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Main Authors: Shameeem, Smeehan S, K V, Priyesh, B, Krishna P., Mathew, Titus K
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.12003
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author Shameeem, Smeehan S
K V, Priyesh
B, Krishna P.
Mathew, Titus K
author_facet Shameeem, Smeehan S
K V, Priyesh
B, Krishna P.
Mathew, Titus K
contents We investigate the cosmological implications of generalized mass-to-horizon entropy, a two-parameter extension of the standard Bekenstein entropy based on the mass-to-horizon relation. Assuming the entropy balance relation, we derive the change in the generalized mass-to-horizon entropy, which entirely accounts for the heat exchange across the horizon as measured by an observer near the apparent horizon. We have then derived the Friedmann equation, using the Clausius relation, and also using modified law of thermodynamics. The thermodynamic consistency of the entropy, is examined through entropy evolution and entropy maximization conditions, where the generalized entropy and its higher-order derivatives indicate that the universe evolves toward a stable maximum entropy configuration consistent with the generalized second law of thermodynamics. In addition, fluctuations in horizon energy are investigated to probe the thermal stability and thermodynamic behavior of the cosmic horizon. The fluctuation analysis reveals finite and physically stable behavior throughout cosmic evolution, supporting the thermodynamic viability of the proposed model. The present work therefore establishes the generalized mass-to-horizon entropy as a viable thermodynamic framework for describing modified cosmological dynamics and also the accelerated expansion of the universe as well.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12003
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics
Shameeem, Smeehan S
K V, Priyesh
B, Krishna P.
Mathew, Titus K
General Relativity and Quantum Cosmology
We investigate the cosmological implications of generalized mass-to-horizon entropy, a two-parameter extension of the standard Bekenstein entropy based on the mass-to-horizon relation. Assuming the entropy balance relation, we derive the change in the generalized mass-to-horizon entropy, which entirely accounts for the heat exchange across the horizon as measured by an observer near the apparent horizon. We have then derived the Friedmann equation, using the Clausius relation, and also using modified law of thermodynamics. The thermodynamic consistency of the entropy, is examined through entropy evolution and entropy maximization conditions, where the generalized entropy and its higher-order derivatives indicate that the universe evolves toward a stable maximum entropy configuration consistent with the generalized second law of thermodynamics. In addition, fluctuations in horizon energy are investigated to probe the thermal stability and thermodynamic behavior of the cosmic horizon. The fluctuation analysis reveals finite and physically stable behavior throughout cosmic evolution, supporting the thermodynamic viability of the proposed model. The present work therefore establishes the generalized mass-to-horizon entropy as a viable thermodynamic framework for describing modified cosmological dynamics and also the accelerated expansion of the universe as well.
title Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2605.12003