Entropy, Horizons, and Information in History-Dependent Gravity (HDG XVIII)

This is the eighteenth paper in the History-Dependent Gravity (HDG) series. Series overview:- HDG I-XII: Foundations of temporal memory in gravitational dynamics- HDG XIII: Temporal Vacuum Relaxation and the Origin of the Cosmological Constant- HDG XIV: Temporal Kernel Geometry and Logarithmic Memory Signatures- HDG XV: Dark Matter as a Memory Effect- HDG XVI: Emergent Causality from Temporal Memory Kernels- HDG XVII: Gravitational Memory as the Origin of Quantum Decoherence and the Arrow of Time- HDG XVIII (this work): Entropy, Horizons, and Information in History-Dependent Gravity This paper develops a memory-based formulation of entropy, establishing the connection between temporal memory, black hole thermodynamics, and the arrow of time.