23–27 Jun 2025
Università degli Studi Federico II, Napoli
Europe/Rome timezone

Unified Covariant GUP and Momentum‑Space Geometry

25 Jun 2025, 15:40
15m
1st floor, room 4 (University of Naples "Federico II")

1st floor, room 4

University of Naples "Federico II"

Corso Umberto I, 40 - 80138 Napoli (NA)

Speaker

Raghvendra Singh (Ariel University Israel)

Description

We present a unified theoretical framework that combines a covariant Generalized Uncertainty Principle with a dynamical momentum‑space geometry. Using normal‑coordinate methods, we show that the extrinsic curvature of constant‑momentum hypersurfaces induces covariant deformations of the canonical commutators, yielding noncommutative position operators. Simultaneously, the momentum‑space metric is elevated to a dynamical field governed by an Einstein–Hilbert–type action. When coupled to quantum matter fields, this construction produces systematically modified kinetic operators and dispersion relations within a self‑consistent, covariant setting.

Author

Raghvendra Singh (Ariel University Israel)

Presentation materials

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