Entropy Production as Anchored Modular Charge: A Parameter-Free QTT Derivation of the Second Law and Its Area-Law, Page-Bound and Transport Consequences

The Second Law is usually derived by adding coarse graining, typicality, molecular chaos or a low-entropy initial condition to reversible microscopic dynamics. Here the arrow is instead obtained as a structural ledger theorem inside Quantum Traction Theory (QTT). Each Reality-Dimension address w carries a finite, complete modular budget Q_bundle = 2π. The visible share is measured by the anchored Umegaki-Araki charge Q_w = 2π D(rho_w || omega_w), while entropy production is the irreversible loss of accessible modular charge under admissible dynamics. Positivity and data processing of relative entropy give local Clausius and fluctuation inequalities. QTT creation then makes the active address count…