Academic Journal
Emergence of noncommutative space–time in pre-geometric gravity.
| Τίτλος: | Emergence of noncommutative space–time in pre-geometric gravity. |
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| 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 |
| Βάση Δεδομένων: | Academic Search Index |
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