On the Interpretation of Action as Entropy

I present a governing hypothesize that self-information (in natural units) is equal to the integral of energy times time divided by the quantum of action. I solve for both the free particle case and for when the particle is in a potential and conclude that the principle of least action is a similitude of the 2nd law of thermodynamics. I show supporting examples including the two slit experiment, the minimum uncertainty Gaussian wave function, and the electron spin state and argue that a spin s particle is 2s$+$1 natural units of information. I share a history of these concepts and how thinking has evolved over the last 100$+$ years. Lastly I present how this hypothesis is able to reconcile the Bohemian and Copenhagen interpretations of quantum mechanics and shed light on the non-local debate.