Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry

Marco Valerio Battisti; Stjepan Meljanac

Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry

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arxiv 0812.3755 v3 pith:PMXLLLDQ submitted 2008-12-19 hep-th gr-qc

Marco Valerio Battisti , Stjepan Meljanac This is my paper · ORCID

classification hep-thgr-qc

keywords heisenbergnon-commutativerelationssnyderuncertaintyalgebrasarenabouncing

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We show that the Euclidean Snyder non-commutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty relations underlying deformed Heisenberg algebras. Considering the one-dimensional case in the minisuperspace arena, the bouncing Universe dynamics of loop quantum cosmology can be recovered.

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Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation
gr-qc 2026-07 conditional novelty 5.0 of 10

Fitting a GUP-deformed Friedmann equation to CC+Pantheon++DESI DR2 data gives β* = −0.086 with a 95% interval including zero; the negative preference vanishes under stricter perturbative cuts.

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