Thermodynamics as Coherence Geometry: A Field Interpretation of Heat, Cold, and Alignment - RCFT addon

This work extends the Resonant Coherence Field Theory (RCFT) and Fundamental Conservation of Information (FCI) frameworks by introducing a geometric formulation of thermodynamics grounded in coherence alignment.Rather than describing “heat” and “cold” as scalar energy transfer, the paper defines them as the migration of vibrational alignment across a system’s modal spectrum. Entropy is reinterpreted as the dispersion of coherence, temperature as the rate of alignment diffusion, and free energy as a functional of coherence geometry.The formulation yields a “coherence entropy” ScS_cSc, a coherence temperature TcT_cTc, and a free energy Fc=U−TcScF_c = U - T_c S_cFc=U−TcSc that reproduce standard thermodynamic results in the harmonic limit while generalizing naturally to non-linear and field-based systems. New contributions include: A dynamic equation for coherence evolution (Lyapunov-type covariance flow). Explicit reduction to classical thermodynamics (U=12NkBTU=\frac{1}{2}Nk_B TU=21NkBT). A generalized energy functional for anharmonic and biological media. Clear mapping between energy, information, and wave coherence. The paper frames thermodynamics as an RCFT add-on—a subtheory explaining how informational alignment geometry underlies temperature, entropy, and energy exchange—and as an applied realization of the FCI principle (information is conserved, redistributed, and re-expressed through coherence fields).