Authors: Alexandre Harvey-Tremblay
We propose a simple partition function that unifies a surprisingly large amount of physical laws. The partition function is constructed from two conjugate-pairs: 1) an entropic-force conjugated to a thermal-length and 2) an entropic-power conjugated to a thermal-time. From its equation of state, we derive the Schrödinger equation, the Dirac equation, special relativity, general relativity, dark energy, Newton's law of gravitation, and Newton's law of inertia and show that its Lagrange multipliers are the Planck units. We also propose a solution to the problem of the arrow of time as a natural consequence of the construction.
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