When identical particles cease to be indistinguishable: violation of statistics in quantum spacetime

Fuente: arXiv
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Autori principali: Bortolotti, Nicola, Curceanu, Catalina, Marciano, Antonino, Piscicchia, Kristian
Natura: Preprint
Pubblicazione: 2026
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author Bortolotti, Nicola
Curceanu, Catalina
Marciano, Antonino
Piscicchia, Kristian
author_facet Bortolotti, Nicola
Curceanu, Catalina
Marciano, Antonino
Piscicchia, Kristian
contents Quantum gravity may modify the fundamental symmetries that govern identical particles. In particular, noncommutative spacetime frameworks predict deformations of Bose and Fermi statistics. Here we develop a relativistic quantum field theory based on the most general oscillator algebra compatible with $θ$-deformed Poincaré symmetry. This construction generalizes twisted statistics to a class of quon-like deformations allowing non-involutive particle exchange. We show that the resulting theory is consistent at both the free and interacting levels and derive its implications for atomic systems. Purely twisted statistics predicts Pauli-forbidden atomic transitions at rates incompatible with experiments. By contrast, a class of quon deformations suppresses such processes by powers of the noncommutativity scale, but only if superselection rules between permutation-symmetry sectors are violated. This implies an effective breakdown of particle indistinguishability and provides theoretical motivation for high-precision experimental tests of the Pauli exclusion principle.
format Preprint
id arxiv_https___arxiv_org_abs_2603_25552
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle When identical particles cease to be indistinguishable: violation of statistics in quantum spacetime
Bortolotti, Nicola
Curceanu, Catalina
Marciano, Antonino
Piscicchia, Kristian
High Energy Physics - Theory
High Energy Physics - Phenomenology
Quantum gravity may modify the fundamental symmetries that govern identical particles. In particular, noncommutative spacetime frameworks predict deformations of Bose and Fermi statistics. Here we develop a relativistic quantum field theory based on the most general oscillator algebra compatible with $θ$-deformed Poincaré symmetry. This construction generalizes twisted statistics to a class of quon-like deformations allowing non-involutive particle exchange. We show that the resulting theory is consistent at both the free and interacting levels and derive its implications for atomic systems. Purely twisted statistics predicts Pauli-forbidden atomic transitions at rates incompatible with experiments. By contrast, a class of quon deformations suppresses such processes by powers of the noncommutativity scale, but only if superselection rules between permutation-symmetry sectors are violated. This implies an effective breakdown of particle indistinguishability and provides theoretical motivation for high-precision experimental tests of the Pauli exclusion principle.
title When identical particles cease to be indistinguishable: violation of statistics in quantum spacetime
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.25552