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)