Emergence of cosmic space in Tsallis modified gravity from equilibrium and non-equilibrium thermodynamic perspective

2022/11/25 by M. Dheepika, Dheepika, M., Hassan Basari V. T. +3 · 6 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2211.14039

openalex publication_date 2022/11/25 · openalex created_date 2022/11/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we obtain the law of emergence with Tsallis entropy from the thermodynamic laws. We first derive the law of emergence from the equilibrium description of the unified first law and Clausius relation. However, it has been shown that considering Tsallis entropy as the horizon entropy, the Clausius relation δQ=T dS does not hold due to non-equilibrium thermodynamics and is replaced by the entropy-balance relation dS=(δQ)/(T)+d_iS, where d_iS is the additional entropy produced due to the irreversible thermodynamic process. Hence, we derive the law of emergence from the non-equilibrium description of thermodynamic laws. The comparison between the law of emergence in both cases shows that the law of emergence from the non-equilibrium approach describes the expansion of the universe in terms of the areal volume, unlike the effective volume in the equilibrium case. We have further shown that the law of emergence also satisfies the condition of the maximization of entropy for a de Sitter universe; thus, the entropy of the universe evolves to a bounded value in the asymptotic future.

Cited by

• Topological and optical signatures of modified black-hole entropies
• Effective matter sectors from modified entropies
• Baryogenesis constraints on generalized mass-to-horizon entropy
• Observational constraints on the modified cosmology inspired by string T-duality
• Modified cosmology through generalized mass-to-horizon entropy: implications for structure growth and primordial gravitational waves
• Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data

Related

• Emergence of cosmic space with Barrow entropy, in non-equilibrium thermodynamic conditions
• Emergence of space from the first law of thermodynamics in the braneworld scenarios
• Unified formalism for the emergence of space from the first law of thermodynamics
• Emergence of Cosmic Space and Horizon Thermodynamics from Kaniadakis Entropy
• Emergence of cosmic space and the maximization of horizon entropy