Generalized Cotangent Geometry and Its Applications in Quantum Gravity

8 Jul 2025, 12:00
20m
Amphithéâtre Charpak (LPNHE)

Amphithéâtre Charpak

LPNHE

4 Place Jussieu 75005 Paris Tour 22
Oral contribution WG1 High Energy QG Theory 2

Speaker

Dr Lucia Santamaria-Sanz (Universidad de Burgos)

Description

One of the main challenges in theoretical physics is the unification of general relativity and quantum field theory, leading to the development of a consistent theory of quantum gravity. In this talk, we explore how the deformation of special relativistic kinematics can provide a framework to describe residual effects of quantum gravity at low energies. We analyze how introducing a curved momentum space allows for the formulation of a deformed relativistic kinematics and how this geometric construction can be extended to curved spacetimes through the formalism of generalized Hamilton spaces. We discuss the constraints imposed by observer invariance on momentum conservation, the natural emergence of noncommutative spacetimes, and the privileged role of Snyder kinematics within this geometric framework. Finally, we present the implications for developing an effective theory of quantum gravity at low energies.

Working Group WG1 - High Energy QG Theory

Author

Dr Lucia Santamaria-Sanz (Universidad de Burgos)

Presentation materials

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