Thermodynamics of Coherence: Quantum Ultrametric Rigidity and the Informational Origin of Geometry

Editorial Note (November 2025)This Version v2 remains valid as a conceptual and thermodynamic reference.A refined geometric formulation of the sub-isoperimetric relation and coherence scaling is currently being aligned with “Geometry of Coherence v2”: • Tosato, G. (2025). Geometry of Coherence: the QUR Framework and the Informational Origin of Curvature (v2). Zenodo. DOI: 10.5281/zenodo.17525393.The update does not affect the core constitutive identity: S · ρrig ≈ MP⁴ nor the thermodynamic interpretation established in Chapters 3–6.A consolidated release (Version v3) of “Thermodynamics of Coherence” will follow, maintaining full consistency with the geometric framework of “Geometry of Coherence v2”.