Quantum Braided Poincar\'E Group
J. Rembielinski
TL;DR
This paper introduces a novel quantum-braided deformation of the Poincaré group and Minkowski space-time, exploring its mathematical structure and defining quantum metrics within this framework.
Contribution
It presents the first detailed construction and analysis of a quantum-braided Poincaré group and introduces quantum metrics in q-Minkowski space.
Findings
The quantum-braided Poincaré group has a well-defined global and local structure.
A new concept of quantum metrics in q-Minkowski space is proposed.
The deformation provides a consistent mathematical framework for quantum space-time symmetries.
Abstract
A new deformation of the of the Poincar\'e group and of the Minkowski space-time is given. From the mathematical point of view this deformation is rather quantum-braided group. Global and local structure of this quantum-braided Poincar\'e group is investigated. A kind of ``quantum metrics'' is introduced in the -Minkowski space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Algebraic structures and combinatorial models