Noncommutative Space-time from Quantized Twistors
arXiv:1311.7498 · doi:10.1142/9789814590112_0025
Abstract
We consider the relativistic phase space coordinates (x_μ,p_μ) 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.
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