Classical Thermodynamics from Spacetime Geometry

[Yablon]

Dear Friends:

I mentioned the other day that I thought I could connect the work earlier reported on the FQHE directly to thermodynamics. It took me a few days to brush up on thermodynamics and get it just right, but I believe I have done so. The result is available in a brief ten page paper at http://vixra.org/pdf/1501.0070v1.pdf.

In essence, I have derived thermodynamics including the second law of increasing entropy from the geometric structure of spacetime itself.

Although presented here on a completely independent basis, this result confirms my earlier results in http://vixra.org/pdf/1412.0267v1.pdf. In that paper, I inferred from the bar and ribbon orientation-entanglement-twist that the north and south gauge patches in the Dirac-Wu-Yang monopole theory must differ from one another by more than a gauge transformation at non-zero temperatures, and that this difference is given by where is equal to zero at 0K and increases at higher temperatures. This is what allowed me to break the electric / magnetic duality and explain why the Dirac monopoles are not observed in general although they are responsible near 0K for the FQHE. Because this is in energy dimensions and also is regarded to increase with temperature, I inferred that this would have to be the same as the internal energy which is a thermodynamic state variable, for everything to fit properly together. Because I had also found that had to be the gradient of a scalar which I referred to as the "thermal charge" or the "magnetic monopole residue," this meant that by identifying , the differential forms equation for would have to be with the integral form , and that the in this equation would have to behave like the internal energy and that these differential forms equations would have to yield the laws of thermodynamics including the second law of increasing entropy for irreversible process. Surely enough, this new paper at http://vixra.org/pdf/1501.0070v1.pdf proves that this is precisely so.

So while I have independently shown that classical thermodynamics results from the simple differential forms equation which is the double exterior derivative being applied to an observable scalar potential which is identified with the thermal charge / monopole residue in the FQHE paper, the fact that this is provably-true provides direct thermodynamic validation of the FQHE results. What I analogized to internal thermal energy and heat in the FQHE paper and inferred was in fact internal energy, has now been show to be exactly what I thought it was, all the way through the second law for entropy.

Jay

[Ben6993]

Hi Jay

Just one typo to report. Equation (2.8) has a raised index 'v' which by symmetry should be '1'.

I have printed this paper in the hope of studying it and learning from it! You should have no trouble getting this paper published?

Best wishes

[Yablon]

Hi Jay

Just one typo to report. Equation (2.8) has a raised index 'v' which by symmetry should be '1'.

I have printed this paper in the hope of studying it and learning from it! You should have no trouble getting this paper published?

Best wishes

Ben,

I sure hope you are right! Just posted an update that should appear at http://vixra.org/pdf/1501.0070v2.pdf in the next hour or two. Fixed the typo, and a few other things. Taking a few days away; will be back in touch at the end of next week.

Jay

[Q-reeus]

Just a few words of caution in respect of trusting general theorems that have apparently water-tight proofs. Famously, both Arthur Eddington and Albert Einstein declared the 2nd law to be the premier law in all of physics - that will stand 'for all time'. Back in the mid 90's I came up with a simple counterexample that relied on just two classical optics principles both well known and firmly established by the 19th century. It involved a planar structure. In 2009, theory and experimental validation of an analogue in cylindrical geometry (incorporating one of the two principles in my arrangement) was published:
http://www.newscientist.com/article/dn1 ... earth.html
http://arxiv.org/abs/0910.2159v2

Strangely perhaps, while the team there talks of more efficient 'light harvesting' for solar power, the seemingly quite obvious implication that random ambient radiation will concentrate within the core region thus 'spontaneously' create energy density concentration was never discussed. Or maybe much is going on behind closed doors! Ay any rate, as mentioned above my design had one important difference (apart from planar vs cylindrical) that leaves no doubt the 2nd Law will fail. May get around to publishing an article on it sometime not too distant. And of course my claim will then be fair game for criticism. Will take bets now it will survive all attacks.