Quantum Gravity and String Theory

   

Proof that Space is Equivalent to Energy, and that Compactification Necessarily Leads to Changes in Volume, Energy and Entropy

Authors: Christopher Pilot

Using simple box quantization, we demonstrate explicitly that space is equivalent to energy, and that compactification releases latent heat with an attendant change in volume and entropy. Increasing spatial dimension costs energy while decreasing dimensions releases energy, which can be quantified, using a generalized version of the Clausius-Clapyeron relation. We show this for a massive particle trapped in a box. Compactification from N-dimensional space to (N-1) spatial dimensions is also simply demonstrated and the correct limit to achieve a lower energy result is to take the limit where Lw  0, where Lw 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: 10 Pages.

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Submission history

[v1] 2018-06-12 14:14:14

Unique-IP document downloads: 28 times

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