The Coherence-Entropy Interpretation of Quantum Mechanics: Incorporating Stochastic Probability into Universal Physical Laws

We propose the Coherence-Entropy Interpretation (CEI) of quantum mechanics, a foundational framework asserting that physical laws are fundamentally constrained by an intrinsic relationship between quantum coherence and macroscopic entropy. Rather than treating quantum randomness as an environmental artifact, the CEI postulates that universal dynamical laws must explicitly incorporate stochastic probability amplitudes. By defining a modified, trace-preserving Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation with an entropy-dependent constraint, we demonstrate how deterministic universal laws emerge asymptotically as a consequence of global entropic maximization. Crucially, our modified formulation remains strictly linear, inherently satisfying the no-signaling theorem and preventing superluminal communication vulnerabilities. We contrast this framework with the Copenhagen and Many-Worlds interpretations, and propose an empirical macro-molecular experiment using complex fullerenes where self-induced entropic decoherence may be observed.