"PD" <pdraper@yahoo.com> wrote in message
news:1106064073.115412.99040@f14g2000cwb.googlegroups.com...
[Top-posting because there is nothing to directly address below.]
I'm sorry this ended so ignominiously, Androcles.
Yeah, well,
"But I want this to be a fruitful exchange between the two of us, so
let's agree on some ground rules. We'll go things one little step
at a time. When we get to a point of conflict, we'll identify what the
error is on either side, and the party in error MUST acknowledge
the error and remove the erroneous statement from further discussion." -
PD.
Have you identified what you claim to be error in my statement that the
PoR is simply the vector addition of velocities?
No, you parrot on about it being some crap about "the same laws of
electrodynamics and optics will be valid for all frames of reference for
which the equations of mechanics hold good."
Then you DENY that the laws of electrodynamics and optics hold good,
claiming light speed invariant.
The PoR was first expounded upon by Galileo Galilei and Nicholas
Copernicus, when it was realized that the Earth is just another planet
of the Sun.
The sun does not cross the sky from East to West, the Earth turns on its
axis from West to East. THAT is the PRINCIPLE of RELATIVITY in action,
every single day.
You simply do not understand physics and display no desire to learn. You
are deluded by Einstein and quote without understanding, yet so
sanctimonious and confident of yourself you think you can explain it to
me!
You are smarter than you are given credit for, and near the end you
were challenging in some of the right places to challenge.
You smug *****. I'm a helluva lot smarter than you'll ever be, and you
are in no position to judge me. You were so confident you'd win the
debate you never thought you'd be defeated. Well, you have been.
You thought you'd explain it all and I'd have to eat crow. You've dug
yourself a hole so deep when you departed from Einstein's definition of
simultaneity you'll never get out of it again. I'll bury you in it if
you so much as attempt to reverse your position.
You are no challenge. I can take you on with one hand behind my back.
I'll leave it at that. Conversation over.
PD
Go on, run away and eat crow, Mr. Ignominious Fruitful Exchange, you are
worthless.
Androcles.
Androcles wrote:
"PD" <pdraper@yahoo.com> wrote in message
news:1106055640.563966.160690@c13g2000cwb.googlegroups.com...
Androcles wrote:
"PDraper" <pdraper@yahoo.com> wrote in message
news:BE11F5BB.1E70%pdraper@yahoo.com...
On 1/17/05 5:59 PM, in article
LrXGd.152333$48.140018@fe1.news.blueyonder.co.uk, "Androcles"
<dummy@dummy.net> wrote:
"PD" <pdraper@yahoo.com> wrote in message
news:1105988498.458913.16740@z14g2000cwz.googlegroups.com...
Androcles wrote:
"PDraper" <pdraper@yahoo.com> wrote in message
news:BE113CB9.18AE%pdraper@yahoo.com...
On 1/15/05 9:07 AM, in article
ks9Gd.140879$48.24527@fe1.news.blueyonder.co.uk, "Androcles"
<dummy@dummy.net> wrote:
"PD" <pdraper@yahoo.com> wrote in message
news:1105792829.977686.183780@c13g2000cwb.googlegroups.com...
Androcles wrote:
"Gregory L. Hansen" <glhansen@steel.ucs.indiana.edu>
wrote
in
message
I see nothing wrong with Einstein's recipie:
simultaneously
measure
the
positions of the front and the back.
Stop right there. You've just said "simultaneously".
Define simultaneous.
Androcles.
Precisely! Better yet: define simultaneous in a way that
will
give
preference to one observer over another.
So now you think trading length and time invariance for
speed
of
light invariance so that we can measure the length of a
moving
rod on the fly is a good idea?
Well, it's largely irrelevant whether I think the trade is a
good
idea
or
not. The issue is whether it's right. Einstein was indeed
faced
with a
terrible decision. Preserve absoluteness of simultaneity and
abandon
the
constancy of the speed of light in all inertial frames; or
preserve
the
constancy of the speed of light in all inertial frames and
abandon
absoluteness of inertial frames. Then, once simultaneity is
abandoned,
you
find that between inertial frames, space and time become
intermixed
--
which
then forces again a terrible decision. Preserve the
independence
of
space
and time and abandon any scheme that allows them to be
commensurate
(which
in turn would force abandoning the constancy of the speed of
light
in
all
inertial frames); or preserve the scheme that allows them to
be
commensurate
and abandon the independence of space and time. Einstein
chose
the
latter in
both cases in order to preserve the PoR and the constancy of
speed
in
all
inertial frames, and then he went on to work out the
experimental
implications of what this would mean, and then put it to
experimental
test.
It turned out to be right, despite the terrible decisions to
be
made.
1) The PoR doesn't need Einstein's help to preserve it.
2) Einstein does NOT preserve the PoR, he destroys it.
As you defined it below, yes. As correctly defined, no.
Einstein gave no definition. I have.
He said "Examples of this sort, together with the unsuccessful
attempts
to discover any motion of the earth relatively to the ``light
medium,''
suggest that the phenomena of electrodynamics as well as of
mechanics
possess no properties corresponding to the idea of absolute
rest.
They
suggest rather that, as has already been shown to the first
order
of
small quantities, the same laws of electrodynamics and optics
will
be
valid for all frames of reference for which the equations of
mechanics
hold good. We will raise this conjecture (the purport of which
will
hereafter be called the ``Principle of Relativity'') to the
status
of
a
postulate"
An example is NOT a definition, neither is a suggestion, and
neither
is
"been shown to the first order of small quantities."
Read it again.
Tell me if the following paraphrasing is incorrect.
=============
We will raise the following (hereafter called the "Principle of
Relativity")
to the status of a postulate:
That the same laws of electrodynamics and optics will be valid
for
all
frames of reference for which the equations of mechanics hold
good.
=============
By the way, the frames of reference for which the equations of
mechanics
hold good are inertial frames.
*****. You seem to imagine mechanical engineers do not
understand
accelereration.
You said Einstein gave no definition of the Principle of
Relativity.
He gave it above. Your claim is *****. You don't believe his
Principle of Relativity.
That does not change the fact that he defined it. You are wrong.
Admit it and remove your error.
Now you have to tell ME what my error is.
Mechanics includes acceleration
I'm sure you've heaard of F = dp/dt
That's an equation of mechanics.
It holds good for optics, too.
Yup, and it holds in all inertial frames.
The equations of electrodynamics and optics also hold in all
inertial
frames, but they do not hold under vector addition of velocities.
Your
PoR is *****.
Admit it and remove your error.
Optics certainly does hold true under the vector addition of
velocities.
Your assertion to the contrary merely betrays your prejudice.
http://www.androc1es.pwp.blueyonder.co.uk/actual_data.htm
Androcles.
If you fail to do that, then you MUST acknowledge that your
statement
that
the PoR is the vector addition of velocities, is an error and
remove
the
erroneous statement from further discussion.
It is not an error, Einstein doesn't own it, and you don't
understand
it.
The EXAMPLE he gives is that of the reciprocal action of a magnet
and a
coil
Moving the magnet past the coil has the same effect as moving the
coil
past the magnet. The law here is that an electric field is
induced
in
the coil.
This part is right.
Let the coil move at u and the magnet move at v. The induced
field
will
be proportional to u-v.
This part is wrong, or rather, only approximate, and Einstein makes
no
claim that it is true, nor have you proved it. Prove it.
E = - dB/dt.
I repeat. The PoR is the vector addition of velocities.
I now invoke the rule :
"When we get to a point of conflict, we'll identify what the
error is on either side, and the party in error MUST
acknowledge
the
error and remove the erroneous statement from further
discussion." --Paul Draper.
Show my error or admit your own.
I am not confused.
YOU are confused.
You may now state:
"Oh... Really?...Oh. I see I was
confused. OK, I get it now. Now what about...?"
3) Einstein does NOT preserve the independence of space and
time,
but
abandons them and combines then into "spacetime".
That's what I said.
No you didn't. You said:
"Then, once simultaneity is abandoned," and then showed that it
was
not
to be abandoned with the collaborators agreeing on both ends of
the
moving rod being simultaneously in the correct position for
measurement
of its length.
You are bullshitting.
No, I'm not and you're not listening. Simultaneity is a fine
invariant
for multiple observers at rest in the same reference frame.
Simultaneity is not at all invariant for multiple observers in
different reference frames. Nowhere in Einstein's paper does he say
that simultaneity is defined for only one observer at one location
in
one frame. If you think otherwise, prove it.
The PoR is the vector addition of velocities.
That is patently incorrect. The PoR (as applicable to SR) says
the
laws
of physics are invariant in all inertial frames.
Reference please!!!!
You are bullshitting.
See Einstein above, quoted by you above and paraphrased by me.
Please apologize for the accusation. I don't ***** in this
forum.
Yes you do.
You *are* a bullshitter. An example is not a definition.
Read my paraphrasing and tell me why it does not represent what
Einstein said.
Show me my error or abandon your cause.
The fact that the
Galilean transform leaves most (not all) laws of physics
invariant
does
not mean that the Galilean transform is the PoR. Nor does it
say
that
the vector addition of velocities is the PoR.
Let A be a vehicle moving with velocity v along a highway
with
respect
to the pavement.
Let B be a vehicle moving with velocity u along a highway
with
respect
to the same pavement.
The relative velocity of B with respect to A is given by
u-v,and
the
relative velocity of A with respect to B is given by v-u.
No, that isn't even right. Moreover, it is not a physical law or a
law
of mechanics. Show me what physical law demands that the relative
velocity is given by v-u or u-v. Perhaps you can derive it from a
real
physical law, like momentum conservation?
THAT is the PoR.
In the special case where v =u, A is not moving with respect
to
B
and
B
is not moving with respect to A.
Einstein does NOT preserve the vector addition of velocities,
he
claims
V = (v-u)/(1+ v(-u) /c^2 ) =/= v-u
We have on Einstein's own authority (and the real PoR )
"But the ray moves relatively to the initial point of k, when
measured
in the stationary system, with the velocity c-v, so that
x'/(c-v) =
t."
So the tip of the ray, relative to K moves at
V = ( u - (c-v) ) / (1 + u * (c-v) /c^2)
= ( u+v -c ) / (1+ (uc -vc)/c^2)
= ( u+v -c ) / (1+ c(u-v)/c^2)
= ( u+v -c ) / (1+ (u-v)/c)
= ( u+v -c ) / ([c+ (u-v)]/c)
= c( u+v -c ) / (c+ (u-v)) =/= c
and is therefore not c in the stationary system,
contradicting
the
given.
Now get down off your pulpit and start producing a
mathematical
proof
instead so speeches and rhetoric, because as you say, what
you
think
is
largely irrelevant!
(Actually, totally irrelevant.)
So, then, if you would kindly proceed to the marked sections
at
the
end
of the post we've been playing with, where some of the algebra
is,
we'll proceed.
Otherwise we'll be constantly yelling at each other in a
pantomime
of
"It turned out to be right" ,
"It turned out to be wrong",
"It turned out to be right" ,
"It turned out to be WRONG!
The way I look at it, some of the toughest "realignments" of
thinking
also
come with the blessing of simplicity gained.
It is irrelevant what you think, or the way you "look at
it".
The facts are that Einstein published a paper which YOU are
HERE
and
now
supposed to be validating.
Waxing poetic retracted.
Thank you. Don't try it again, please.
This from the fella that said the following:
====================================
Time for rhetoric, I think.
Ladies and Gentlemen of the Lurkers, I ask that you return a
verdict
of
Einstein guilty of fraud, as charged. The evidence is before
you.
Do
not
be swayed by sympathy for the accused or other emotional
consideration,
do your duty and judge according to the evidence. The future of
science
is with you and your children.
Sorry its not a very good speech, I thought I had more time to
prepare
one, I hadn't expected this trial to be over so soon or so easy.
Over to you. Make your closing argument.
=====================================
Well of course. It's all over now. You've shown that Einstein's
definition of simultaneity is nonsense with collaborators spread
anywhere in the universe.
You are not listening, and I'll repeat it here. Simultaneity is a
fine
invariant for multiple observers at rest in the same reference
frame.
Simultaneity is not at all invariant for multiple observers in
different reference frames. Nowhere in Einstein's paper does he say
that simultaneity is defined for only one observer at one location
in
one frame. If you think otherwise, prove it.
Time is the same everywhere, as Newton said. You haven't even come
close
to showing that it is different in a frame moving with respect to
the
rest of the universe, and your admission that it is so throughout
the
entire stationary frame precludes you from ever doing so.
Huh? How does it being the same throughout a whole inertial frame
make
it identical to that in a different inertial frame?
WHAT DO YOU THINK THE POINT OF SYNCHRONIZING THE CLOCKS EVERYWHERE
IN
A
GIVEN INERTIAL FRAME IS?
Go ahead and try if you want to. I'm ready to slice you up with
your
own
words.
The facts are that Einstein published a paper which YOU are here
and
now
supposed to be proving to be patently incorrect,
self-inconsistent
and
a
hoax. I don't need you waxing rhetorical.
Don't try it again, please.
As is so elegantly described in
the prologue to Taylor and Wheeler's book,
We are not concerned with Taylor and Wheeler's elegant
rhetoric.
Neither
of them can hold a candle to Shakespeare, Milton, Tennyson,
Schiller,
Mark Twain or any of a host of other great bards. We are not
in
judgment of literature here.
I object to you making speeches to the lurkers or giving
opinions
or
voicing the opinions of Taylor and Wheeler, which is hearsay.
Hearsay retracted.
Thank you. Don't try it again, please. I don't take kindly to
*****.
Neither do I. You said about the POR defined by Einstein.
Einstein gave no definition. I have.
Smells like cow-patty to me.
Don't try it again, please.
Make your argument. I've given a definition of the PoR as the
vector
addtion
of velocities, not some vague notion that the laws of physics are
the
same in all inertial frames.
I don't need to make an argument. I am quoting Einstein, who
defined
the PoR as being that "vague notion" and elevated it to a
POSTULATE.
That means "assumed to be true". He does not come to you and say,
"So,
Androcles, do you suppose this is really true?" He is ASSUMING it
is
true, taking it to be a postulate. You don't like it. You think the
PoR
should mean something else. However, that is NOT what Einstein is
assuming. You said Einstein did not define it. You are wrong, and
you
need to concede your error. You said Einstein assumed the PoR and
then
trashed it. Perhaps what you meant is that he did NOT assume YOUR
definition of the PoR and then he trashed YOUR definition of the
PoR.
NOWHERE in his paper does he say that the vector addition of
velocities
is assumed to be a postulate. You are wrong, and you need to
concede
your error.
I can wrap the wire coil tightly around the magnet, accelerate
both
by
throwing then across the rooom, and it *STILL won't produces a
current
in the wire. Inertial frames my arse. The velocity of the coil
will
be
u, the velocity of the magnet will be v, and no field when v = u.
Only a relative velocity between coil and magnet will produce an
effect.
This is true, but that relative velocity is not u-v or v-u, and you
have not demonstrated one physical law that says it is.
The PoR IS the vector addition of velocities
If one car follows another at the same velocity down the highway,
the
laws of mechanics says they will not collide and holds good.
If the following car has a greater velocity than the leading car,
the
laws of mechanics says there will be a colision and holds good.
This is true, but that relative velocity is not u-v or v-u, and you
have not demonstrated one physical law that says it is.
For optics, the same law applies. The trailing light beam will
pass
the
leading light beam and arrive first.
What law? u-v or v-u is not a law.
Speed of light invariant is ***** and denies the PoR.
So are your fucking rules, you are a hypocrite.
Androcles.
[snip, to point out that you continue to abrogate the agreement.
These
"fucking rules" are fucking rules you agreed to.]
ANSWER THE BELOW OR OUR CONVERSATION IS OVER.
You have not addressed the next steps in the algebra. For the
fourth
and
final time, address them, or you will have abrogated our
agreement
by
being
nonresponsive.
Androcles:
Agreed. All synchronization to be done at rest. Let us now
declare
the clocks and the rod to be synchronized, and you may
begin
your experiment.
OK, so now what we're going to do is we're going to take a
rod
that
was
stationary in frame K, and we'll walk it backwards a few
miles,
and
we're
going to speed it up to speed v toward the right in frame K.
It's
reached v
by the time it passes the origin of K. (It actually doesn't
matter
that
it
was ever stationary in the frame K, but Einstein says we'll
do
it
that
way,
so we'll go along). After the rod has been sped up, this rod
is
stationary
in the frame k. That is, the location of the emitter and
receiver
at
one end
of the rod are at a fixed location in k, and the location of
the
mirror
at
the other end of the rod is at another fixed location in k.
Now, the observer in K knows that this rod can't be used to
to
synchronize
any yardsticks in K, because it's not at rest. Moreover, the
emitter/mirror/receiver can't be used to synchronize the
clocks
in
K,
because the system is not at rest. That doesn't really
matter.
The
K
observer can recheck the synchronization of K's yardsticks
and
clocks
with
another rod and emitter/mirror/receiver stationary in K. As
you
say,
we'll
assume there is no drift, so the resynching would just
verify
that
clocks
are still synched and yardsticks are still the same length.
However, we *can* measure a length of the moving rod in K.
The
prescription
above will do it.
Moreover, the moving rod *can* be used as a synching system
in
k.
Agree so far?
OK, now there are three events:
The "0" event, where a flash of light is emitted from one
end,
the
"left end", of the rod that is moving in K and stationary in
k.
The "1" event, where the light bounces off the mirror at the
other
end, the "right end", of the same rod.
The "2" event, where the light returns to the receiver at the
left
end
of the same rod.
The observer in k labels the coordinates of these events as
(xi0,eta0,zeta0,tau0),
(xi1,eta1,zeta1,tau1),
(xi2,eta2,zeta2,tau2).
Now because the rod is stationary in k, we know that xi0 =
xi2.
We have also set it up so that
eta0=eta1=eta2=zeta0=zeta1=zeta2=0.
We know that the length of the rod as measured in k is (xi1 -
xi0),
because the rod is stationary in k and the rod has a fixed
length
in
k.
That is, the right-end of the rod is always at xi1 in this
frame,
which
means that the right end of the rod is at xi1 at tau0 as well
as
at
tau1. We've satisfied the procedure for measuring the length
of
a
stationary object.
Finally, because the rod is stationary in k, we can use it as
a
clock
synchronization rod in k. Since we previously synched the
clocks
in
k,
and since the clocks are ideal (don't drift), then this synch
check
will simply confirm the synchronization condition in this
frame.
Namely:
tau1 = (1/2)(tau0 + tau2).
Before we move on to how the observer in K sees these events,
are
we
in
agreement that this is a good picture of what Einstein
intends
in
his
set-up so far?
.