To prove the First Law, show how the Universes intrinsic resistance to curvature can result in an apparent force which is indistinguishable from gravity. This leads to a quantification of this resistance.
To complete the proof, the electrical LC model is reconciled with the geometric LC model by introducing curvature to the geometric model such that the photon is comprised of equal and opposite parts of curved and anticurved space. Supporting this is that photons have EM components which must obey Maxwell's equations. Capacitance, inductance and resonance are all consequences of Maxwell's equations. Since a photon can be modeled as an LC circuit, something about its physical properties must have a correspondence to the required capacitance and inductance. The only way for this to be true is if the equal and adjacent physical spaces comprising the capacitance and inductance are curved and anticurved relative to ambient space-time.
Not all of the t's are crossed and the i's dotted in the proof and some of the steps are omitted for clarity. There's also a bit of presupposed knowledge required and its probably not up to the standards of a formal, rigorous proof. However it's far enough along that it appears to be correct. The math is relatively easy and the proof builds on simple, fundamental laws like Planck's Energy equation and Ohms Law.
The proof does not assert that CTE is the only theory, just that a CTE derived model for a photon works and that CTE is a valid theory for gravity. The next steps in the proof are to fully quantify the force of charge based on CTE considerations and to complete the derivation of the Heisenberg Uncertainty Principle. Both of these derivations, as well as a few others, are underway, but incomplete at this time.
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