The Dual Asymmetric Universe

We present a fundamental unification of quantum mechanics and general relativity through the principle of Dual Asymmetry, embodied in the Pasternak Dual Asymmetry (PDA) inequality, ΔSth≥kB⋅∥ΔSent(S)∥ΔSth≥kB⋅∥ΔSent(S)∥. Derived rigorously from unitarity and initial factorizability, this principle establishes that any local decrease in von Neumann entropy (information condensation) must be paid for by a proportional increase in thermodynamic entropy. We demonstrate how this single principle resolves central paradoxes: the quantum measurement problem reinterprets wavefunction collapse as a unitary "condensation-collapse" process; the Yang-Mills mass gap emerges as the minimum energy quantum required to localize information from the entangled vacuum; dark energy and cosmic acceleration arise as the thermodynamic pressure in a self-regulating cosmological engine powered by global information condensation; spacetime geometry and gravitation emerge as effective descriptions of the thermodynamic properties of the fundamental entanglement network. The PDA inequality thus represents a Fourth Law of Thermodynamics that unifies microscopic quantum phenomena with macroscopic cosmic evolution.