Noncommutative Space-time from Quantized Twistors
High Energy Physics - Theory
2017-08-23 v1
Abstract
We consider the relativistic phase space coordinates (x_{\mu},p_{\mu}) as composite, described by functions of the primary pair of twistor coordinates. It appears that if twistor coordinates are canonicaly quantized the composite space-time coordinates are becoming noncommutative. We obtain deformed Heisenberg algebra which in order to be closed should be enlarged by the Pauli-Lubanski four-vector components. We further comment on star-product quantization of derived algebraic structures which permit to introduce spin-extended deformed Heisenberg algebra.
Cite
@article{arxiv.1311.7498,
title = {Noncommutative Space-time from Quantized Twistors},
author = {Jerzy Lukierski and Mariusz Woronowicz},
journal= {arXiv preprint arXiv:1311.7498},
year = {2017}
}
Comments
7 pages; talk given at the Conference in Honour of 90-th Birthday of Freeman Dyson at Nanyang Technical University, Singapore,26-29.08.2013; to be published in Int.Journ.Mod.Phys.A