This paper presents a theoretical framework combining quantum gravity foundations with Tsallis non-extensive holography within Rastall modified gravity, yielding a rich phenomenology for dark energy, black hole thermodynamics, and early universe cosmology.
Key findings
Tsallis holographic dark energy in Rastall gravity can mimic the predictions of the standard ΛCDM model.
The Rastall parameter γ and the Tsallis non-extensivity parameter δ form a complementary parameter space constrained by observational data.
The unified framework provides a viable and observationally testable avenue toward reconciling quantum mechanics with gravitation.
Limitations & open questions
Further observational data is needed to more tightly constrain the parameter space.
The theoretical implications require further exploration, particularly in the context of quantum gravity.