What question did this study set out to answer?

This paper aims to establish the relationship between entropy, temporal memory, and black hole dynamics.

July 9, 2026Open Access

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

Key Points

This paper aims to establish the relationship between entropy, temporal memory, and black hole dynamics.
Developed a memory-based formulation of entropy.
Explored the implications for black hole thermodynamics.
Investigated the connection to the arrow of time.
Established that entropy can be linked to temporal memory and gravitational dynamics.
Demonstrated the connection between black hole thermodynamics and historical memory effects.
Uncovered insights into how entropy relates to the arrow of time.

Abstract

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.

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