The Predictable Equilibrium: Recovering the Second Law's Predictions from Quantum-Geometry Dynamics, Without an Entropy-Increase Postulate

Abstract

Classical thermodynamics treats entropy as a definitional import: introduced by definition, with the Second Law asserted alongside it rather than derived from it. Quantum-Geometry Dynamics (QGD) avoids this. Energy and Heat are each one-step aggregations of a single primitive — a preon(+)'s momentum vector — and Entropy is simply their difference, inheriting their grounding for free. This paper derives, rather than postulates, entropy's behaviour. Treating a closed room as one object at its own molecular scale (P6), and applying QGD's collision laws (P11 Ch. 8), finite state-matrix cardinality (P41), and mechanism-irreversibility (P7), it shows that a room with an internal temperature difference settles into a unique equilibrium and does not return to a comparably non-uniform state — the observable content of the Second Law. It also shows the textbook statement overreaches: for this heat-redistribution process, entropy is exactly conserved, not increasing. Only the cosmological, binding-driven entropy increase of P7 §5 is exceptionless. The paper closes with a falsifiable prediction: ordinary molecular collisions should generate a small population of free thermal photons, a channel classical kinetic theory's non-radiative collision model does not admit.