Quantum Gravity and String Theory


Proof that Spatial Transitions Release/Absorb Energy and that Compactification Necessarily Leads to Changes in Volume, Energy and Entropy

Authors: Christopher Pilot

Using simple box quantization, we demonstrate explicitly that a spatial transition will release or absorb energy, and that compactification releases latent heat with an attendant change in volume and entropy. Increasing spatial dimension for a given number of particles costs energy while decreasing dimensions supplies energy, which can be quantified, using a generalized version of the Clausius-Clapyeron relation. We show this explicitly for massive particles trapped in a box. Compactification from -dimensional space to (−1) spatial dimensions is also simply demonstrated and the correct limit to achieve a lower energy result is to take the limit,  0 , where is the compactification length parameter. Higher dimensional space has more energy and more entropy, all other things being equal, for a given cutoff in energy.

Comments: 13 Pages. already published:Pilot, C, 2019, Proof That Spatial Transitions Release/Absorb Energy and That Compactification Necessarily Leads to Changes in Volume, Energy and Entropy, Journal of High Energy Physics, Gravitation and Cosmology (JHEPGC) Vol 5, No

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[v1] 2019-03-26 19:56:52

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