# Quantum spacetime and deformed relativistic kinematics

### APA

Relancio, J. (2020). Quantum spacetime and deformed relativistic kinematics. Perimeter Institute. https://pirsa.org/20120026

### MLA

Relancio, Javier. Quantum spacetime and deformed relativistic kinematics. Perimeter Institute, Dec. 16, 2020, https://pirsa.org/20120026

### BibTex

@misc{ pirsa_PIRSA:20120026, doi = {10.48660/20120026}, url = {https://pirsa.org/20120026}, author = {Relancio, Javier}, keywords = {Quantum Gravity}, language = {en}, title = {Quantum spacetime and deformed relativistic kinematics}, publisher = {Perimeter Institute}, year = {2020}, month = {dec}, note = {PIRSA:20120026 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

In this seminar, I will consider a deformed kinematics that goes beyond special relativity as a way to account for possible low-energy effects of a quantum gravity theory that could lead to some experimental evidences. This can be done while keeping a relativity principle, an approach which is usually known as doubly (or deformed) special relativity. In this context, I will give a simple geometric interpretation of the deformed kinematics and explain how it can be related to a metric in maximally symmetric curved momentum space. Moreover, this metric can be extended to the whole phase space, leading to a notion of spacetime. Also, this geometrical formalism can be generalized in order to take into account a space-time curvature, leading to a momentum deformation of general relativity. I will explain theoretical aspects and possible phenomenological consequences of such deformation.