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arXiv · 1311.7498

Noncommutative Space-time from Quantized Twistors

Jerzy Lukierski·Mariusz Woronowicz
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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.

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Jerzy Lukierski, Mariusz Woronowicz. 2013-11-29. Noncommutative Space-time from Quantized Twistors. https://doi.org/10.1142/9789814590112_0025

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