Academic Journal

Emergence of noncommutative space–time in pre-geometric gravity.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Emergence of noncommutative space–time in pre-geometric gravity.
Συγγραφείς: Addazi, Andrea1,2,3,4 (AUTHOR) andrea.addazi@lngs.infn.it
Πηγή: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. Oct2026, p1. 23p.
Θεματικοί όροι: *Noncommutative geometry, *Quantum gravity, *Symmetry breaking
Περίληψη: We develop a noncommutative extension of pre-geometric gravity based on a BF theory with gauge group SO(1,4) or SO(2,3). The theory is formulated on a topological manifold without presupposing any Space–time metric, with coordinates promoted to noncommutative operators via the Moyal star product. Four constrained BF structures reconstruct the complete gravitational sector, including the Einstein–Hilbert action, cosmological constant and topological terms, after spontaneous symmetry breaking. We construct a noncommutative dictionary relating pre-geometric fields to emergent geometric quantities, and show how the Seiberg–Witten map organizes θ-deformed corrections while preserving internal gauge symmetries. Matter couplings are consistently implemented, providing a framework for embedding the Standard Model. We demonstrate that the noncommutativity parameter can emerge dynamically from the B-field through an adjoint Higgs field, tying the noncommutative scale to the symmetry breaking scale. This mechanism naturally regulates UV/IR mixings through the topological UV completion, potentially offering a UV finite completion of noncommutative quantum gravity. Importantly, the breaking of Space–time Lorentz invariance in favor of an exact internal gauge Lorentz symmetry leads to emergent violations of the spin-statistics theorem, with strong phenomenological implications including energy-dependent Pauli Exclusion Principle Violations that could be tested in precision experiments. [ABSTRACT FROM AUTHOR]
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