Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity
Abstract
In this study, the power law form of f(Q) gravity (f(Q)=Q+mQn) 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 ΛCDM 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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BibTeX
@misc{bhattacharya2026observationanal,
title = {{Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity}},
author = {Agnidipto Bhattacharya and Shinjini Ghosh and Atreyee Biswas and Sujay Kr. Biswas},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31776},
eprint = {2609.31776},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31776},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Observationanal and Thermodynamic Analysis of Power Law form of $f (Q)$ gravity
AU - Agnidipto Bhattacharya
AU - Shinjini Ghosh
AU - Atreyee Biswas
AU - Sujay Kr. Biswas
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.31776
UR - https://arxiv.org/abs/2609.31776
AB - 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 ΛCDM 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.
ER -