Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity

Agnidipto Bhattacharya; Shinjini Ghosh; Atreyee Biswas; Sujay Kr. Biswas

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arXiv · 2609.31776

Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity

Agnidipto Bhattacharya·Shinjini Ghosh·Atreyee Biswas·Sujay Kr. Biswas

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Abstract

In this study, the power law form of f(Q) gravity $(f(Q)=Q+mQ^n)$ has been studied in view of statistical analysis with current observed data and irreversible thermodynamics. The best fit values of model specific parameters are found with the use of of 31point Hubble data, Patntheon type Supernva and 1721 point SH0ES data and a comparative study has been performed between $f(Q)$ and standard $Λ$CDM model. The thermodynamic consequence using standard Eckart theory of non-equilibrium thermodynamics has been examined independently for general form of $f(Q)$ gravity followed by power law form of $f(Q)$ where the horizon entropy is calculated using unified law of thermodynamics. Suitable range of power law model specific parameters has been explored through investigating validity of generalized second law of thermodynamics and thermodynamic equilibrium. Finally evolution nature of cosmographic parameters are studied within the specific range of $m,n$ which is compatible with the results obtained from both statistical and thermodynamical analysis.

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Agnidipto Bhattacharya, Shinjini Ghosh, Atreyee Biswas, Sujay Kr. Biswas. 2026-09-24. Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity. https://arxiv.org/abs/2609.31776

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