Einstein crystals in Snyder and Snyder-de Sitter noncommutative backgrounds

Abstract:We investigate the behavior of Einstein crystals in noncommutative backgrounds described by the Snyder and Snyder-de Sitter models. Possible novel effects, which may arise in realistic systems such as diamond crystals, are analyzed within a thermodynamical framework. We show that noncommutativity influences the key thermodynamic quantities, including internal energy and specific heat. These corrections can be directly related to modifications of the underlying uncertainty relations, of the generalized uncertainty principle (GUP) and generalized extended uncertainty principle (GEUP) types.

General Relativity and Quantum Cosmology (gr-qc); Materials Science (cond-mat.mtrl-sci); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

arXiv:2607.15760 [gr-qc]

(or arXiv:2607.15760v1 [gr-qc] for this version)

https://doi.org/10.48550/arXiv.2607.15760 arXiv-issued DOI via DataCite (pending registration)

Phys.Rev.D 113 (2026) 11, 116028

https://doi.org/10.1103/7th8-m12t DOI(s) linking to related resources