Science > Physics > #15 a working model of plasma physics turbulence and a good college take home problem Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007
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13 Jul 2007 01:22:08 AM |
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#15 a working model of plasma physics turbulence and a good college take home problem Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
Last time I discussed FBP was in April. Today I made some progress and
insights into another working model
for the turbulence in a tokamak.
Let me first blurt out the problem for College physics students to
work on. I have a large 200 liter wheelbarrow
and I put inside it 120 liters of water. Now the trouble is that I
want to take the wheelbarrow of water a distance
on uneven ground and so the water sloshes back and forth in a wave of
disturbance. Now to minimize this
disturbance I place on top of the water four 12 liter plastic pails
that ride on top of the disturbance of water
and thus hopefully dampening the waves so no water sloshes out of the
wheelbarrow. Now the question I
have for College physics students as a problem for them to work out is
what configuration of those 4 pails
and how much water in those four pails to obtain maximum dampening of
water waves so I lose the
least amount of water?
Now here is the statement of the Fusion Barrier Principle:
Fusion Barrier Principle. Fission energy is the highest form of
energy that is able to be controlled and surpass breakeven. A Tokamak
such as JET or ITER can only reach 2/3 breakeven because 1/3 of the
input energy is forever lost in controlling the device.
Now the proof of the Fusion Barrier Principle follows from this logic:
The four Maxwell Equations are divided into two static and two dynamic
equations. The Coulomb force is a
static Maxwell Equation and the Faraday law is a dynamic Maxwell
Equation. Now the Coulomb law
is mathematically equivalent to a sphere and the Faraday Law is
equivalent to a cylinder. Now when you fit
a sphere into a cylinder the maximum surface area and maximum volume
is 2/3, which in mathematics
is called "enclosing problems".
Now in physics, such as tokamak engineering fusion is attempted by
using the Coulomb force and to control
the plasma the tokamak uses Faraday's Law. So what happens is that
"controlled fusion" by any machine,
not just a tokamak, has to use either Faraday's Law or Ampere's Law to
control the fusion process and which
overcomes the Coulomb force. So essentially, all fusion machines
resolve into a case of enclosing a sphere
inside of a cylinder. Thus, all fusion machines that control fusion,
(the word control is essential), that
1/3 of all the input energy is irretrievably lost in the controlling
of the fusion events. Stated another way,
fusion machines can only reach a maximum of 2/3 breakeven.
In a fusion bomb, where the machine does not seek continuous control,
then breakeven is surpassed.
In the Sun and stars which are controlled machines, fusion reaches
only about 20% to 30% breakeven.
And alot of pupils of science have a tough time understanding that a
star fusion is so small compared
to the enormous inward energy of gravity as the controlling energy.
This means that the smallest fusion
machine that is controllable is the smallest fusion shining star. That
no machine ever built on Earth will
control and simultaneously reach breakeven. That all machines built on
Earth can only reach 2/3
breakeven and no more.
So what the working model above is an analogy to that of the FBP where
the water in the wheelbarrow
is the protons in a tokamak and the buckets or pails are controls over
the plasma protons. Think of the
turbulence in a tokamak.
So at what configuration of those buckets leads to the maximum
dampening of the water so that little
water is lost? Do we have the 2/3 and 1/3 ratio of buckets of water?
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.
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| User: "Dave L. Renfro" |
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| Title: Re: #15 a working model of plasma physics turbulence and a good college take home problem Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
13 Jul 2007 01:40:30 PM |
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Archimedes Plutonium wrote (in part):
Now to minimize this disturbance I place on top of the
water four 12 liter plastic pails that ride on top of
the disturbance of water and thus hopefully dampening
the waves so no water sloshes out of the wheelbarrow.
You probably want to use another word besides "minimum",
since "minimum" has a technical meaning in the subject
area your comments are in (physics) that is different
from the less precise everyday common-language use that
you're using "minimum" for. It's doubtful that a calculus
of variations minimization for the situation will come
out to "placing a top on".
Dave L. Renfro
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| User: "a_plutonium" |
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| Title: Re: #15 a working model of plasma physics turbulence and a good college take home problem Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
14 Jul 2007 01:29:51 AM |
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Dave L. Renfro wrote:
Archimedes Plutonium wrote (in part):
Now to minimize this disturbance I place on top of the
water four 12 liter plastic pails that ride on top of
the disturbance of water and thus hopefully dampening
the waves so no water sloshes out of the wheelbarrow.
You probably want to use another word besides "minimum",
since "minimum" has a technical meaning in the subject
area your comments are in (physics) that is different
from the less precise everyday common-language use that
you're using "minimum" for. It's doubtful that a calculus
of variations minimization for the situation will come
out to "placing a top on".
If you have repeatable amounts of turbulence (maybe water turbulence
is nonrepeatable-- I do not know), then calculus should
give some answers as to water in buckets and bucket configuration. By
repeatable I mean at a bump in the route going at the same speed
yields the same amount of turbulence in wheelbarrow. So how much
water in the buckets and how are the buckets configured; so that the
same speed through the same route yields the most amount of water
at the endpoint?
Through experiment I have found that buckets too much floating on
top of the water loses too much water and that buckets completely
submerged in the wheelbarrow likewise slosh too much water over
the sides. Somewhere in between complete submergence and
complete floating on top is the best configuration.
There are some good calculus problems in that wheelbarrow
analogy-model. And I should not make too much of a analogy
or model for it is just a heuristic helper device.
And when in a quest mode seeking understanding, we usually do
not care too much about precision terminology, such as what
a mathematician or lawyer would do to polish his final product.
In the quest mode we usually talk in layman terms. Polishing
comes when full understanding has arrived, and the FBP
is far from full understanding.
AP
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| User: "a_plutonium" |
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| Title: #16 tokamak fusion plasma guiding model problem Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
13 Jul 2007 12:35:49 PM |
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a_plutonium wrote:
Last time I discussed FBP was in April. Today I made some progress and
insights into another working model
for the turbulence in a tokamak.
Let me first blurt out the problem for College physics students to
work on. I have a large 200 liter wheelbarrow
and I put inside it 120 liters of water. Now the trouble is that I
want to take the wheelbarrow of water a distance
on uneven ground and so the water sloshes back and forth in a wave of
disturbance. Now to minimize this
disturbance I place on top of the water four 12 liter plastic pails
that ride on top of the disturbance of water
and thus hopefully dampening the waves so no water sloshes out of the
wheelbarrow. Now the question I
have for College physics students as a problem for them to work out is
what configuration of those 4 pails
and how much water in those four pails to obtain maximum dampening of
water waves so I lose the
least amount of water?
Now here is the statement of the Fusion Barrier Principle:
Fusion Barrier Principle. Fission energy is the highest form of
energy that is able to be controlled and surpass breakeven. A Tokamak
such as JET or ITER can only reach 2/3 breakeven because 1/3 of the
input energy is forever lost in controlling the device.
Now the proof of the Fusion Barrier Principle follows from this logic:
The four Maxwell Equations are divided into two static and two dynamic
equations. The Coulomb force is a
static Maxwell Equation and the Faraday law is a dynamic Maxwell
Equation. Now the Coulomb law
is mathematically equivalent to a sphere and the Faraday Law is
equivalent to a cylinder. Now when you fit
a sphere into a cylinder the maximum surface area and maximum volume
is 2/3, which in mathematics
is called "enclosing problems".
Now in physics, such as tokamak engineering fusion is attempted by
using the Coulomb force and to control
the plasma the tokamak uses Faraday's Law. So what happens is that
"controlled fusion" by any machine,
not just a tokamak, has to use either Faraday's Law or Ampere's Law to
control the fusion process and which
overcomes the Coulomb force. So essentially, all fusion machines
resolve into a case of enclosing a sphere
inside of a cylinder. Thus, all fusion machines that control fusion,
(the word control is essential), that
1/3 of all the input energy is irretrievably lost in the controlling
of the fusion events. Stated another way,
fusion machines can only reach a maximum of 2/3 breakeven.
In a fusion bomb, where the machine does not seek continuous control,
then breakeven is surpassed.
In the Sun and stars which are controlled machines, fusion reaches
only about 20% to 30% breakeven.
And alot of pupils of science have a tough time understanding that a
star fusion is so small compared
to the enormous inward energy of gravity as the controlling energy.
This means that the smallest fusion
machine that is controllable is the smallest fusion shining star. That
no machine ever built on Earth will
control and simultaneously reach breakeven. That all machines built on
Earth can only reach 2/3
breakeven and no more.
So what the working model above is an analogy to that of the FBP where
the water in the wheelbarrow
is the protons in a tokamak and the buckets or pails are controls over
the plasma protons. Think of the
turbulence in a tokamak.
So at what configuration of those buckets leads to the maximum
dampening of the water so that little
water is lost? Do we have the 2/3 and 1/3 ratio of buckets of water?
So let me clarify the "generalized model". So as the body of water
inside the wheelbarrow
is perturbed by motion sets up a turbulence wave in the body of water.
If the disturbance is
large then the wave is large and some of the water is sloshed over the
sides and lost. What
the four buckets are there to place in a configuration so as to dampen
the wave in the water.
If the 4 buckets are resting on top of the water then the water wave
is little dampened.
But when the 4 buckets are somewhat submerged by filling them partly
with water, then
these buckets act as dampening of the water wave, partly because some
of the water
is now confined inside the walls of the buckets and partly because the
submerged buckets
dampen the standing wave of the wheelbarrow water.
The above is a model of turbulence in a tokamak and that in order to
achieve 100% breakeven
or to surpaass 100% is impossible because much of the input energy
goes to keeping
control. In the above model-analogy to reach 100% or more breakeven
would be to have a
lid built for the wheelbarrow where none of the water escapes.
Likewise in fusion to have
no perturbance of protons is impossible.
The answer to the above wheelbarrow model is that 1/3 of the water is
confined inside the
buckets and 2/3 is the wheelbarrow water. In that configuration the
perturbance of water
waves is kept to a minimum. So in a sense, 1/3 of the water is used to
dampen to a
minimum the remaining 2/3 of the water. So we again have the Coulomb
law
being controlled by the Faraday law.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.
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| User: "a_plutonium" |
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| Title: #17 Perturbation theory on water motion and a modelling of a tokamak Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
15 Jul 2007 01:41:01 AM |
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a_plutonium wrote:
snipped save this paragraph
The answer to the above wheelbarrow model is that 1/3 of the water is
confined inside the
buckets and 2/3 is the wheelbarrow water. In that configuration the
perturbance of water
waves is kept to a minimum. So in a sense, 1/3 of the water is used to
dampen to a
minimum the remaining 2/3 of the water. So we again have the Coulomb
law
being controlled by the Faraday law.
I need to stay on this model for longer because, really what is
chemisty, but
that of the science of electrons of atoms. And the electrons of atoms
follows
the Maxwell theory. So in tokamak plasma physics we can model the
plasma
with that of water perturbance in a wheelbarrow.
The tokamak is the overcoming of the proton Coulomb force of repulsion
to fuse and the
means of control is the Faraday law. So it is a battle between Faraday
law
and Coulomb law. But water a polar molecule of their van der Waals
force are
also resolved into Coulomb force and Faradays law.
So the question is in a tokamak like JET or ITER of how much of the
energy of
a plasma is lost in "controlling the rest of the plasma". Is it 1/3 of
the total energy
of the plasma is lost in controlling the other 2/3 of the plasma
energy?
In the wheelbarrow water perturbation, idealized, if we had a total of
3 water
molecules in specific motion, does it take 1 of those water molecules
to control
the motion of the other 2 molecules? So that the buckets placed inside
the wheelbarrow
to dampen the perturbation, seems to require 1/3 of the water to
control the other
2/3 of the water.
So this is becoming a very good analogy model for tokamaks.
And basically, what it is ending up as saying or final wisdom is that
the Faraday Law with respect
to the Coulomb law contains more energy in a ratio of 2/3 and 1/3
more. Pictorially, the Faraday
law is a cylinder having a Coulomb law nested inside and where there
is excess volume and surface
area for the cylinder by 1/3 more than the sphere inside. And this is
rather an expected result for
we all know that Faraday's law is a dynamic law yet Coulomb is a
static law. And a dynamic law
requires more energy.
So the entire Fusion Barrier Principle is the acknowledgment of the
fact that Faraday's law is packed
with more energy than is the Coulomb law. And it is the Faraday Law
which is in the end going to
control a tokamak plasma. So if Faraday's law requires an additional
1/3 energy above and beyond
the energy packed in Coulomb law, means that fusion breakeven can at
best be 2/3 breakeven.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.
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| User: "a_plutonium" |
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| Title: #18 Feynman on Perturbation theory Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
15 Jul 2007 02:07:30 PM |
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a_plutonium wrote:
I need to stay on this model for longer because, really what is
chemisty, but
that of the science of electrons of atoms. And the electrons of atoms
follows
the Maxwell theory. So in tokamak plasma physics we can model the
plasma
with that of water perturbance in a wheelbarrow.
The tokamak is the overcoming of the proton Coulomb force of repulsion
to fuse and the
means of control is the Faraday law. So it is a battle between Faraday
law
and Coulomb law. But water a polar molecule of their van der Waals
force are
also resolved into Coulomb force and Faradays law.
So the question is in a tokamak like JET or ITER of how much of the
energy of
a plasma is lost in "controlling the rest of the plasma". Is it 1/3 of
the total energy
of the plasma is lost in controlling the other 2/3 of the plasma
energy?
In the wheelbarrow water perturbation, idealized, if we had a total of
3 water
molecules in specific motion, does it take 1 of those water molecules
to control
the motion of the other 2 molecules? So that the buckets placed inside
the wheelbarrow
to dampen the perturbation, seems to require 1/3 of the water to
control the other
2/3 of the water.
So this is becoming a very good analogy model for tokamaks.
And basically, what it is ending up as saying or final wisdom is that
the Faraday Law with respect
to the Coulomb law contains more energy in a ratio of 2/3 and 1/3
more. Pictorially, the Faraday
law is a cylinder having a Coulomb law nested inside and where there
is excess volume and surface
area for the cylinder by 1/3 more than the sphere inside. And this is
rather an expected result for
we all know that Faraday's law is a dynamic law yet Coulomb is a
static law. And a dynamic law
requires more energy.
So the entire Fusion Barrier Principle is the acknowledgment of the
fact that Faraday's law is packed
with more energy than is the Coulomb law. And it is the Faraday Law
which is in the end going to
control a tokamak plasma. So if Faraday's law requires an additional
1/3 energy above and beyond
the energy packed in Coulomb law, means that fusion breakeven can at
best be 2/3 breakeven.
Let me start with 9 molecules of water in the Wheelbarrow Model and 9
protons in the tokamak plasma.
So what I need to find out is whether the absolute-minimum to control
the
water dynamics is 3 molecules out of every 9 of water in order to
control the
remaining 6. Likewise, in a JET plasma or the upcoming ITER plasma,
that 3 protons out of every 9 protons are necessary to control the
remaining
6 protons.
So I guess I have come to the deep question and deep understanding.
That
the Coulomb Law is equivalent to a sphere and the Faraday Law is
equivalent to a cylinder. And that you can nest the sphere inside the
cylinder, but you cannot nest the cylinder inside the sphere. That the
cylinder, or Faraday's Law is always bigger by a factor of 1/3. The
Faraday's or Ampere's Law requires more energy than the Coulomb Law
and is bigger by a factor of 1/3 energy. And because to Control a
tokamak inevitably uses either the Faraday or Ampere Law then
the tokamak has an upper limit of 2/3 breakeven.
No matter how you engineer a fusion machine, whether tokamak
or inertial confinement, or muon catalyzed, the Sun and shining
stars, or any other clever fusion
machine, all of them reduce to that
of the Maxwell Equations and all of them reduce to a interplay of
the Coulomb law versus Faraday/Ampere law. All reduce to the
interplay
of Coulomb versus Faraday/Ampere of the Maxwell Equations.
No machine can fit Faraday's Law or Ampere's Law inside that of
Coulomb Law. All Machines of Nature fit Coulomb's law inside that of
either Faraday or Ampere law. Thus all-fusion-machines of Nature
require 1/3
more energy input then they ever could give as output, and thus all
fusion
machines have an upper limit of 2/3 breakeven.
Maybe Feynman discusses Perturbation theory somewhere in his "energy
topics"
such as "energy flux" or "elastic energy" or "Energy Theorem" page
vol.I, 50-7 where
total energy is sum of Fourier components.
Perhaps it is covered in 50-6 of "Nonlinear Responses" in that water
in wheelbarrow
or Faraday law to control Coulomb repulsion is nonlinear.
P.S. Why would the Faraday law and Ampere law pack 1/3 more energy
than ever
could the Coulomb law over a energy density? I guess that is the next
deep question.
I suspect the answer is that when you have a static law compared to a
dynamic law
that you have to have more energy density in the dynamic law than the
static law.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.
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| User: "a_plutonium" |
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| Title: #19 Control-Theory for Physics and Perturbation is not a theory but a calculation-aid Re: Monograph-Book: FUSION BARRIER PRINCIPLE, Archimedes Plutonium, Internet published 1997-2007 |
16 Jul 2007 01:10:08 AM |
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Looking into Perturbation theory, I thought I might spot something
that would help answer some questions
of water dynamics in a wheelbarrow and answer some questions as plasma
instability and disturbance of
plasma flow. Perturbation theory can help in questions of water and
plasma flow but not what I am
concerned with for the Fusion Barrier Principle.
And so many things in the sciences are given a title as .... theory
when they are not a theory. Perturbation
is not a theory of physics but a mere computational aid of device to
make the mathematics easier. It is a
sincere shame that so many things in the sciences, even physics,
becomes too loose and sloppy as to
calling something a theory when it never was a theory. Just because
some method makes the math
easier is not reason to then call it a Perturbation theory. Perhaps a
better term is Perturbation aid or helper
or shortcut. Perhaps the proper term is "method" as in Perturbation
Methods.
However, I have found a new theory of physics and am calling it the
Control-Theory. Machines exist
and the basic characteristic of a machine is control such that the
machine repeats in some actions. We
define a "machine" as a device that is controlled and has a repetitive
action. A fusion bomb is not a
machine for it is not a repetitive action, nor is it controlled upon
detonation. An internal combustion
engine or an electric motor are devices that are controlled and have a
repetitive action.
The Control Theory of Physics says that the Maxwell Equations of its
Faraday law and Ampere law are laws
that control the Coulomb law in a fusion machine like JET or ITER.
This is a brand new idea in physics, that some of the Maxwell
Equations control another Maxwell Equation.
That the Faraday Law controls the Coulomb Law. Never before in physics
have we seen that some
law or force controls a different law or force.
Living organisms are machines. So we can reduce a living organism to a
net sum of control forces of
Faraday or Ampere law. And in many machines, the Coulomb law is a
control-force.
So in the discovery of the Fusion Barrier Principle back in 1997 has
now lead me to the discovery
of a whole new subject field of physics-- Control Theory.
P.S. Why would the Faraday law and Ampere law pack 1/3 more energy
than ever
could the Coulomb law over a energy density? I guess that is the next
deep question.
I suspect the answer is that when you have a static law compared to a
dynamic law
that you have to have more energy density in the dynamic law than the
static law.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
.
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