Re: Two apparently different forms of entropy

2014-11-20 Thread Richard Ruquist
On Wed, Nov 19, 2014 at 6:04 PM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

 Ah! You don't think that the collapse in one universe, creates one, in
 which the information is preserved? Not uncovers one, splits of a new
 clone, like an amoeba does. Perhaps there are universes that split off when
 a decision gets made where, where it is analogous to a data file. If this
 is so, then part of the multiverse is a relational database. Call it
 Oracle-1 Delta Googleplex. I have dibbs on the name. Patent Pending!

 Collapse also doesn't conserve information. It generates new information -
 the specific way in which the collapse occurred, which adds some random
 bits to a value one could be constructing, and in any case adds that new
 state to the universe. Only the MWI preserves information afaics, by having
 the wave not collapse.





Bruno proved that information is not conserved. Collapse conserves energy.


 -Original Message-
 From: LizR lizj...@gmail.com
 To: everything-list everything-list@googlegroups.com
 Sent: Wed, Nov 19, 2014 5:39 pm
 Subject: Re: Two apparently different forms of entropy

  Collapse also doesn't conserve information. It generates new information
 - the specific way in which the collapse occurred, which adds some random
 bits to a value one could be constructing, and in any case adds that new
 state to the universe. Only the MWI preserves information afaics, by having
 the wave not collapse.

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Re: Two apparently different forms of entropy

2014-11-20 Thread spudboy100 via Everything List

This, I comprehend, I was just musing that why just keep the same concept of 
universes? Why not go tegmark, or trans tegmark, with this. Why not compare the 
super cosmos to be a data storing thing like a database, rather than an acorn, 
hold merely biological data? Since reality seems to be math(s) based, why not 
computational? Why not have a giant SAN, a storage area network, rather then 
just a random access memory with lower mem? Its just a conjecture from, and 
idiot, me, but since people like Seth Lloyd have conjectured that the universe 
does processing, I am dropping the other shoe on this. 

If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)

 
 
 
-Original Message-
From: LizR lizj...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Wed, Nov 19, 2014 9:59 pm
Subject: Re: Two apparently different forms of entropy



On 20 November 2014 12:04, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:


Ah! You don't think that the collapse in one universe, creates one, in which 
the information is preserved? Not uncovers one, splits of a new clone, like an 
amoeba does. Perhaps there are universes that split off when a decision gets 
made where, where it is analogous to a data file. If this is so, then part of 
the multiverse is a relational database. Call it Oracle-1 Delta Googleplex. I 
have dibbs on the name. Patent Pending!



If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)




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Re: Two apparently different forms of entropy

2014-11-20 Thread spudboy100 via Everything List

I think that collapse conserves information, maybe, but it doesn't preserve 
information. In other words the universe next door doesn't seem to logical 
possess a read/write head over a disk. So the clone that gets wiped out doesn't 
preserve the information, post mortem, save in the universe where the clone 
remains unharmed. Its essentially a different person. Nothing, from the 
original cosmos is preserved, no storage. 
 
 
-Original Message-
From: Richard Ruquist yann...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Thu, Nov 20, 2014 6:53 am
Subject: Re: Two apparently different forms of entropy





On Wed, Nov 19, 2014 at 6:04 PM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

Ah! You don't think that the collapse in one universe, creates one, in which 
the information is preserved? Not uncovers one, splits of a new clone, like an 
amoeba does. Perhaps there are universes that split off when a decision gets 
made where, where it is analogous to a data file. If this is so, then part of 
the multiverse is a relational database. Call it Oracle-1 Delta Googleplex. I 
have dibbs on the name. Patent Pending!

Collapse also doesn't conserve information. It generates new information - the 
specific way in which the collapse occurred, which adds some random bits to a 
value one could be constructing, and in any case adds that new state to the 
universe. Only the MWI preserves information afaics, by having the wave not 
collapse.

 
 



Bruno proved that information is not conserved. Collapse conserves energy. 

 

-Original Message-
From: LizR lizj...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Wed, Nov 19, 2014 5:39 pm
Subject: Re: Two apparently different forms of entropy


Collapse also doesn't conserve information. It generates new information - the 
specific way in which the collapse occurred, which adds some random bits to a 
value one could be constructing, and in any case adds that new state to the 
universe. Only the MWI preserves information afaics, by having the wave not 
collapse.



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Re: Two apparently different forms of entropy

2014-11-20 Thread Richard Ruquist
It seems that information is conserved in an MWI Math Space
where every possibility is known ahead of time;
whereas information is created, but energy conserved
in in a wave-collapse physical space.

On Thu, Nov 20, 2014 at 7:59 AM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

 This, I comprehend, I was just musing that why just keep the same concept
 of universes? Why not go tegmark, or trans tegmark, with this. Why not
 compare the super cosmos to be a data storing thing like a database, rather
 than an acorn, hold merely biological data? Since reality seems to be
 math(s) based, why not computational? Why not have a giant SAN, a storage
 area network, rather then just a random access memory with lower mem? Its
 just a conjecture from, and idiot, me, but since people like Seth Lloyd
 have conjectured that the universe does processing, I am dropping the other
 shoe on this.

 If only one universe results, information has been created - genuinely
 random bit(s) of data that didn't exist before, such as which way a photon
 went or whether a cat is alive or dead. It's only in the multiverse view
 that the information content is preserved, because you have all possible
 outcomes and overall they cancel out (like in Theory of nothing but on a
 smaller scale.)




 -Original Message-
 From: LizR lizj...@gmail.com
 To: everything-list everything-list@googlegroups.com
 Sent: Wed, Nov 19, 2014 9:59 pm
 Subject: Re: Two apparently different forms of entropy

   On 20 November 2014 12:04, spudboy100 via Everything List 
 everything-list@googlegroups.com wrote:

 Ah! You don't think that the collapse in one universe, creates one, in
 which the information is preserved? Not uncovers one, splits of a new
 clone, like an amoeba does. Perhaps there are universes that split off when
 a decision gets made where, where it is analogous to a data file. If this
 is so, then part of the multiverse is a relational database. Call it
 Oracle-1 Delta Googleplex. I have dibbs on the name. Patent Pending!

  If only one universe results, information has been created - genuinely
 random bit(s) of data that didn't exist before, such as which way a photon
 went or whether a cat is alive or dead. It's only in the multiverse view
 that the information content is preserved, because you have all possible
 outcomes and overall they cancel out (like in Theory of nothing but on a
 smaller scale.)

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Re: Two apparently different forms of entropy

2014-11-20 Thread spudboy100 via Everything List

Ok, understood now. Math Space, a.k.a. Platonic Space?). You wouldn't care to 
speculate on a data recovery for 'Math Space'? Some sort of magical read-write 
head? Sigh! I thought not. Thanks for the dear up.
 
Mitch

It seems that information is conserved in an MWI Math Space
where every possibility is known ahead of time;

whereas information is created, but energy conserved 
in in a wave-collapse physical space. 


 
 
 
-Original Message-
From: Richard Ruquist yann...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Thu, Nov 20, 2014 8:08 am
Subject: Re: Two apparently different forms of entropy


It seems that information is conserved in an MWI Math Space
where every possibility is known ahead of time;

whereas information is created, but energy conserved 
in in a wave-collapse physical space. 



On Thu, Nov 20, 2014 at 7:59 AM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

This, I comprehend, I was just musing that why just keep the same concept of 
universes? Why not go tegmark, or trans tegmark, with this. Why not compare the 
super cosmos to be a data storing thing like a database, rather than an acorn, 
hold merely biological data? Since reality seems to be math(s) based, why not 
computational? Why not have a giant SAN, a storage area network, rather then 
just a random access memory with lower mem? Its just a conjecture from, and 
idiot, me, but since people like Seth Lloyd have conjectured that the universe 
does processing, I am dropping the other shoe on this. 

If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)

 
 
 
-Original Message-
From: LizR lizj...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Wed, Nov 19, 2014 9:59 pm
Subject: Re: Two apparently different forms of entropy



On 20 November 2014 12:04, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:


Ah! You don't think that the collapse in one universe, creates one, in which 
the information is preserved? Not uncovers one, splits of a new clone, like an 
amoeba does. Perhaps there are universes that split off when a decision gets 
made where, where it is analogous to a data file. If this is so, then part of 
the multiverse is a relational database. Call it Oracle-1 Delta Googleplex. I 
have dibbs on the name. Patent Pending!



If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)




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Re: Two apparently different forms of entropy

2014-11-20 Thread Richard Ruquist
Objective Math-Space data recovery is nearly zero dependent on the
classification of channels and revelation.

Subjective Math-Space data recovery is possible, maybe even probable, but
is soon forgotten.

Richard

On Thu, Nov 20, 2014 at 10:18 AM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

 Ok, understood now. Math Space, a.k.a. Platonic Space?). You wouldn't care
 to speculate on a data recovery for 'Math Space'? Some sort of magical
 read-write head? Sigh! I thought not. Thanks for the dear up.

 Mitch

 It seems that information is conserved in an MWI Math Space
 where every possibility is known ahead of time;
 whereas information is created, but energy conserved
 in in a wave-collapse physical space.




 -Original Message-
 From: Richard Ruquist yann...@gmail.com
 To: everything-list everything-list@googlegroups.com
 Sent: Thu, Nov 20, 2014 8:08 am
 Subject: Re: Two apparently different forms of entropy

  It seems that information is conserved in an MWI Math Space
 where every possibility is known ahead of time;
 whereas information is created, but energy conserved
 in in a wave-collapse physical space.

 On Thu, Nov 20, 2014 at 7:59 AM, spudboy100 via Everything List 
 everything-list@googlegroups.com wrote:

 This, I comprehend, I was just musing that why just keep the same concept
 of universes? Why not go tegmark, or trans tegmark, with this. Why not
 compare the super cosmos to be a data storing thing like a database, rather
 than an acorn, hold merely biological data? Since reality seems to be
 math(s) based, why not computational? Why not have a giant SAN, a storage
 area network, rather then just a random access memory with lower mem? Its
 just a conjecture from, and idiot, me, but since people like Seth Lloyd
 have conjectured that the universe does processing, I am dropping the other
 shoe on this.

 If only one universe results, information has been created - genuinely
 random bit(s) of data that didn't exist before, such as which way a photon
 went or whether a cat is alive or dead. It's only in the multiverse view
 that the information content is preserved, because you have all possible
 outcomes and overall they cancel out (like in Theory of nothing but on a
 smaller scale.)




 -Original Message-
 From: LizR lizj...@gmail.com
 To: everything-list everything-list@googlegroups.com
 Sent: Wed, Nov 19, 2014 9:59 pm
 Subject: Re: Two apparently different forms of entropy

   On 20 November 2014 12:04, spudboy100 via Everything List 
 everything-list@googlegroups.com wrote:

 Ah! You don't think that the collapse in one universe, creates one, in
 which the information is preserved? Not uncovers one, splits of a new
 clone, like an amoeba does. Perhaps there are universes that split off when
 a decision gets made where, where it is analogous to a data file. If this
 is so, then part of the multiverse is a relational database. Call it
 Oracle-1 Delta Googleplex. I have dibbs on the name. Patent Pending!

  If only one universe results, information has been created - genuinely
 random bit(s) of data that didn't exist before, such as which way a photon
 went or whether a cat is alive or dead. It's only in the multiverse view
 that the information content is preserved, because you have all possible
 outcomes and overall they cancel out (like in Theory of nothing but on a
 smaller scale.)

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Re: Reversing time = local reversal of thermodynamic arrows?

2014-11-20 Thread Bruno Marchal


On 19 Nov 2014, at 19:43, Richard Ruquist wrote:

In MWI it is rather difficult to reverse time and unsplit the  
universe.


The mutiverse is only the quantum configuration space taken  
seriously. The SWE describe all quantum evolution as a rotation (a  
unitary transformation) of a state vector  in the Hilbert space.  I  
can hardly imagine something more reversible.




It's not Hermitian


It is unitary.

Bruno





Richard

On Wed, Nov 19, 2014 at 1:40 PM, John Clark johnkcl...@gmail.com  
wrote:
On Tue, Nov 18, 2014 at 12:06 AM, Russell Standish li...@hpcoders.com.au 
 wrote:


 I'd say that by about 1850 when people started to have a  
understanding of what Entropy was physicists had all they needed to  
have known that the universe must have started out in a very very  
low entropy state, that is to say they could have predicted the Big  
Bang in the early to mid 19th century; and they wouldn't have needed  
to go near a telescope to do so. But unfortunately they didn't, it's  
one of the great failures of nerve or imagination in the history of  
science.


 Boltzmann indeed predicted a low entropy state sometime in the past.

Yes but  Boltzmann thought that you could ignore boundary conditions  
and the second law of thermodynamics alone was enough to logically  
deduce that in the distant past the universe must have been in a  
very low entropy state, but in 1876 Loschmidt pointed out that  
Boltzman was wrong about that, he said you can't deduce a  
irreversible process, like the increase of entropy, from classical  
dynamics alone because if you just reverse the velocity of the  
particles in high entropy state B it will evolve back into the low  
entropy state A that produced it.  And knowing that there are VASTLY  
more high entropy states than low entropy states and asked what  
state produced the stat we're in now you'd have to answer that it  
was almost certainly one of those enormously numerous high entropy  
states UNLESS you made a further assumption, the past hypothesis,  
the idea that the universe must have started out in a very very low  
entropy state.


  John K Clark





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Re: Two apparently different forms of entropy

2014-11-20 Thread Bruno Marchal


On 20 Nov 2014, at 01:03, Russell Standish wrote:


On Wed, Nov 19, 2014 at 11:06:47AM -0500, Richard Ruquist wrote:


The collapse hypothesis is correct if we need to conserve the total  
energy

and information in the universe.
Richard



Wavefunction collapse creates information, it does not conserve it.

Conserving information is equivalent to demanding unitarity of
evolution. Wave function collapse is non-unitary.


Exactly. It is the advantage of the many-worlds. The evolution of  
the universe/multiverse is a unitary transformation in the  
configuration space (the Hilbert space). It is deterministic,  
reversible, and let the probabilities and the information invariant.  
It is also local. And it explains why the memories of the observers  
contains appearance of indeterminacy (in a way coherent with  
computationalism that Everett assumed), non-locality, irreversibility,  
etc.


Like you say: the collapse, if it was a physical phenomenon, would  
just contradict QM. The collapse is really an axiom saying that QM is  
false when observers do measurement. But this has never been  
successfully clarified, imo.


Bruno






--


Prof Russell Standish  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics  hpco...@hpcoders.com.au
University of New South Wales  http://www.hpcoders.com.au

Latest project: The Amoeba's Secret
(http://www.hpcoders.com.au/AmoebasSecret.html)


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Re: Two apparently different forms of entropy

2014-11-20 Thread spudboy100 via Everything List
Now I am scratching my tiny pin head. So, from a human, or intelligent life 
pov, we can summarize that Math Space is useless. A tartuffery, good clean fun, 
that please the mathematical mind, but bakes no bread, nor, builds no bridges? 
Interesting, and I thank you again for the information that you provided.  


Mitch

Objective Math-Space data recovery is nearly zero dependent on the 
classification of channels and revelation.


Subjective Math-Space data recovery is possible, maybe even probable, but is 
soon forgotten.


Richard





-Original Message-
From: Richard Ruquist yann...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Thu, Nov 20, 2014 10:25 am
Subject: Re: Two apparently different forms of entropy


Objective Math-Space data recovery is nearly zero dependent on the 
classification of channels and revelation.


Subjective Math-Space data recovery is possible, maybe even probable, but is 
soon forgotten.


Richard



On Thu, Nov 20, 2014 at 10:18 AM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

Ok, understood now. Math Space, a.k.a. Platonic Space?). You wouldn't care to 
speculate on a data recovery for 'Math Space'? Some sort of magical read-write 
head? Sigh! I thought not. Thanks for the dear up.
 
Mitch

It seems that information is conserved in an MWI Math Space
where every possibility is known ahead of time;

whereas information is created, but energy conserved 
in in a wave-collapse physical space. 


 
 
 
-Original Message-
From: Richard Ruquist yann...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Thu, Nov 20, 2014 8:08 am
Subject: Re: Two apparently different forms of entropy


It seems that information is conserved in an MWI Math Space
where every possibility is known ahead of time;

whereas information is created, but energy conserved 
in in a wave-collapse physical space. 



On Thu, Nov 20, 2014 at 7:59 AM, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:

This, I comprehend, I was just musing that why just keep the same concept of 
universes? Why not go tegmark, or trans tegmark, with this. Why not compare the 
super cosmos to be a data storing thing like a database, rather than an acorn, 
hold merely biological data? Since reality seems to be math(s) based, why not 
computational? Why not have a giant SAN, a storage area network, rather then 
just a random access memory with lower mem? Its just a conjecture from, and 
idiot, me, but since people like Seth Lloyd have conjectured that the universe 
does processing, I am dropping the other shoe on this. 

If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)

 
 
 
-Original Message-
From: LizR lizj...@gmail.com
To: everything-list everything-list@googlegroups.com
Sent: Wed, Nov 19, 2014 9:59 pm
Subject: Re: Two apparently different forms of entropy



On 20 November 2014 12:04, spudboy100 via Everything List 
everything-list@googlegroups.com wrote:


Ah! You don't think that the collapse in one universe, creates one, in which 
the information is preserved? Not uncovers one, splits of a new clone, like an 
amoeba does. Perhaps there are universes that split off when a decision gets 
made where, where it is analogous to a data file. If this is so, then part of 
the multiverse is a relational database. Call it Oracle-1 Delta Googleplex. I 
have dibbs on the name. Patent Pending!



If only one universe results, information has been created - genuinely random 
bit(s) of data that didn't exist before, such as which way a photon went or 
whether a cat is alive or dead. It's only in the multiverse view that the 
information content is preserved, because you have all possible outcomes and 
overall they cancel out (like in Theory of nothing but on a smaller scale.)




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread Bruno Marchal


On 20 Nov 2014, at 02:15, George wrote:


Hi everyone

This post is relevant to a few threads in this list
“Reversing time = local reversal of thermodynamic arrows?”  and “Two  
apparently different forms of entropy”.


I am sorry that I haven’t posted to this list for a while. I have  
been very busy with my work.
In my latest research I have found that Quantum Mechanics, in  
particular the Pauli Exclusion Principle, can be used to go around  
limitations of classical physics and break the Second Law.


Papers describing the research are publicly available at

http://www.mdpi.com/1099-4300/15/11/4700

and

https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1 
   (Currently under review)



Nice to hear from you George. It has been a long time indeed. I will  
take a look, but up to now, my computer refuses to open the document ...


To be frank, I doubt very much that QM could break the Second Law. If  
you could sum up the reason here, it would be nice. Take your time (I  
am also rather busy those days).



Best,

Bruno





These papers describe experimentally observed thermoelectric  
adiabatic effects (the existence of a voltage without any heat flow,  
and the existence of a temperature differential without any input  
current.)


Here is some background: The story begins with a thermodynamicist of  
the nineteenth century, Josef Loschmidt, who challenged Boltzmann  
and Maxwell regarding the Second Law. Loschmidt argued that the  
temperature lapse in the atmosphere could be used to run a heat  
engine, thereby violating the Second Law. Loschmidt was wrong as  
shall be explained below but it is instructive to go through his  
reasoning. Loschmidt argued that the atmospheric temperature lapse  
occurs spontaneously, is self renewing and is due to the decrease in  
kinetic energy of molecules as they go up against the gravitational  
gradient between collisions. Therefore the atmospheric temperature  
decreases adiabatically with altitude and could be used to run a  
heat engine.


However, Loschmidt ignored the fact that molecular energies are  
distributed over a range of values and that gravity separates the  
molecules according to their energy in a fashion analogous to a mass  
spectrometer separating particles according to mass. Molecules with  
greater energy can reach greater heights. If one assigns a  
Maxwellian distribution to the molecules (exponentially decaying  
function of energy), then any vertical translation of a group of  
molecules results in a lowering of their kinetic energy,  
corresponding to a left shift of their distribution. After the  
distribution is renormalized to account for the lower density at  
higher elevation, the original distribution is recovered indicating  
that the gas is isothermal, not adiabatic as Loschmidt conjectured.  
This effect is due to the exponential nature of the distribution. An  
addition (of potential energy) in the exponent corresponds to a  
multiplication of the amplitude.  So Loschmidt was wrong: the  
Loschmidt effect (lowering of KE with altitude) is exactly canceled  
by the energy separation effect caused by gravity. However he was  
only wrong with respect to gases that follow Maxwell’s distribution.


Electrical carriers in semiconductor materials are Fermions  
following Fermi-Dirac statistics and the above argument does not  
apply to them. When subjected to a voltage they do develop a  
temperature gradient. This temperature differential is hard to  
observe because it is promptly shorted by heat phonons. As  
experiments at Caltech have shown (see my papers), it can be  
observed in certain circumstances such as in high Z thermoelectric  
materials in which electrical carriers and heat phonons are strongly  
decoupled. The Onsager reciprocal of the temperature differential is  
a voltage differential which has also been experimentally observed.


The two papers above describe these results in detail.

In summary, quantum mechanics, in particular the Pauli Exclusion  
Principle, can be used to bypass classical mechanics in generating  
macroscopic effects violating the Second Law.

Other relevant papers:
1)  Hanggi and Wehner arXiv:1205.6894  show that any violation  
to the Uncertainty Principle would result in a violation of the  
Second Law. This does not contradict my research which shows use of  
QM to violate the Second Law.  The paper  also suggests for  
future research the reverse proposition that any violation of the  
Second Law would result in a violation of the Uncertainty Principle.  
This, if true, would contradict my research.
2)  Lloyd, Seth, http://people.physics.anu.edu.au/~tas110/Teaching/Lectures/L5/Material/Lloyd06.pdf 
. This paper discusses derivation of 2nd Law from QM.


I welcome any comment or criticism that you may have.

George Levy


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Re: Two apparently different forms of entropy

2014-11-20 Thread Bruno Marchal


On 20 Nov 2014, at 00:54, meekerdb wrote:


On 11/19/2014 3:40 AM, Bruno Marchal wrote:
none use Positivism or any other school of philosophy because no  
philosophical franchise is of the slightest help in doing what  
scientists want to do, figure out how the world works.


I disagree. The collapse axiom, which is still in amost textbook,  
and which is used by bad pedagog to avoid hard question, is a  
philosophical axiom relying on a religious belief: the belief that  
there is only one physical universe, and that we are unique.


Some physicists used it as a rule of thumb, and as a way to not do  
philosophy, but of course, that is eventually like a use of God-gap  
type of explanation.


It's more than a rule-of-thumb; it's the Born rule.


The collapse is not the Born rule. You can add the Born rule, like  
Hartle and Graham, or derive it from the SWE, like Preskill,  
Selesnick, Destouches-février, and Gleason, with more or less implicit  
use of the FPI (which then must be extended to the full arithmetical  
domain).
There is only projections, which correspond to yes-no observable. The  
spectral decomposition is all we need, + Gleason, or more simple  
treatment.




Without it, there's no way to connect wave functions to  
probabilities and no way to test the theory.


The probabilities comes from the FPI on the terms where the observers  
appears in the relevant relative states. It is just the same first  
person selection that the one in the WM-duplication thought experience.


On the contrary, the collapse introduces a lot of magic non described  
by the SWE, like indeterminacy, non-locality, irreversibility, etc.


Bruno






Brent


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Re: Reversing time = local reversal of thermodynamic arrows?

2014-11-20 Thread Richard Ruquist
On Thu, Nov 20, 2014 at 10:43 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 19 Nov 2014, at 19:43, Richard Ruquist wrote:

 In MWI it is rather difficult to reverse time and unsplit the universe.


 The mutiverse is only the quantum configuration space taken seriously.
 The SWE describe all quantum evolution as a rotation (a unitary
 transformation) of a state vector  in the Hilbert space.  I can hardly
 imagine something more reversible.


 It's not Hermitian


 It is unitary.



Well it lacks enough energy to go forward in time,
going backwards cannot be that hard.


 Bruno




 Richard

 On Wed, Nov 19, 2014 at 1:40 PM, John Clark johnkcl...@gmail.com wrote:

 On Tue, Nov 18, 2014 at 12:06 AM, Russell Standish li...@hpcoders.com.au
  wrote:

  I'd say that by about 1850 when people started to have a understanding
 of what Entropy was physicists had all they needed to have known that the
 universe must have started out in a very very low entropy state, that is to
 say they could have predicted the Big Bang in the early to mid 19th
 century; and they wouldn't have needed to go near a telescope to do so. But
 unfortunately they didn't, it's one of the great failures of nerve or
 imagination in the history of science.


  Boltzmann indeed predicted a low entropy state sometime in the past.


 Yes but  Boltzmann thought that you could ignore boundary conditions and
 the second law of thermodynamics alone was enough to logically deduce that
 in the distant past the universe must have been in a very low entropy
 state, but in 1876 Loschmidt pointed out that Boltzman was wrong about
 that, he said you can't deduce a irreversible process, like the increase of
 entropy, from classical dynamics alone because if you just reverse the
 velocity of the particles in high entropy state B it will evolve back into
 the low entropy state A that produced it.  And knowing that there are
 VASTLY more high entropy states than low entropy states and asked what
 state produced the stat we're in now you'd have to answer that it was
 almost certainly one of those enormously numerous high entropy states
 UNLESS you made a further assumption, the past hypothesis, the idea that
 the universe must have started out in a very very low entropy state.

   John K Clark





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Re: Two apparently different forms of entropy

2014-11-20 Thread Richard Ruquist
On Thu, Nov 20, 2014 at 10:50 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 20 Nov 2014, at 01:03, Russell Standish wrote:

  On Wed, Nov 19, 2014 at 11:06:47AM -0500, Richard Ruquist wrote:


 The collapse hypothesis is correct if we need to conserve the total
 energy
 and information in the universe.
 Richard



 Wavefunction collapse creates information, it does not conserve it.

 Conserving information is equivalent to demanding unitarity of
 evolution. Wave function collapse is non-unitary.


 Exactly. It is the advantage of the many-worlds. The evolution of the
 universe/multiverse is a unitary transformation in the configuration space
 (the Hilbert space). It is deterministic, reversible, and let the
 probabilities and the information invariant. It is also local. And it
 explains why the memories of the observers contains appearance of
 indeterminacy (in a way coherent with computationalism that Everett
 assumed), non-locality, irreversibility, etc.

 Like you say: the collapse, if it was a physical phenomenon, would just
 contradict QM. The collapse is really an axiom saying that QM is false when
 observers do measurement. But this has never been successfully clarified,
 imo.



With a sufficient number of observations/measurements the entire wave
function is mapped out on the detector screen.
Therefore experimental measurements verify QM. It seems we live in an
energy conserving but non-unitary, information-creating universe.
Richard



 Bruno





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 Prof Russell Standish  Phone 0425 253119 (mobile)
 Principal, High Performance Coders
 Visiting Professor of Mathematics  hpco...@hpcoders.com.au
 University of New South Wales  http://www.hpcoders.com.au

 Latest project: The Amoeba's Secret
 (http://www.hpcoders.com.au/AmoebasSecret.html)
 
 

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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread Richard Ruquist
statistical-mechanical ensembles arise naturally from quantum
entanglement

http://people.physics.anu.edu.au/~tas110/Teaching/Lectures/L5/Material/Lloyd06.pdf

a lecture given by Seth Lloyd

QUANTUM THERMODYNAMICS
Excuse our ignorance
Classically, the second law of thermodynamics implies that our knowledge
about
a system always decreases. A more flattering interpretation connects
entropy
with entanglement inherent to quantum mechanics.
SETH LLOYD
is in the Department of Mechanical Engineering,
Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139-4307, USA

On Thu, Nov 20, 2014 at 11:30 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 20 Nov 2014, at 02:15, George wrote:

  Hi everyone


 This post is relevant to a few threads in this list

 “Reversing time = local reversal of thermodynamic arrows?”  and “Two
 apparently different forms of entropy”.


 I am sorry that I haven’t posted to this list for a while. I have been
 very busy with my work.

 In my latest research I have found that Quantum Mechanics, in particular
 the Pauli Exclusion Principle, can be used to go around limitations of
 classical physics and break the Second Law.



 Papers describing the research are publicly available at



 http://www.mdpi.com/1099-4300/15/11/4700



 and




 https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1
 (Currently under review)



 Nice to hear from you George. It has been a long time indeed. I will take
 a look, but up to now, my computer refuses to open the document ...

 To be frank, I doubt very much that QM could break the Second Law. If you
 could sum up the reason here, it would be nice. Take your time (I am also
 rather busy those days).


 Best,

 Bruno




 These papers describe experimentally observed thermoelectric adiabatic
 effects (the existence of a voltage without any heat flow, and the
 existence of a temperature differential without any input current.)



 Here is some background: The story begins with a thermodynamicist of the
 nineteenth century, Josef Loschmidt, who challenged Boltzmann and Maxwell
 regarding the Second Law. Loschmidt argued that the temperature lapse in
 the atmosphere could be used to run a heat engine, thereby violating the
 Second Law. Loschmidt was wrong as shall be explained below but it is
 instructive to go through his reasoning. Loschmidt argued that the
 atmospheric temperature lapse occurs spontaneously, is self renewing and is
 due to the decrease in kinetic energy of molecules as they go up against
 the gravitational gradient between collisions. Therefore the atmospheric
 temperature decreases adiabatically with altitude and could be used to run
 a heat engine.

 However, Loschmidt ignored the fact that molecular energies are
 distributed over a range of values and that gravity separates the molecules
 according to their energy in a fashion analogous to a mass spectrometer
 separating particles according to mass. Molecules with greater energy can
 reach greater heights. If one assigns a Maxwellian distribution to the
 molecules (exponentially decaying function of energy), then any vertical
 translation of a group of molecules results in a lowering of their kinetic
 energy, corresponding to a left shift of their distribution. After the
 distribution is renormalized to account for the lower density at higher
 elevation, the original distribution is recovered indicating that the gas
 is isothermal, not adiabatic as Loschmidt conjectured. This effect is due
 to the exponential nature of the distribution. An addition (of potential
 energy) in the exponent corresponds to a multiplication of the amplitude.
 So Loschmidt was wrong: the Loschmidt effect (lowering of KE with
 altitude) is exactly canceled by the energy separation effect caused by
 gravity. However he was only wrong with respect to gases that follow
 Maxwell’s distribution.



 Electrical carriers in semiconductor materials are Fermions following
 Fermi-Dirac statistics and the above argument does not apply to them. When
 subjected to a voltage they do develop a temperature gradient. This
 temperature differential is hard to observe because it is promptly shorted
 by heat phonons. As experiments at Caltech have shown (see my papers), it
 can be observed in certain circumstances such as in high Z thermoelectric
 materials in which electrical carriers and heat phonons are strongly
 decoupled. The Onsager reciprocal of the temperature differential is a
 voltage differential which has also been experimentally observed.



 The two papers above describe these results in detail.



 In summary, quantum mechanics, in particular the Pauli Exclusion
 Principle, can be used to bypass classical mechanics in generating
 macroscopic effects violating the Second Law.

 Other relevant papers:

 1)  Hanggi and Wehner arXiv:1205.6894 http://arxiv.org/abs/1205.6894

Re: Reversing time = local reversal of thermodynamic arrows?

2014-11-20 Thread John Clark
On Thu, Nov 20, 2014  Bruno Marchal marc...@ulb.ac.be wrote:

 The mutiverse is only the quantum configuration space taken seriously.
 The SWE describe all quantum evolution as a rotation (a unitary
 transformation) of a state vector  in the Hilbert space.  I can hardly
 imagine something more reversible.


Yes the Schrodinger Wave Equation is easily reversible (and it's continuous
and deterministic too), but with regard to the reversibility of time that's
a irrelevant fact because the SWE is a unobservable abstraction. To get
something real that you can actually see you must square the amplitude of
the SWE of a particle at a point and that will give you the probability you
will observe the particle at that point, and probability, unlike the SWE,
is something that you can observe and measure. And Schrodinger's equation
has complex values, that means it has a i  (the square root of -1) in it,
and that means very different quantum wave functions can give the exact
same probability when you square it; and if X and Y both produce Z then
things are not reversible, if you're in state Z there is no way to know if
the previous state was X or Y.

You get all sorts of strange stuff with i, like i^2=i^6 =-1 and
i^4=i^100=1.  And in the macroscopic non quantum world if the probability
of me flipping a coin and getting heads is 1/2 and the probability of you
flipping a coin and getting heads is 1/2 then the probability of both you
and me getting heads is 1/4, but in Quantum Mechanics that's not
necessarily true because now you must deal with i and complex numbers. I
think you could say that mathematically it's the existence of that damn i
in the SWE that makes Quantum Mechanics so weird.

  John K Clark

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Re: Two apparently different forms of entropy

2014-11-20 Thread meekerdb

On 11/20/2014 8:26 AM, Bruno Marchal wrote:


On 20 Nov 2014, at 00:54, meekerdb wrote:


On 11/19/2014 3:40 AM, Bruno Marchal wrote:
none use Positivism or any other school of philosophy because no philosophical 
franchise is of the slightest help in doing what scientists want to do, figure out 
how the world works.


I disagree. The collapse axiom, which is still in amost textbook, and which is used by 
bad pedagog to avoid hard question, is a philosophical axiom relying on a religious 
belief: the belief that there is only one physical universe, and that we are unique.


Some physicists used it as a rule of thumb, and as a way to not do philosophy, but of 
course, that is eventually like a use of God-gap type of explanation.


It's more than a rule-of-thumb; it's the Born rule.


The collapse is not the Born rule. You can add the Born rule, like Hartle and Graham, or 
derive it from the SWE, like Preskill, Selesnick, Destouches-février, and Gleason, with 
more or less implicit use of the FPI (which then must be extended to the full 
arithmetical domain).
There is only projections, which correspond to yes-no observable. The spectral 
decomposition is all we need, + Gleason, or more simple treatment.


Gleason says IF the Hilbert ray implies probabilities they must come from the Born rule.  
But it doesn't say why they should imply probabilities.






Without it, there's no way to connect wave functions to probabilities and no way to 
test the theory.


The probabilities comes from the FPI on the terms where the observers appears in the 
relevant relative states. It is just the same first person selection that the one in the 
WM-duplication thought experience.


But first person selection is the same as collapsing the wave function for each person.  
They renormalize it to reflect that it's either Moscow or Washington.


Brent



On the contrary, the collapse introduces a lot of magic non described by the SWE, like 
indeterminacy, non-locality, irreversibility, etc.


Bruno






Brent


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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread LizR
This is very interesting, if I can just get my head round it. Traditional
thermodynamics basically tells us that a closed system in a macroscopically
distinct state (and that is able to do so) will evolve with high
probability towards a state that is macroscopically indistinguishable from
most of the other states it can evolve into. However using quantum
phenomena like entanglement and uncertainty could root this apparently
emergent statistical phenomenon in some fundamental physics. Since the
emergent version should work anyway - with virtually *any *laws of
physics - we appear to have a surfeit of explanatory power!

However I need to get my head around it some more.

On 21 November 2014 07:26, Richard Ruquist yann...@gmail.com wrote:

 statistical-mechanical ensembles arise naturally from quantum
 entanglement


 http://people.physics.anu.edu.au/~tas110/Teaching/Lectures/L5/Material/Lloyd06.pdf

 a lecture given by Seth Lloyd

 QUANTUM THERMODYNAMICS
 Excuse our ignorance
 Classically, the second law of thermodynamics implies that our knowledge
 about
 a system always decreases. A more flattering interpretation connects
 entropy
 with entanglement inherent to quantum mechanics.
 SETH LLOYD
 is in the Department of Mechanical Engineering,
 Massachusetts Institute of Technology, 77 Massachusetts
 Avenue, Cambridge, Massachusetts 02139-4307, USA

 On Thu, Nov 20, 2014 at 11:30 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 20 Nov 2014, at 02:15, George wrote:

  Hi everyone


 This post is relevant to a few threads in this list

 “Reversing time = local reversal of thermodynamic arrows?”  and “Two
 apparently different forms of entropy”.


 I am sorry that I haven’t posted to this list for a while. I have been
 very busy with my work.

 In my latest research I have found that Quantum Mechanics, in particular
 the Pauli Exclusion Principle, can be used to go around limitations of
 classical physics and break the Second Law.



 Papers describing the research are publicly available at



 http://www.mdpi.com/1099-4300/15/11/4700



 and




 https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1
 (Currently under review)



 Nice to hear from you George. It has been a long time indeed. I will take
 a look, but up to now, my computer refuses to open the document ...

 To be frank, I doubt very much that QM could break the Second Law. If you
 could sum up the reason here, it would be nice. Take your time (I am also
 rather busy those days).


 Best,

 Bruno




 These papers describe experimentally observed thermoelectric adiabatic
 effects (the existence of a voltage without any heat flow, and the
 existence of a temperature differential without any input current.)



 Here is some background: The story begins with a thermodynamicist of the
 nineteenth century, Josef Loschmidt, who challenged Boltzmann and Maxwell
 regarding the Second Law. Loschmidt argued that the temperature lapse in
 the atmosphere could be used to run a heat engine, thereby violating the
 Second Law. Loschmidt was wrong as shall be explained below but it is
 instructive to go through his reasoning. Loschmidt argued that the
 atmospheric temperature lapse occurs spontaneously, is self renewing and is
 due to the decrease in kinetic energy of molecules as they go up against
 the gravitational gradient between collisions. Therefore the atmospheric
 temperature decreases adiabatically with altitude and could be used to run
 a heat engine.

 However, Loschmidt ignored the fact that molecular energies are
 distributed over a range of values and that gravity separates the molecules
 according to their energy in a fashion analogous to a mass spectrometer
 separating particles according to mass. Molecules with greater energy can
 reach greater heights. If one assigns a Maxwellian distribution to the
 molecules (exponentially decaying function of energy), then any vertical
 translation of a group of molecules results in a lowering of their kinetic
 energy, corresponding to a left shift of their distribution. After the
 distribution is renormalized to account for the lower density at higher
 elevation, the original distribution is recovered indicating that the gas
 is isothermal, not adiabatic as Loschmidt conjectured. This effect is due
 to the exponential nature of the distribution. An addition (of potential
 energy) in the exponent corresponds to a multiplication of the amplitude.
 So Loschmidt was wrong: the Loschmidt effect (lowering of KE with
 altitude) is exactly canceled by the energy separation effect caused by
 gravity. However he was only wrong with respect to gases that follow
 Maxwell’s distribution.



 Electrical carriers in semiconductor materials are Fermions following
 Fermi-Dirac statistics and the above argument does not apply to them. When
 subjected to a voltage they do develop a temperature gradient. This
 temperature 

Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread George

Thanks Bruno, Liz and Richard for your responses.

The topic is extremely controversial… It took me a few months of 
sleepless nights to come to term with these ideas…. but let reason 
prevail. I am looking forward to an open and rational discussion… a 
background in statistical thermodynamics would be helpful.


Bruno, you may not be able to download my pdf file because your Adobe 
Reader is not up to date. If you wish I could simply attach these files 
to my email. Please let me know. You asked me to summarize my post. The 
best way is with pictures taken from my 
paper#2.https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1 
(Currently under review)


Figure 7 shows what happens to the energy distribution of a Maxwellian 
gas (e.g. air) as molecules rise from ground level (red) to a given 
altitude (blue). Kinetic energy is converted to potential energy and the 
distribution shifts to the left.


However when the distribution is renormalized as shown in Figure 8, the 
original distribution is recovered, implying that the gas is isothermal 
with elevation. The Second Law is upheld and Loschmidt is proven 
wrong….. but only with respect to Maxwellian gases.


Now see what happens when a Fermi-Dirac gas (carriers in a 
semiconductor) is subjected to a force field as shown in Figure 9. The 
distribution is shifted to the left as elevation increases. However, 
renormalization does not recover the original distribution because it is 
not exponential. The lower elevation has a higher temperature than the 
higher elevation. The Second Law is broken. This effect can only be 
observed in high quality thermoelectric materials (Caltech experiment).


I have made this calculator program and a simulator publicly available 
at my web site.


*Figure. 7.* Un-normalized Maxwell distribution at ground (red/thick) 
and at non-zero elevation (blue/thin) showing a shift to a lower kinetic 
energy, a drop in density and a drop in temperature.


*Figure. 8.* Renormalized shifted Maxwell distribution at non-zero 
elevation (blue/thin) is identical to original non-shifted distribution 
at ground level (red/thick).


**

*Figure. 11.* Un-normalized Fermi-Dirac distribution at ground 
(red/thick) and non-zero elevation (blue/thin) showing drop in density 
and drop in temperature.


*Figure. 12.* Renormalized Fermi-Dirac distributions at ground level 
(red/thick) and at elevation (blue/thin) are different. Elevation lowers 
energy and temperature of gas.


Please look on the right of the pictures for the temperatures at the 
ceiling and at the floor.


George Levy



On 11/20/2014 1:16 PM, LizR wrote:
This is very interesting, if I can just get my head round it. 
Traditional thermodynamics basically tells us that a closed system 
in a macroscopically distinct state (and that is able to do so) 
will evolve with high probability towards a state that is 
macroscopically indistinguishable from most of the other states it can 
evolve into. However using quantum phenomena like entanglement and 
uncertainty could root this apparently emergent statistical phenomenon 
in some fundamental physics. Since the emergent version should work 
anyway - with virtually /any /laws of physics - we appear to have a 
surfeit of explanatory power!


However I need to get my head around it some more.

On 21 November 2014 07:26, Richard Ruquist yann...@gmail.com 
mailto:yann...@gmail.com wrote:


statistical-mechanical ensembles arise naturally from quantum
entanglement


http://people.physics.anu.edu.au/~tas110/Teaching/Lectures/L5/Material/Lloyd06.pdf

http://people.physics.anu.edu.au/%7Etas110/Teaching/Lectures/L5/Material/Lloyd06.pdf

a lecture given by Seth Lloyd

QUANTUM THERMODYNAMICS
Excuse our ignorance
Classically, the second law of thermodynamics implies that our
knowledge about
a system always decreases. A more flattering interpretation
connects entropy
with entanglement inherent to quantum mechanics.
SETH LLOYD
is in the Department of Mechanical Engineering,
Massachusetts Institute of Technology, 77 Massachusetts
Avenue, Cambridge, Massachusetts 02139-4307, USA

On Thu, Nov 20, 2014 at 11:30 AM, Bruno Marchal marc...@ulb.ac.be
mailto:marc...@ulb.ac.be wrote:


On 20 Nov 2014, at 02:15, George wrote:


Hi everyone


This post is relevant to a few threads in this list

“Reversing time = local reversal of thermodynamic arrows?”
and “Two apparently different forms of entropy”.


I am sorry that I haven’t posted to this list for a while. I
have been very busy with my work.

In my latest research I have found that Quantum Mechanics, in
particular the Pauli Exclusion Principle, can be used to go
around limitations of classical physics and break the Second Law.

Papers describing the 

Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread meekerdb

On 11/20/2014 3:57 PM, George wrote:


Thanks Bruno, Liz and Richard for your responses.

The topic is extremely controversial… It took me a few months of sleepless nights to 
come to term with these ideas…. but let reason prevail. I am looking forward to an open 
and rational discussion… a background in statistical thermodynamics would be helpful.


Bruno, you may not be able to download my pdf file because your Adobe Reader is not up 
to date. If you wish I could simply attach these files to my email. Please let me know. 
You asked me to summarize my post. The best way is with pictures taken from my 
paper#2.https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1 
(Currently under review)


Figure 7 shows what happens to the energy distribution of a Maxwellian gas (e.g. air) as 
molecules rise from ground level (red) to a given altitude (blue). Kinetic energy is 
converted to potential energy and the distribution shifts to the left.




Am I correctly interpreting this curve as showing that the kinetic energy probability 
density function is an exponential; so that the most probable kinetic energy for an air 
molecule is zero??  Why isn't it the Maxwell-Boltzmann distribution?


Brent



However when the distribution is renormalized as shown in Figure 8, the original 
distribution is recovered, implying that the gas is isothermal with elevation. The 
Second Law is upheld and Loschmidt is proven wrong….. but only with respect to 
Maxwellian gases.


Now see what happens when a Fermi-Dirac gas (carriers in a semiconductor) is subjected 
to a force field as shown in Figure 9. The distribution is shifted to the left as 
elevation increases. However, renormalization does not recover the original distribution 
because it is not exponential. The lower elevation has a higher temperature than the 
higher elevation. The Second Law is broken. This effect can only be observed in high 
quality thermoelectric materials (Caltech experiment).


I have made this calculator program and a simulator publicly available at my 
web site.

*Figure. 7.* Un-normalized Maxwell distribution at ground (red/thick) and at non-zero 
elevation (blue/thin) showing a shift to a lower kinetic energy, a drop in density and a 
drop in temperature.


*Figure. 8.* Renormalized shifted Maxwell distribution at non-zero elevation (blue/thin) 
is identical to original non-shifted distribution at ground level (red/thick).


**

*Figure. 11.* Un-normalized Fermi-Dirac distribution at ground (red/thick) and non-zero 
elevation (blue/thin) showing drop in density and drop in temperature.


*Figure. 12.* Renormalized Fermi-Dirac distributions at ground level (red/thick) and at 
elevation (blue/thin) are different. Elevation lowers energy and temperature of gas.


Please look on the right of the pictures for the temperatures at the ceiling and at the 
floor.


George Levy




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread LizR
The average kinetic energy of an air molecule is zero, I imagine, because
they're all travelling in different directions and cancel out? Or doesn't
it work like that?

On 21 November 2014 13:09, meekerdb meeke...@verizon.net wrote:

  On 11/20/2014 3:57 PM, George wrote:

  Thanks Bruno, Liz and Richard for your responses.

  The topic is extremely controversial… It took me a few months of
 sleepless nights to come to term with these ideas…. but let reason prevail.
 I am looking forward to an open and rational discussion… a background in
 statistical thermodynamics would be helpful.

  Bruno, you may not be able to download my pdf file because your Adobe
 Reader is not up to date. If you wish I could simply attach these files to
 my email. Please let me know. You asked me to summarize my post. The best
 way is with pictures taken from my paper#2.
 https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1
 (Currently under review)

  Figure 7 shows what happens to the energy distribution of a Maxwellian
 gas (e.g. air) as molecules rise from ground level (red) to a given
 altitude (blue). Kinetic energy is converted to potential energy and the
 distribution shifts to the left.


 Am I correctly interpreting this curve as showing that the kinetic energy
 probability density function is an exponential; so that the most probable
 kinetic energy for an air molecule is zero??  Why isn't it the
 Maxwell-Boltzmann distribution?

 Brent


  However when the distribution is renormalized as shown in Figure 8, the
 original distribution is recovered, implying that the gas is isothermal
 with elevation. The Second Law is upheld and Loschmidt is proven wrong…..
 but only with respect to Maxwellian gases.

  Now see what happens when a Fermi-Dirac gas (carriers in a
 semiconductor) is subjected to a force field as shown in Figure 9. The
 distribution is shifted to the left as elevation increases. However,
 renormalization does not recover the original distribution because it is
 not exponential. The lower elevation has a higher temperature than the
 higher elevation. The Second Law is broken. This effect can only be
 observed in high quality thermoelectric materials (Caltech experiment).

  I have made this calculator program and a simulator publicly available
 at my web site.

  *Figure. 7.* Un-normalized Maxwell distribution at ground (red/thick)
 and at non-zero elevation (blue/thin) showing a shift to a lower kinetic
 energy, a drop in density and a drop in temperature.

 *Figure. 8.* Renormalized shifted Maxwell distribution at non-zero
 elevation (blue/thin) is identical to original non-shifted distribution at
 ground level (red/thick).

  *Figure. 11.* Un-normalized Fermi-Dirac distribution at ground
 (red/thick) and non-zero elevation (blue/thin) showing drop in density and
 drop in temperature.

 *Figure. 12.* Renormalized Fermi-Dirac distributions at ground level
 (red/thick) and at elevation (blue/thin) are different. Elevation lowers
 energy and temperature of gas.



 Please look on the right of the pictures for the temperatures at the
 ceiling and at the floor.

 George Levy




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread meekerdb
If it were the momentum or velocity the mean would be zero, but it wouldn't be 
exponential.  If you just considered the speed (absolute magnitude of velocity) in a 
particular direction you get an exponential distribution.  Is that what the graph represents?


Brent

On 11/20/2014 5:03 PM, LizR wrote:
The average kinetic energy of an air molecule is zero, I imagine, because they're all 
travelling in different directions and cancel out? Or doesn't it work like that?


On 21 November 2014 13:09, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
wrote:


On 11/20/2014 3:57 PM, George wrote:


Thanks Bruno, Liz and Richard for your responses.

The topic is extremely controversial… It took me a few months of sleepless 
nights
to come to term with these ideas…. but let reason prevail. I am looking 
forward to
an open and rational discussion… a background in statistical thermodynamics 
would
be helpful.

Bruno, you may not be able to download my pdf file because your Adobe 
Reader is not
up to date. If you wish I could simply attach these files to my email. 
Please let
me know. You asked me to summarize my post. The best way is with pictures 
taken
from my

paper#2.https://sites.google.com/a/entropicpower.com/entropicpower-com/Thermoelectric_Adiabatic_Effects_Due_to_Non-Maxwellian_Carrier_Distribution.pdf?attredirects=0d=1
(Currently under review)

Figure 7 shows what happens to the energy distribution of a Maxwellian gas 
(e.g.
air) as molecules rise from ground level (red) to a given altitude (blue). 
Kinetic
energy is converted to potential energy and the distribution shifts to the 
left.



Am I correctly interpreting this curve as showing that the kinetic energy
probability density function is an exponential; so that the most probable 
kinetic
energy for an air molecule is zero??  Why isn't it the Maxwell-Boltzmann 
distribution?

Brent



However when the distribution is renormalized as shown in Figure 8, the 
original
distribution is recovered, implying that the gas is isothermal with 
elevation. The
Second Law is upheld and Loschmidt is proven wrong….. but only with respect 
to
Maxwellian gases.

Now see what happens when a Fermi-Dirac gas (carriers in a semiconductor) is
subjected to a force field as shown in Figure 9. The distribution is 
shifted to the
left as elevation increases. However, renormalization does not recover the 
original
distribution because it is not exponential. The lower elevation has a higher
temperature than the higher elevation. The Second Law is broken. This 
effect can
only be observed in high quality thermoelectric materials (Caltech 
experiment).

I have made this calculator program and a simulator publicly available at 
my web site.

*Figure. 7.* Un-normalized Maxwell distribution at ground (red/thick) and at
non-zero elevation (blue/thin) showing a shift to a lower kinetic energy, a 
drop in
density and a drop in temperature.

*Figure. 8.* Renormalized shifted Maxwell distribution at non-zero elevation
(blue/thin) is identical to original non-shifted distribution at ground 
level
(red/thick).

**

*Figure. 11.* Un-normalized Fermi-Dirac distribution at ground (red/thick) 
and
non-zero elevation (blue/thin) showing drop in density and drop in 
temperature.

*Figure. 12.* Renormalized Fermi-Dirac distributions at ground level 
(red/thick)
and at elevation (blue/thin) are different. Elevation lowers energy and 
temperature
of gas.

Please look on the right of the pictures for the temperatures at the 
ceiling and at
the floor.

George Levy




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread George

Maxwell's distribution

f = e^(-E/kT) where E = (1/2) mv^2

can be looked at in different ways. It is a Chi Square distribution with 
respect to velocity v, and exponential with respect to kinetic energy E.
The _most likely (mode)_ kinetic energy is zero but the _mean_ kinetic 
energy is not zero . The distribution decays exponentially with higher 
energies.

George

On 11/20/2014 6:13 PM, meekerdb wrote:
If it were the momentum or velocity the mean would be zero, but it 
wouldn't be exponential.  If you just considered the speed (absolute 
magnitude of velocity) in a particular direction you get an 
exponential distribution.  Is that what the graph represents?


Brent

On 11/20/2014 5:03 PM, LizR wrote:
The average kinetic energy of an air molecule is zero, I imagine, 
because they're all travelling in different directions and cancel 
out? Or doesn't it work like that?




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread meekerdb

On 11/20/2014 6:28 PM, George wrote:

Maxwell's distribution

f = e^(-E/kT) where E = (1/2) mv^2


?? Distribution with respect to energy is:

f_E\,dE=f_p\left(\frac{dp}{dE}\right)\,dE =2\sqrt{\frac{E}{\pi}} \left(\frac{1}{kT} 
\right)^{3/2}\exp\left[\frac{-E}{kT}\right]\,dE.









Note the sqrt(E) factor. 
http://en.wikipedia.org/wiki/Maxwell-Boltzmann_distribution

Brent



can be looked at in different ways. It is a Chi Square distribution with respect to 
velocity v, and exponential with respect to kinetic energy E.

The _most likely (mode)_ kinetic energy is zero


Not for a Maxwell-Boltzmann distribution.


Brent

but the _mean_ kinetic energy is not zero . The distribution decays exponentially with 
higher energies.

George

On 11/20/2014 6:13 PM, meekerdb wrote:
If it were the momentum or velocity the mean would be zero, but it wouldn't be 
exponential.  If you just considered the speed (absolute magnitude of velocity) in a 
particular direction you get an exponential distribution.  Is that what the graph 
represents?


Brent

On 11/20/2014 5:03 PM, LizR wrote:
The average kinetic energy of an air molecule is zero, I imagine, because they're all 
travelling in different directions and cancel out? Or doesn't it work like that?




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Re: Quantum Mechanics Violation of the Second Law

2014-11-20 Thread George

Brent you are right.
Maxwell distribution is not exponential with energy. For the purpose of 
comparing the different distributions, I was attempting to give the same 
form to all distributions Maxwell, Fermi-Dirac and Bose-Einstein 
independently of the scaling factor in front of the exponential. i.e.,

Maxwell: 1/e^x
Fermi-Dirac 1/(e^x  + 1)
Bose-Einstein: 1/(e^x  - 1)
I may not have been correct in doing this.

I agree, Maxwell distribution is not exponential with _energy_.

If we assume that the distribution is also not exponential with 
_elevation_ then the renormalized distribution after vertical 
translation does not overlap the original distribution. Therefore there 
is a spontaneous atmospheric temperature lapse and Loschmidt was right 
after all! Breaking the Second Law does not require QM.  All that is 
required is a Maxwellian gas in a force field.


The question therefore is whether Maxwell distribution is exponential 
with _elevation_. If it is then Loschmidt falls on Maxwellian gases. If 
it is not, then Loschmidt is completely vindicated for any kind of gas. 
I need to think about this. Any idea?


George

On 11/20/2014 6:41 PM, meekerdb wrote:

On 11/20/2014 6:28 PM, George wrote:

Maxwell's distribution

f = e^(-E/kT) where E = (1/2) mv^2


?? Distribution with respect to energy is:

Note the sqrt(E) factor. 
http://en.wikipedia.org/wiki/Maxwell-Boltzmann_distribution


Brent



can be looked at in different ways. It is a Chi Square distribution 
with respect to velocity v, and exponential with respect to kinetic 
energy E.

The _most likely (mode)_ kinetic energy is zero


Not for a Maxwell-Boltzmann distribution.


Brent

but the _mean_ kinetic energy is not zero . The distribution decays 
exponentially with higher energies.

George

On 11/20/2014 6:13 PM, meekerdb wrote:
If it were the momentum or velocity the mean would be zero, but it 
wouldn't be exponential.  If you just considered the speed (absolute 
magnitude of velocity) in a particular direction you get an 
exponential distribution.  Is that what the graph represents?


Brent

On 11/20/2014 5:03 PM, LizR wrote:
The average kinetic energy of an air molecule is zero, I imagine, 
because they're all travelling in different directions and cancel 
out? Or doesn't it work like that?






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