What Have Spacetime, Shape and Symmetry to Do with Thermodynamics?

TL;DR

This paper explores speculative ideas linking thermodynamics, spacetime, shape, and symmetry, proposing a hypothetical lattice spacetime where symmetry could imply the velocity of light as a conversion factor, suggesting a unified perspective.

Contribution

It introduces a novel, highly speculative hypothesis connecting fundamental physical concepts through a hypothetical symmetric spacetime lattice.

Findings

Proposes a lattice spacetime model with fixed metric.

Suggests symmetry could relate units of displacement and time.

Speculates on the velocity of light as a unit conversion factor.

Abstract

Some highly speculative and serendipitous ideas that might relate thermodynamics, spacetime, shape and symmetry are brought together. A hypothetical spacetime comprising a pointwise lattice with a fixed metric is considered. If there were absolute symmetry between displacement and time it is suggested that the velocity of light would be an integer conversion factor between the units of these quantities. In the context of such outlandish hypotheses the answer to the question posed would be 'everything'.