The paper introduces Tsallis Holographic Rastall Cosmology (THRC), a theoretical framework that combines Tsallis non-extensive thermodynamics, holographic dark energy, and Rastall modified gravity to resolve the Hubble tension. The THRC model predicts specific deviations from ΛCDM at intermediate redshifts, offering testable predictions for next-generation surveys.
Key findings
THRC combines Tsallis thermodynamics, holographic dark energy, and Rastall gravity to address the Hubble tension.
The model predicts a phantom-like effective dark energy component that reconciles disparate Hubble constant measurements.
Detailed derivations of modified Friedmann equations and phase-space analysis of the model's dynamical behavior are presented.
A comprehensive observational validation strategy using current and forthcoming cosmological data is proposed.
Limitations & open questions
The model's predictions need to be tested against next-generation cosmological surveys.
Further research is required to fully understand the implications of non-conservation of the energy-momentum tensor in Rastall gravity.