ahead. The question asked by relativists is whether it is
possible to objectively determine if A and B are simultaneous. That is,
is there a method for determining simultaneity which ensures that all
observers who reason correctly will come to the same conclusion?
That is not the question asked by physicists.
***{There are hundreds if not thousands of examples proving your
assertion to be false. In particular, it is the question asked by
physicists who comprehend what must be demonstrated, in order to
establish the relativism of simultaneity. For if an objective method for
determining simultaneity exists, then it makes no sense to claim, as
relativists do, that the answer depends on the frame of reference one
chooses.
'Objective measurement of simultaneity' does not really have any
meaning in this context. What do you mean by 'objective'?
Here is a quote from a fairly typical statement of this issue:
"Supposing that as a result of ingenious considerations an able
meteorologist were to discover that the lightning must always strike the
places A and B simultaneously, then we should be faced with the task of
testing whether or not this theoretical result is in accordance with the
reality. We encounter the same difficulty with all physical statements
in which the conception ³simultaneous² plays a part. The concept does
not exist for the physicist until he has the possibility of discovering
whether or not it is fulfilled in an actual case. We thus require a
definition of simultaneity such that this definition supplies us with
the method by means of which, in the present case, he can decide by
experiment whether or not both the lightning strokes occurred
simultaneously. As long as this requirement is not satisfied, I allow
myself to be deceived as a physicist (and of course the same applies if
I am not a physicist), when I imagine that I am able to attach a meaning
to the statement of simultaneity." [Source:
http://www.bartleby.com/173/8.html]
Subsequent to the above paragraph, the author argues that there is no
method by means of which it can be decided by experiment whether two
events occurred simultaneously, and so he concludes that:
"Events which are simultaneous with reference to the embankment are not
simultaneous with respect to the train, and vice versa (relativity of
simultaneity). Every reference-body (co-ordinate system) has its own
particular time; unless we are told the reference-body to which the
statement of time refers, there is no meaning in a statement of the time
of an event."
"Now before the advent of the theory of relativity it had always tacitly
been assumed in physics that the statement of time had an absolute
significance, i.e. that it is independent of the state of motion of the
body of reference. But we have just seen that this assumption is
incompatible with the most natural definition of simultaneity..." And on
and on he goes.
His conclusion: the notion that simultaneity is independent of the state
of motion of the body of reference must be discarded. Simultaneity, in
his view, is relative to the state of motion of the reference body,
hence his use of the term "the relativity of simultaneity."
My view, on the other hand, is that what he calls "the most natural
definition of simultaneity" is, in fact, a straw man set up for the
explicit purpose of knocking it down. In fact, the method I described is
the most natural method, and, contrary to the assertions of relativists,
that method leads to the same answer, irrespective of the frame of
reference of the person applying it.
Einstein makes clear that his views on simultaneity are based
on his two, well-knwn, postulates.
You can propose yout own postulates but you must make
clear what they are.
The
relativists say the answer is no, that simultaneity is relative; and I
say the answer is yes, when the determination is made using the method
explained below.
Let the speed of travel of the emissions by which events A and B are
detected be represented by V. Let the distances from the locations of
the events to an observer's location(s) at the times of detection be
represented by Da and Db, respectively, and let the times of occurrence
be represented by Ta and Tb, respectively. Result: if an observer
detects an emanation from A at a time T1, he knows that A occurred at Ta
= T1 - Da/V, and if he detects an emanation from B at a time T2, he
knows that B occurred at Tb = T2 - Db/V. Hence the events are
simultaneous if Ta = Tb, and otherwise they are not simultaneous.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'.
***{As noted above, the statement was made merely to simplify the
example. If variable velocity particulate emanations (e.g., bullets) had
been included, I would have had to refer to average velocities, and,
since the average velocities of bullets that travel greater distances
are less, other things equal, than those of bullets that travel lesser
distances, I would have had to reference two values for V, e.g., V1 and
V2. But that would have been pointless. The goal of the example was to
elucidate the principle I had in mind--to wit: that when one focuses on
the distances between the points of emission and reception of the
emanations, rather than on the states of motion of the observers, all
the difficulties in measuring simultaneity simply disappear. Thus I
opted for the simplest presentation that would convey the principle.
That's all there is to it. --MJ}***
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
***{If, for example, the emanations are sound waves, then since the
speed of sound depends on the absolute temperature, one would have to do
a calculation to determine it. --MJ}***
You really need to try to understand whart relativity is all about
before you try to criticise it.
***{And you really need to learn the difference between substantive
argument, empty assertion, and ad hominem statements, if you intend to
participate in reasoned discussions. --MJ}***
I am waiting for some substantive argument from you.
(3) Each observer measures the distances, Da and Db, between the
emissions locations and the reception locations. In the case of the
observer standing on the ground, there will be only one reception
location, whereas the moving observer on the train will be at one
location when he receives the emanations from A, and at another when he
receives the those from B. (Note: The moving observer could just as well
be two fixed observers, one observing A from location L1, the other
observing B from location L2, and, later, getting together to compare
notes. The two cases are equivalent because it is not the observer's
state of motion, but his location when he makes the observations, that
is of importance.)
(4) Each observer calculates the values of Ta = T1 - Da/V and Tb = T2 -
Db/V, and sees if they are the same. If they are the same for one
observer, they will be the same for all observers.
The key point here is that the measurement of simultaneity requires that
the observer determine not merely the time at which each emanation is
received, but also the distance between the location of the source when
the emissions were sent out, and his own location at the time when the
emissions were received. If that is done, simple mathematics will
suffice to decide whether the two events are simultaneous or not, and,
most importantly, such decisions about simultaneity will be the same for
all observers.
It is simple pick an arbtrary basis for simultaneity that all observers
could agree on, but what does this achieve?
***{It's not an arbitrary basis. To say that two events are simultaneous
is to say that they occurred at the same time. Unfortunately, our
knowledge that events occurred comes to us via signals that propagate
through space at finite velocities. Result: we must determine the
velocities of the signals, the distances across which they propagated,
and their times of arrival, and use that information to calculate when
the events occurred.
Agreed, but we must also decide on what speed our siganls
propagate at in all frames. Einstein makes this clear, you do not.
If the calculated times of the events are equal,
then the events were simultaneous; if not, not. There isn't anything
arbitrary about such a procedure.
That is correct, once you have come to some agreement on the
way signals propagate. You have not made that clear you use a
completely undefined term 'constant-velocity wavelike emanations'.
Martin Hogbin
.
|
|
|
| User: "Mitchell Jones" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 03:35:35 PM |
|
|
In article <j9Kdnb682aKmqATYnZ2dnUVZ8q6nnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-391371.06495101012007@news.thundernews.com...
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-88E441.03262501012007@news.thundernews.com...
Consider an example of a sort oft repeated by relativists,
Who or what are 'relativists'?
***{Proponents of Einstein's "theory of relativity," of course. --MJ}***
These are called physicists.
***{They are surely relativists. Whether they are physicists is a matter
that must be decided on a case-by-case basis. :-) --MJ}***
Einstein's relativity is the only theory
of space and time used and taught the world over.
***{False as stated. To make it true, it must be reworded. For example:
"Einstein's relativity is virtually the only theory of space and time
taught in universities the world over. Virtually the only theory of
space and time that is used outside of universities, on the other hand,
is the Newtonian theory of absolute space and time."
You agree with that, right? :-)
--MJ}***
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
I asked what you meant, not why you said it. What exactly do
you mean by 'constant-velocity' here?
***{It means the emissions in the example are presumed to travel at a
constant speed in a straight line as they move from the point of
emission to the point of detection. If D is the distance and V is the
speed (i.e., not in boldface type, hence not a vector), then the travel
time from emission to detection is D/V. A non-constant velocity
emanation would be, for example, a bullet, which would follow a curved
(ballistic) path at a speed that was not constant. In cases where the
speed or direction of the signal varies, the same principles apply, but
the analysis becomes a bit more complex. Thus for the sake of
simplicity, I stipulated that the emissions are "constant velocity" in
my example. --MJ}***
...wavelike
emanations (light, sound, seismic waves, or whatever)
Do you consider all of these to be 'constant-velocity'?
***{They can be. All I'm trying to do is limit my example to situations
in which they are, for the sake of simplicity. --MJ}***
Until you make clear what you mean by 'constant velocity' I
cannot comment.
that pass through space
Seismic waves pass through space?
***{Space is the expanse in which all entities are located. Seismic
waves pass through solid bodies such as the Earth, which are located in
space. Hence the seismic waves pass through space. All motion is motion
through space, in the sense in which I am using the term. Moreover, it
is not an uncommon usage: people speak of the "space" in their
refrigerators, for example, even though their refrigerators contain air.
In such cases, the air is viewed as filling the space, which in turn is
viewed as an expanse in which entities, such as air molecules, are
located. Space doesn't have to be empty, to be space. Hence "vacuum" and
"space" are not equivalent terms, though some usages equate them.
--MJ}***
Seismic waves have a medium, the earth, light does not,
it travels through space.
***{In the classical tradition, space was regarded as the expanse within
which all entities are located. The idea was that of an infinite void,
in which entities were strewn about. If the entities could somehow be
removed, the void--space--would remain. Within that framework,
everything is in space, and, thus, everything that moves, including
seismic waves, moves through space. If you don't like that usage, that's
fine. You don't have to use it. I'm simply responding to your original
question by pointing out what I had in mind when I said that seismic
waves pass through space. By my definition of space, for example, I can
say that the space immediately above the Earth's surface is filled with
air, or that shear waves move through space by traveling through solid
material. By your usage, neither air nor solid material would qualify as
space, whereas by my usage air and solid material both occupy space,
and, thus, anything that moves through them moves through space as well.
--MJ}***
from their sources to each of the two observers. One event, call
it A, is directly behind the train, and the other, call it B, is
directly ahead. The question asked by relativists is whether it is
possible to objectively determine if A and B are simultaneous. That is,
is there a method for determining simultaneity which ensures that all
observers who reason correctly will come to the same conclusion?
That is not the question asked by physicists.
***{There are hundreds if not thousands of examples proving your
assertion to be false. In particular, it is the question asked by
physicists who comprehend what must be demonstrated, in order to
establish the relativism of simultaneity. For if an objective method for
determining simultaneity exists, then it makes no sense to claim, as
relativists do, that the answer depends on the frame of reference one
chooses.
'Objective measurement of simultaneity' does not really have any
meaning in this context. What do you mean by 'objective'?
***{An objective method of measurement is one that always gives the same
answer to the same question, if the method is correctly applied. That
means the answer does not depend on anything about the person doing the
measurement; it only depends on the characteristics of the thing or
phenomenon being measured. An objective measure of simultaneity, like an
objective measure of height, produces only one correct answer to a given
question. If more than one equally valid answer is possible, depending
on the frame of reference, the sex, the skin color, or any other
characteristic of the observer, then the measure in question is not an
objective one. --MJ}***
Here is a quote from a fairly typical statement of this issue:
"Supposing that as a result of ingenious considerations an able
meteorologist were to discover that the lightning must always strike the
places A and B simultaneously, then we should be faced with the task of
testing whether or not this theoretical result is in accordance with the
reality. We encounter the same difficulty with all physical statements
in which the conception ³simultaneous² plays a part. The concept does
not exist for the physicist until he has the possibility of discovering
whether or not it is fulfilled in an actual case. We thus require a
definition of simultaneity such that this definition supplies us with
the method by means of which, in the present case, he can decide by
experiment whether or not both the lightning strokes occurred
simultaneously. As long as this requirement is not satisfied, I allow
myself to be deceived as a physicist (and of course the same applies if
I am not a physicist), when I imagine that I am able to attach a meaning
to the statement of simultaneity." [Source:
http://www.bartleby.com/173/8.html]
Subsequent to the above paragraph, the author argues that there is no
method by means of which it can be decided by experiment whether two
events occurred simultaneously, and so he concludes that:
"Events which are simultaneous with reference to the embankment are not
simultaneous with respect to the train, and vice versa (relativity of
simultaneity). Every reference-body (co-ordinate system) has its own
particular time; unless we are told the reference-body to which the
statement of time refers, there is no meaning in a statement of the time
of an event."
"Now before the advent of the theory of relativity it had always tacitly
been assumed in physics that the statement of time had an absolute
significance, i.e. that it is independent of the state of motion of the
body of reference. But we have just seen that this assumption is
incompatible with the most natural definition of simultaneity..." And on
and on he goes.
His conclusion: the notion that simultaneity is independent of the state
of motion of the body of reference must be discarded. Simultaneity, in
his view, is relative to the state of motion of the reference body,
hence his use of the term "the relativity of simultaneity."
My view, on the other hand, is that what he calls "the most natural
definition of simultaneity" is, in fact, a straw man set up for the
explicit purpose of knocking it down. In fact, the method I described is
the most natural method, and, contrary to the assertions of relativists,
that method leads to the same answer, irrespective of the frame of
reference of the person applying it.
Einstein makes clear that his views on simultaneity are based
on his two, well-knwn, postulates.
You can propose yout own postulates but you must make
clear what they are.
***{You are making this more complicated than it is. If we receive
signals from two events and want to decide whether the events were
simultaneous--i.e., whether they occurred at the same time--we simply
subtract the transit times of the signals from their respective times of
reception, and see if the times of occurrence of the two events are the
same. If they are, the events were simultaneous, and if not, not. The
technique is so simple that virtually anyone can understand it. --MJ}***
The
relativists say the answer is no, that simultaneity is relative; and I
say the answer is yes, when the determination is made using the method
explained below.
Let the speed of travel of the emissions by which events A and B are
detected be represented by V. Let the distances from the locations of
the events to an observer's location(s) at the times of detection be
represented by Da and Db, respectively, and let the times of occurrence
be represented by Ta and Tb, respectively. Result: if an observer
detects an emanation from A at a time T1, he knows that A occurred at
Ta
= T1 - Da/V, and if he detects an emanation from B at a time T2, he
knows that B occurred at Tb = T2 - Db/V. Hence the events are
simultaneous if Ta = Tb, and otherwise they are not simultaneous.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'.
***{As noted above, the statement was made merely to simplify the
example. If variable velocity particulate emanations (e.g., bullets) had
been included, I would have had to refer to average velocities, and,
since the average velocities of bullets that travel greater distances
are less, other things equal, than those of bullets that travel lesser
distances, I would have had to reference two values for V, e.g., V1 and
V2. But that would have been pointless. The goal of the example was to
elucidate the principle I had in mind--to wit: that when one focuses on
the distances between the points of emission and reception of the
emanations, rather than on the states of motion of the observers, all
the difficulties in measuring simultaneity simply disappear. Thus I
opted for the simplest presentation that would convey the principle.
That's all there is to it. --MJ}***
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
***{If, for example, the emanations are sound waves, then since the
speed of sound depends on the absolute temperature, one would have to do
a calculation to determine it. --MJ}***
You really need to try to understand whart relativity is all about
before you try to criticise it.
***{And you really need to learn the difference between substantive
argument, empty assertion, and ad hominem statements, if you intend to
participate in reasoned discussions. --MJ}***
I am waiting for some substantive argument from you.
***{In my view, a substantive argument is one that addresses the content
of an opinion, rather than being directed at the personal
characteristics of the opinion holder or some other irrelevancy. Your
insinuation, three sentences above, that I do not understand relativity,
would be an example of a non-substantive argument. And virtually
everything I have said to you thus far, including what I am saying right
now, has been directed at the content of what you have said rather than
at irrelevancies. Hence virtually everything I have said to you has been
substantive, and yet you say you are waiting for a substantive argument
from me. It would seem that either (a) you are stating deliberate
falsehoods in an attempt to be provocative, or (b) you have a very
different definition of "substantive argument" than the one I stated
above. If it is the latter, then please state your definition, so I can
try to figure out what it is that you want from me. --MJ}***
(3) Each observer measures the distances, Da and Db, between the
emissions locations and the reception locations. In the case of the
observer standing on the ground, there will be only one reception
location, whereas the moving observer on the train will be at one
location when he receives the emanations from A, and at another when he
receives the those from B. (Note: The moving observer could just as
well
be two fixed observers, one observing A from location L1, the other
observing B from location L2, and, later, getting together to compare
notes. The two cases are equivalent because it is not the observer's
state of motion, but his location when he makes the observations, that
is of importance.)
(4) Each observer calculates the values of Ta = T1 - Da/V and Tb = T2 -
Db/V, and sees if they are the same. If they are the same for one
observer, they will be the same for all observers.
The key point here is that the measurement of simultaneity requires
that
the observer determine not merely the time at which each emanation is
received, but also the distance between the location of the source when
the emissions were sent out, and his own location at the time when the
emissions were received. If that is done, simple mathematics will
suffice to decide whether the two events are simultaneous or not, and,
most importantly, such decisions about simultaneity will be the same
for
all observers.
It is simple pick an arbtrary basis for simultaneity that all observers
could agree on, but what does this achieve?
***{It's not an arbitrary basis. To say that two events are simultaneous
is to say that they occurred at the same time. Unfortunately, our
knowledge that events occurred comes to us via signals that propagate
through space at finite velocities. Result: we must determine the
velocities of the signals, the distances across which they propagated,
and their times of arrival, and use that information to calculate when
the events occurred.
Agreed, but we must also decide on what speed our siganls
propagate at in all frames. Einstein makes this clear, you do not.
***{The velocity of a wavelike emanation is measured relative to the
medium through which the emanation propagates, and thus it is the
distance from the point of emission in that medium to the point of
reception in that medium, which must be determined and used. If, for
example, events A and B are explosions, and the emissions that are
detected are sounds, then the points of emission and detection are
located within the air mass itself, rather than on the ground. Result:
the distances that must be determined are path lengths from emission
point to detection point within the air mass. That state of affairs,
however, does not imply that the person who determines the distance
relative to the ground is expressing an equally valid alternative point
of view, for, in fact, he is simply wrong. And the same applies to those
who measure the distance relative to the plane of the ecliptic, or
relative to the planet Mars, or whatever. The answer determined when
distance is measured in the medium of propagation is correct, and
answers determined by measuring in other frames are incorrect.
Simultaneity, therefore, is absolute, not relative. --MJ}***
If the calculated times of the events are equal,
then the events were simultaneous; if not, not. There isn't anything
arbitrary about such a procedure.
That is correct, once you have come to some agreement on the
way signals propagate. You have not made that clear you use a
completely undefined term 'constant-velocity wavelike emanations'.
***{You raised that objection further up as well, and I responded to it
there. --MJ}***
Martin Hogbin
*****************************************************************
If I seem to be ignoring you, consider the possibility
that you are in my killfile. ‹MJ
.
|
|
|
| User: "Martin Hogbin" |
|
| Title: Re: The Non-Relativity of Simultaneity |
01 Jan 2007 04:24:16 PM |
|
|
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message news:mjones-38ADC6.15353401012007@news.thundernews.com...
In article <j9Kdnb682aKmqATYnZ2dnUVZ8q6nnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-391371.06495101012007@news.thundernews.com...
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Einstein's relativity is virtually the only theory of space and time
taught in universities the world over. Virtually the only theory of
space and time that is used outside of universities, on the other hand,
is the Newtonian theory of absolute space and time."
You agree with that, right? :-)
OK. But I trust you get my point.
--MJ}***
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
I asked what you meant, not why you said it. What exactly do
you mean by 'constant-velocity' here?
***{It means the emissions in the example are presumed to travel at a
constant speed in a straight line as they move from the point of
emission to the point of detection. If D is the distance and V is the
speed (i.e., not in boldface type, hence not a vector), then the travel
time from emission to detection is D/V.
MJ}***
That is fine, in one frame of reference the emanations have constant
velocity, but what would the velocity be in a frame of reference
moving with respect to the first one? Let us assume that this frame
is moving relative to the first frame in the same direction as the
emanation propagation.
'Objective measurement of simultaneity' does not really have any
meaning in this context. What do you mean by 'objective'?
***{An objective method of measurement is one that always gives the same
answer to the same question, if the method is correctly applied. That
means the answer does not depend on anything about the person doing the
measurement; it only depends on the characteristics of the thing or
phenomenon being measured.
In relativity jargon such things would be called invariants, but I
suspect that that is not quite what you mean.
Could you measure the speed of a bullet objectively in your opinion?
Or its energy or momentum?
An objective measure of simultaneity, like an
objective measure of height, produces only one correct answer to a given
question.
If more than one equally valid answer is possible, depending
on the frame of reference, the sex, the skin color, or any other
characteristic of the observer, then the measure in question is not an
objective one. --MJ}***
But, as you have quoted, Einstein has shown that _if you accept
his two postulates_ simultaneity is not the same in all reference frames.
I assume that you disagree with one or more of his postulates.
It might have been easier if you had stated that at the start.
Einstein makes clear that his views on simultaneity are based
on his two, well-knwn, postulates.
You can propose yout own postulates but you must make
clear what they are.
***{You are making this more complicated than it is. If we receive
signals from two events and want to decide whether the events were
simultaneous--i.e., whether they occurred at the same time--we simply
subtract the transit times of the signals from their respective times of
reception, and see if the times of occurrence of the two events are the
same. If they are, the events were simultaneous, and if not, not. The
technique is so simple that virtually anyone can understand it. --MJ}***
Yes but, if you accept Einsteins two postulates, this method does not
give the same answer in all frames of refernce. Do you agree with this?
I will come back to your original method later.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'.
***{As noted above, the statement was made merely to simplify the
example. If variable velocity particulate emanations (e.g., bullets) had
been included, I would have had to refer to average velocities, and,
since the average velocities of bullets that travel greater distances
are less, other things equal, than those of bullets that travel lesser
distances, I would have had to reference two values for V, e.g., V1 and
V2. But that would have been pointless. The goal of the example was to
elucidate the principle I had in mind--to wit: that when one focuses on
the distances between the points of emission and reception of the
emanations, rather than on the states of motion of the observers, all
the difficulties in measuring simultaneity simply disappear. Thus I
opted for the simplest presentation that would convey the principle.
That's all there is to it. --MJ}***
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
***{If, for example, the emanations are sound waves, then since the
speed of sound depends on the absolute temperature, one would have to do
a calculation to determine it. --MJ}***
You really need to try to understand whart relativity is all about
before you try to criticise it.
***{And you really need to learn the difference between substantive
argument, empty assertion, and ad hominem statements, if you intend to
participate in reasoned discussions. --MJ}***
I am waiting for some substantive argument from you.
***{In my view, a substantive argument is one that addresses the content
of an opinion, rather than being directed at the personal
characteristics of the opinion holder or some other irrelevancy. Your
insinuation, three sentences above, that I do not understand relativity,
would be an example of a non-substantive argument.
From what you have said above, it seems clear to me that you do not
understand Einstein's train experiment and the way in which the postulate
that the speed of light is the same in all inertial refernce frames means that
your proposed method of determining simultaneity gives different answers
in different reference frames. This was not intended as a personal attack
on you.
It is simple pick an arbtrary basis for simultaneity that all observers
could agree on, but what does this achieve?
***{It's not an arbitrary basis. To say that two events are simultaneous
is to say that they occurred at the same time. Unfortunately, our
knowledge that events occurred comes to us via signals that propagate
through space at finite velocities. Result: we must determine the
velocities of the signals, the distances across which they propagated,
and their times of arrival, and use that information to calculate when
the events occurred.
Agreed, but we must also decide on what speed our siganls
propagate at in all frames. Einstein makes this clear, you do not.
***{The velocity of a wavelike emanation is measured relative to the
medium through which the emanation propagates,
Aha!! Got there at last. So you are dropping Einstein's light speed
postulate in favour of one of your own.
You postulate that light travels at a fixed speed realtive to some
medium. Correct?
and thus it is the
distance from the point of emission in that medium to the point of
reception in that medium, which must be determined and used. If, for
example, events A and B are explosions, and the emissions that are
detected are sounds, then the points of emission and detection are
located within the air mass itself, rather than on the ground. Result:
the distances that must be determined are path lengths from emission
point to detection point within the air mass. That state of affairs,
however, does not imply that the person who determines the distance
relative to the ground is expressing an equally valid alternative point
of view, for, in fact, he is simply wrong. And the same applies to those
who measure the distance relative to the plane of the ecliptic, or
relative to the planet Mars, or whatever. The answer determined when
distance is measured in the medium of propagation is correct, and
answers determined by measuring in other frames are incorrect.
Simultaneity, therefore, is absolute, not relative. --MJ}***
Yes. If we accept your postulate instead of Einstein's.
Martin Hogbin
.
|
|
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| User: "Mitchell Jones" |
|
| Title: Re: The Non-Relativity of Simultaneity |
04 Jan 2007 12:27:47 AM |
|
|
In article <aMqdnWelEv4dFQTYRVnygQA@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-38ADC6.15353401012007@news.thundernews.com...
In article <j9Kdnb682aKmqATYnZ2dnUVZ8q6nnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-391371.06495101012007@news.thundernews.com...
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Einstein's relativity is virtually the only theory of space and time
taught in universities the world over. Virtually the only theory of
space and time that is used outside of universities, on the other hand,
is the Newtonian theory of absolute space and time."
You agree with that, right? :-)
OK. But I trust you get my point.
***{Perhaps. It is a fact that the theory of relativity is dominant in
the universities, and my guess is that you believe that ought to give it
a measure of credibility. That's probably because you see present-day
universities as institutions devoted to the pursuit of truth, and, thus,
as places where truth is likely to prevail. I, on the other hand,
believe that government funding has long since corrupted the
truth-finding process, and see government funded or accredited
"educational" institutions as propaganda organs of the state, devoted to
the promotion of state worship and irrationalism, and, thus, to the
crippling of young minds. Result: I expect howling nonsense to be part
of the required teachings in every discipline, and expect the
conclusions of rational thinkers to be denigrated and suppressed. Thus I
am not surprised that chairs in economics are held by fascists and
communists, that chairs in philosophy are held by individuals who deny
that reality is knowable, that chairs in psychology are held by persons
who deny the existence of the mind, and that chairs in physics are held
by men who promote the interpretative frameworks of irrationalists such
as Albert Einstein, Neils Bohr, and others. Result: the fact that
relativity is dominant in the universities does not, to me, give it any
credibility at all. --MJ}***
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and
two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various
emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
I asked what you meant, not why you said it. What exactly do
you mean by 'constant-velocity' here?
***{It means the emissions in the example are presumed to travel at a
constant speed in a straight line as they move from the point of
emission to the point of detection. If D is the distance and V is the
speed (i.e., not in boldface type, hence not a vector), then the travel
time from emission to detection is D/V.
MJ}***
That is fine, in one frame of reference the emanations have constant
velocity, but what would the velocity be in a frame of reference
moving with respect to the first one? Let us assume that this frame
is moving relative to the first frame in the same direction as the
emanation propagation.
***{My purpose in this discussion is to establish the non-relativism of
simultaneity. This is a matter of more significance than it at first
appears, because any statement of the time of occurrence of a single
event, A, is a statement of simultaneity: you are alleging coincidence
between the occurrence of A and the appearance of a certain position of
the hands on the face of a clock, which might just as well be labeled
event B. Thus any attack on the concept of simultaneity is, by
implication, an attack on the idea that any event occurred at a specific
time. Thus simple statements such as "The movie started at 6 p.m.,"
would, by a relativist who understood his own position, be deemed
meaningless.
To establish the non-relativism of simultaneity I have attempted to
demonstrate a method of determining simultaneity which, if applied
accurately, will give all observers the same answer to a given question.
That method simply subtracts the transit times of the emanations from
the two events from their respective times of detection, thereby
determining the times when the events occurred, and, if the times of
occurrence are the same, the events are declared to be simultaneous.
In that method, the transit time of a signal is simply the distance
traveled by the emanation, divided by the velocity of its propagation,
both taken with respect to the medium of propagation of the emanations.
The velocity of sound, for example, is taken with respect to the air
through which it propagates, as is the distance traveled. These are not
arbitrary data. They are used because it would be physically incorrect
to do the calculation without them--which means: even if you employ a
more complex procedure to do the calculation, it must contain within it
the elements of the simpler method.
Consider, for example, a case where the sound of an explosion rattled
windows in a town on the equator at midnight, GMT, and, by subsequent
investigation, it was determined that a plant manufacturing chemical
fertilizers 100 miles to the west had disappeared, leaving only a
crater. My method would place the time of the event as midnight minus
the time required for the sound to travel 100 miles. Assuming a
temperature of 20 C, the speed of sound would be about 768 mph, and so
the propagation delay would be 100/768 = .13 hour, or 7.8 minutes. Hence
I would conclude that the explosion occurred a few seconds after 11:52
p.m. GMT.
A relativist, of course, would allege, correctly, that I could in
principle use the distance traveled relative to the plane of earth's
orbit. In that frame, the sound wave traveled about 8,424 miles along
the orbit, plus about 135 miles due to Earth's rotation, plus 100 miles
from the plant to the town. (Remember: I'm assuming the explosion
occurred on the equator and the town was due east of the fertilizer
plant.) That comes out to a distance of about 8659 miles. And, of
course, the speed of propagation of the sound wave becomes 64,800 mph
(18 miles/sec) plus 1038 mph plus 768 mph. Thus we have 8659/66606 = .13
hour, or 7.8 minutes for the signal delay, as before. Thus we place the
event at the same temporal location: about 11:52 p.m. GMT.
So what's wrong with that? The answer: The simplest analysis has the
lowest risk of error, and is for that reason correct. The only numbers
that are significant to the analysis are the distance travelled by the
signal through its medium of propagation (100 miles, in this case) and
the velocity of the signal relative to that medium (768 mph, in this
case), both of which must remain embedded in the calculation when the
reference frame is changed, in order for the increasingly complex
calculations to continue to produce the correct answer. The more other
numbers we pile on top of the necessary elements, the smaller they bulk,
percentagewise, in the result, and the more risk that they, and hence
the truth, will disappear due to rounding errors. The first version
found the truth by merely dividing 100 by 768--which are two 3 digit
numbers. The second version found the truth by dividing 8659 by 66606--a
4 digit number divided by a 5-digit number. Clearly, these two
approaches are not equal. Instead, we are sliding downhill.
And things could get worse. Not merely is the Earth rotating and moving
along its orbit, but the sun and the rest of the solar system are
partaking of the rotation of the Milky Way galaxy, the Milky Way itself
is in rapid motion within the Local Group of galaxies, the Local Group
is itself hurtling through space toward, IIRC, the Virgo cluster, and
on, and on, and on. Since the respective speeds of these motions get
larger and larger as the scales of the objects considered become more
and more massive, it follows that the only numbers that count, the
numbers that make it possible to reach the truth, bulk smaller and
smaller in the total picture. To say that all of these alternative
analyses, using more and more divergent reference frames, are "just as
good" as the simplest one, which uses the medium through which the
signal is actually propagated as its frame of reference, is simply
absurd. Sure, if done correctly, they will all give the same answer as
the first; but the likelihood that they will be done correctly
diminishes as the complexities increase, and, if truth is the goal, they
must be judged to be inferior.
Bottom line:
(1) It is clearly wrong to say that the answers vary depending on the
choice of reference frame even if the analyses are always done
correctly, and, thus, that simultaneity is relative, because if the
method I described is applied correctly, the answers will always be the
same.
(2) It is clearly wrong to say that any reference frame is as good as
any other, and, thus, that there is no preferred reference frame.
--MJ}***
'Objective measurement of simultaneity' does not really have any
meaning in this context. What do you mean by 'objective'?
***{An objective method of measurement is one that always gives the same
answer to the same question, if the method is correctly applied. That
means the answer does not depend on anything about the person doing the
measurement; it only depends on the characteristics of the thing or
phenomenon being measured.
In relativity jargon such things would be called invariants, but I
suspect that that is not quite what you mean.
Could you measure the speed of a bullet objectively in your opinion?
Or its energy or momentum?
***{As I said, an objective method of measurement is one that always
gives the same answer to the same question, if correctly applied. It is
NOT a method that always gives the same answer, regardless of what
question has been asked, or, as you seem to believe, regardless of
WHETHER a question has been asked.
Since you specifically mentioned energy, let's consider a specific
question that might prompt someone to do a kinetic energy calculation.
Suppose, therefore, that you have a wind turbine with a radius of 2
meters, that the average wind speed at your location is 4 mph, the
density of the air is 1.225 kg/m^3, and that, reasonably enough, your
question is:
"What is the average value of kinetic energy per second (i.e., power)
available to this turbine at this location?"
The following formula yields the answer, and it will yield up the same
answer to this question whenever it is correctly applied, irrespective
of the person applying it. Hence it is an objective measure of the
kinetic energy available per second at that location, to that turbine.
P = (1/2)(pi)(r^2)D(V^3).
In the above, r is the radius of the turbine, D is the density of the
air, and V is the average speed of the wind.
Thus the average kinetic energy available per second is:
P = (1/2)(3.14159)(4)(1.225)(5.72) = 44 Joules/sec.
If I have applied the method correctly, that is an objective answer to
the question.
--Mitchell Jones}***
An objective measure of simultaneity, like an
objective measure of height, produces only one correct answer to a given
question.
If more than one equally valid answer is possible, depending
on the frame of reference, the sex, the skin color, or any other
characteristic of the observer, then the measure in question is not an
objective one. --MJ}***
But, as you have quoted, Einstein has shown that _if you accept
his two postulates_ simultaneity is not the same in all reference frames.
I assume that you disagree with one or more of his postulates.
It might have been easier if you had stated that at the start.
***{His postulates are irrelevant. He claimed there is no objective
method for determining whether two events occurred at the same time, and
I have refuted his claim by supplying such a method. Result: there is no
need for us to slog endlessly through the labyrinth of his defective
reasoning. --MJ}***
Einstein makes clear that his views on simultaneity are based
on his two, well-knwn, postulates.
You can propose yout own postulates but you must make
clear what they are.
***{You are making this more complicated than it is. If we receive
signals from two events and want to decide whether the events were
simultaneous--i.e., whether they occurred at the same time--we simply
subtract the transit times of the signals from their respective times of
reception, and see if the times of occurrence of the two events are the
same. If they are, the events were simultaneous, and if not, not. The
technique is so simple that virtually anyone can understand it. --MJ}***
Yes but, if you accept Einsteins two postulates, this method does not
give the same answer in all frames of refernce. Do you agree with this?
***{Einstein was not exactly the brightest bulb in the chandelier, to
put it mildly, and I have no more interest in arguing about his tiresome
circumlocutions than I have in arguing about the Bible. My contention is
that I have supplied what he claimed could not be supplied. If you
disagree, show me where you think I went wrong. --MJ}***
I will come back to your original method later.
None of the above makes any sense until you explain what you
mean by 'constant-velocity wavelike emanations'.
***{As noted above, the statement was made merely to simplify the
example. If variable velocity particulate emanations (e.g., bullets)
had
been included, I would have had to refer to average velocities, and,
since the average velocities of bullets that travel greater distances
are less, other things equal, than those of bullets that travel lesser
distances, I would have had to reference two values for V, e.g., V1 and
V2. But that would have been pointless. The goal of the example was to
elucidate the principle I had in mind--to wit: that when one focuses on
the distances between the points of emission and reception of the
emanations, rather than on the states of motion of the observers, all
the difficulties in measuring simultaneity simply disappear. Thus I
opted for the simplest presentation that would convey the principle.
That's all there is to it. --MJ}***
The method of determination of simultaneity, then, is as follows:
(1) Each observer jots down the times T1 and T2 when he receives
the
emanations.
(2) Each observer determines the speed, V, of the emanations, by
consulting the appropriate reference materials, doing any needed
calculations, etc.
On what basis does the observer do 'calculations etc.' ?
***{If, for example, the emanations are sound waves, then since the
speed of sound depends on the absolute temperature, one would have to
do
a calculation to determine it. --MJ}***
You really need to try to understand whart relativity is all about
before you try to criticise it.
***{And you really need to learn the difference between substantive
argument, empty assertion, and ad hominem statements, if you intend to
participate in reasoned discussions. --MJ}***
I am waiting for some substantive argument from you.
***{In my view, a substantive argument is one that addresses the content
of an opinion, rather than being directed at the personal
characteristics of the opinion holder or some other irrelevancy. Your
insinuation, three sentences above, that I do not understand relativity,
would be an example of a non-substantive argument.
From what you have said above, it seems clear to me that you do not
understand Einstein's train experiment and the way in which the postulate
that the speed of light is the same in all inertial refernce frames means
that
your proposed method of determining simultaneity gives different answers
in different reference frames. This was not intended as a personal attack
on you.
***{Your premise, I think, is that Einstein is correct vis-a-vis this
issue, and, since I disagree with him, it follows that I do not
understand the issue. My premise, on the other hand, is that Einstein is
incorrect, and, since you think he is correct, it follows that you are
the one whose understanding is flawed.
The difference between us is that you introduced your opinion about my
level of understanding into this discussion, whereas I would never have
revealed my opinion about your understanding, if you had not brought the
matter up first. The reason I try to avoid bringing such things up is
that levels of understanding fall into the category of personal
characteristics--which means: they are ad hominem by their very nature,
and should never be introduced into what had been, previously, a
substantive discussion.
Everyone's arguments, of course, reflect their level of understanding,
but in a substantive discussion, participants focus on disputing one
another's arguments, rather than on describing what they imagine their
opponent's personal characteristics to be. In the present instance, we
are not discussing my personal characteristics, or your personal
characteristics, but rather are discussing whether the doctrine of the
"relativity of simultaneity" is valid--which means: we are discussing
whether it is possible to objectively determine whether two events
occurred at the same time. And that, properly, should be our sole focus
in this exchange.
--Mitchell Jones}***
It is simple pick an arbtrary basis for simultaneity that all
observers
could agree on, but what does this achieve?
***{It's not an arbitrary basis. To say that two events are
simultaneous
is to say that they occurred at the same time. Unfortunately, our
knowledge that events occurred comes to us via signals that propagate
through space at finite velocities. Result: we must determine the
velocities of the signals, the distances across which they propagated,
and their times of arrival, and use that information to calculate when
the events occurred.
Agreed, but we must also decide on what speed our siganls
propagate at in all frames. Einstein makes this clear, you do not.
***{The velocity of a wavelike emanation is measured relative to the
medium through which the emanation propagates,
Aha!! Got there at last. So you are dropping Einstein's light speed
postulate in favour of one of your own.
***{I'm not sure where you think you have arrived. I have very specific
opinions about the speed of light, the nature of photons, and so on, and
I'll be happy to discuss them here if they become relevant. But that
isn't going to happen until you put forth some argument that aims to
prove that my method of deciding whether two events happened at the same
time does not work. So let's hear an example from you that purports to
be a situation where my method will not give the same answer to all
persons who correctly apply it. If, in responding to your example, it
becomes necessary for me to go into my views about light, then I will be
happy to do so. --MJ}***
You postulate that light travels at a fixed speed realtive to some
medium. Correct?
***{That may be a topic you like to argue about, but I do not yet see
any reason to consider it as relevant. I hope it is, because I, also,
like to argue about it. However, until you have put forth an example
that you think my method can't handle, which requires me to delve into
that topic, I'm going to let it pass. I am interested in simultaneity
right now, not light. --MJ}***
and thus it is the
distance from the point of emission in that medium to the point of
reception in that medium, which must be determined and used. If, for
example, events A and B are explosions, and the emissions that are
detected are sounds, then the points of emission and detection are
located within the air mass itself, rather than on the ground. Result:
the distances that must be determined are path lengths from emission
point to detection point within the air mass. That state of affairs,
however, does not imply that the person who determines the distance
relative to the ground is expressing an equally valid alternative point
of view, for, in fact, he is simply wrong. And the same applies to those
who measure the distance relative to the plane of the ecliptic, or
relative to the planet Mars, or whatever. The answer determined when
distance is measured in the medium of propagation is correct, and
answers determined by measuring in other frames are incorrect.
Simultaneity, therefore, is absolute, not relative. --MJ}***
Yes. If we accept your postulate instead of Einstein's.
***{To what postulate of mine do you refer? The above paragraph was in
reference to analyses that drop the essential numbers obtainable only
from the preferred frame. Those analyses cannot be made to work, even in
principle. However, as I explained earlier, some alternative frames of
reference retain the essential numbers implicit in the preferred frame,
but push them towards insignificance by burying them under a deluge of
other numbers. In principle, those more complex procedures can be made
to work, but they are to be avoided where possible. The Einsteinian
position, on the other hand, is that some of the alternative frames lead
to different answers to the question of whether the events were
simultaneous, and that those various answers are equally valid--which
means: simultaneity, in the Einsteinian view, is relative, not absolute.
--MJ}***
Martin Hogbin
*****************************************************************
If I seem to be ignoring you, consider the possibility
that you are in my killfile. ‹MJ
.
|
|
|
| User: "Martin Hogbin" |
|
| Title: Re: The Non-Relativity of Simultaneity |
04 Jan 2007 04:01:33 AM |
|
|
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message news:mjones-3FBD93.00274604012007@news.thundernews.com...
In article <aMqdnWelEv4dFQTYRVnygQA@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-38ADC6.15353401012007@news.thundernews.com...
In article <j9Kdnb682aKmqATYnZ2dnUVZ8q6nnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
"Mitchell Jones" <mjones@21cenlogic.com> wrote in message
news:mjones-391371.06495101012007@news.thundernews.com...
In article <AeydnWrVFLJmdAXYnZ2dnUVZ8qijnZ2d@bt.com>,
"Martin Hogbin" <goatREMOVETHIS123@hogbin.org> wrote:
***{Perhaps. It is a fact that the theory of relativity is dominant in
the universities, and my guess is that you believe that ought to give it
a measure of credibility.
Yes.
That's probably because you see present-day
universities as institutions devoted to the pursuit of truth, and, thus,
as places where truth is likely to prevail.
I might not quite go as far as that but I would say that
it would be impossible to impose an incorrect theory on
all the universities of the world.
I, on the other hand,
believe that government funding has long since corrupted the
truth-finding process, and see government funded or accredited
"educational" institutions as propaganda organs of the state, devoted to
the promotion of state worship and irrationalism, and, thus, to the
crippling of young minds.
Why? Relativity has no political value. Besides, it is taught
in universities of a political persuasions and philosophies
Result: I expect howling nonsense to be part
of the required teachings in every discipline, and expect the
conclusions of rational thinkers to be denigrated and suppressed. Thus I
am not surprised that chairs in economics are held by fascists and
communists, that chairs in philosophy are held by individuals who deny
that reality is knowable, that chairs in psychology are held by persons
who deny the existence of the mind, and that chairs in physics are held
by men who promote the interpretative frameworks of irrationalists such
as Albert Einstein, Neils Bohr, and others. Result: the fact that
relativity is dominant in the universities does not, to me, give it any
credibility at all. --MJ}***
That puts you in an extreme minority. You must make your case well.
wherein a
train is moving along an embankment. An observer is standing on the
train, moving past a second observer standing on the ground, and
two
events occur. Each event acts as a source of constant-velocity...
What do mean by 'constant-velocity' here?
***{I'm setting up an example, for purposes of discussion. Relativists
talk about these sorts of examples all the time, using various
emissions
(light, sound, etc.) that are presumed to be constant velocity within
the context of the discussion. I simply chose to state that explicitly,
rather that count on it being assumed. --MJ}***
I asked what you meant, not why you said it. What exactly do
you mean by 'constant-velocity' here?
***{It means the emissions in the example are presumed to travel at a
constant speed in a straight line as they move from the point of
emission to the point of detection. If D is the distance and V is the
speed (i.e., not in boldface type, hence not a vector), then the travel
time from emission to detection is D/V.
MJ}***
That is fine, in one frame of reference the emanations have constant
velocity, but what would the velocity be in a frame of reference
moving with respect to the first one? Let us assume that this frame
is moving relative to the first frame in the same direction as the
emanation propagation.
***{My purpose in this discussion is to establish the non-relativism of
simultaneity. This is a matter of more significance than it at first
appears, because any statement of the time of occurrence of a single
event, A, is a statement of simultaneity: you are alleging coincidence
between the occurrence of A and the appearance of a certain position of
the hands on the face of a clock, which might just as well be labeled
event B. Thus any attack on the concept of simultaneity is, by
implication, an attack on the idea that any event occurred at a specific
time. Thus simple statements such as "The movie started at 6 p.m.,"
would, by a relativist who understood his own position, be deemed
meaningless.
Correct.
To establish the non-relativism of simultaneity I have attempted to
demonstrate a method of determining simultaneity which, if applied
accurately, will give all observers the same answer to a given question.
That method simply subtracts the transit times of the emanations from
the two events from their respective times of detection, thereby
determining the times when the events occurred, and, if the times of
occurrence are the same, the events are declared to be simultaneous.
In that method, the transit time of a signal is simply the distance
traveled by the emanation, divided by the velocity of its propagation,
both taken with respect to the medium of propagation of the emanations.
The velocity of sound, for example, is taken with respect to the air
through which it propagates, as is the distance traveled. These are not
arbitrary data. They are used because it would be physically incorrect
to do the calculation without them--which means: even if you employ a
more complex procedure to do the calculation, it must contain within it
the elements of the simpler method.
Your method is obvious but it depends totally on at what speed you
expect the emanation to move in each reference frame. Einstein postulated
that light travelled at the same speed in all reference frames. If
you do not accept this postulate then all his subsequent analysis is
invalid.
Consider, for example, a case where the sound of an explosion rattled
windows in a town on the equator at midnight, GMT, and, by subsequent
investigation, it was determined that a plant manufacturing chemical
fertilizers 100 miles to the west had disappeared, leaving only a
crater. My method would place the time of the event as midnight minus
the time required for the sound to travel 100 miles. Assuming a
temperature of 20 C, the speed of sound would be about 768 mph, and so
the propagation delay would be 100/768 = .13 hour, or 7.8 minutes. Hence
I would conclude that the explosion occurred a few seconds after 11:52
p.m. GMT.
A relativist, of course, would allege, correctly, that I could in
principle use the distance traveled relative to the plane of earth's
orbit. In that frame, the sound wave traveled about 8,424 miles along
the orbit, plus about 135 miles due to Earth's rotation, plus 100 miles
from the plant to the town. (Remember: I'm assuming the explosion
occurred on the equator and the town was due east of the fertilizer
plant.) That comes out to a distance of about 8659 miles. And, of
course, the speed of propagation of the sound wave becomes 64,800 mph
(18 miles/sec) plus 1038 mph plus 768 mph.
Einstein postulated that this was no so with light. He postulated that
it travelled at the same speed (in vacuo) in all inertial reference frames.
Thus we have 8659/66606 = .13
hour, or 7.8 minutes for the signal delay, as before. Thus we place the
event at the same temporal location: about 11:52 p.m. GMT.
So what's wrong with that? The answer: The simplest analysis has the
lowest risk of error, and is for that reason correct. The only numbers
that are significant to the analysis are the distance travelled by the
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