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arXiv · 1608.03412

The space time DoF surface density as a phase-space of accelerating reference frames

Merav Hadad
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Abstract

Padmanabhan found a definition for the surface density of space time degrees of freedom. We prove that this density can be constructed from a phase space which is derived with respect to a special space like vector field. This vector field is the direction of an accelerating vector field. After projecting this phase space along a velocity vector field, we show that Padmanabhan's surface density is actually the projected phase space during one period of the Euclidean time which is expected for a canonical ensemble. This suggests that Padmanabhan's density should be regarded as a spatial phase space which is driven by acceleration.

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Merav Hadad. 2016-08-11. The space time DoF surface density as a phase-space of accelerating reference frames. https://arxiv.org/abs/1608.03412

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