Author(s)

Christopher Pilot

Physics Department Gonzaga University, Spokane, WA, USA.

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 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, L_w → 0, where L_w 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.

Spatial Transitions, Box Quantization, Compactification

Pilot, C. (2019) Proof That Spatial Transitions Release/Absorb Energy That Compactification Necessarily Leads to Changes in Volume, Energy and Entropy. Journal of High Energy Physics, Gravitation and Cosmology, 5, 310-320. doi: 10.4236/jhepgc.2019.52017.