Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case

Abstract

We investigate the impact of the deformed phase space associated with the quantum Snyder space on microphysical systems. The general Fermi-Dirac equation of state and specific corrections to it are derived. We put emphasis on non-relativistic degenerate Fermi gas as well as on the temperature-finite corrections to it. Considering the most general one-parameter family of deformed phase spaces associated with the Snyder model allows us to study whether the modifications arising in physical effects depend on the choice of realization. It turns out that we can distinguish three different cases with radically different physical consequences.

arXiv comment15 pages; version accepted for publication in CQG

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• Constraining Palatini gravity with GR-independent equations of state for neutron stars
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Towards new relativistic doubly $\kappa$-deformed D=4 quantum phase spaces
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
• Einstein crystals in Snyder and Snyder-de Sitter noncommutative backgrounds