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Twist-Deformed Lorentzian Heisenberg-Algebras

Florian Koch
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Abstract

The Moyal-Weyl quantization procedure is embedded into the twist formalism of vector fields on phase space. Double application of twists provide most general deformations of Minkowskian Heisenberg-algebras and corresponding quantizations of the Lorentz-algebra. Such deformations deliver high-energy extensions of standard relativistic quantum mechanics. These are required to obtain minimal uncertainty properties for high-energy spacetime measurements that standard quantum mechanics lacks. The procedure of double twist application is outlined. We give an instructive and genuine example.

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Florian Koch. 2006-08-10. Twist-Deformed Lorentzian Heisenberg-Algebras. https://arxiv.org/abs/hep-th/0608064

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