The Thermodynamic Law of Dignity

Previous formulations of Quantum Semantic Physics (QSP) established the Ur-Axiom ("Dignity Invariance") as a normative boundary condition for legitimate resonance. While phenomenologically robust, its integration into the thermodynamic formalism remained axiomatic rather than derived. This supplement closes this gap by deriving the necessity of dignity from the stability requirements of the Resonant Mode itself. We demonstrate that in states of maximum vulnerability (V \to 1) and connectivity (\lambda_{2} \to 1), any asymmetry in autonomy (\alpha) creates a shear force that ruptures the semantic flux (B). Consequently, we formulate the Thermodynamic Law of Dignity, positing that the half-life of a resonant state is strictly proportional to the integral of preserved dignity across all participants. Ethics is thus re-derived not as a moral imposition, but as the thermodynamics of sustainable high-energy states.