Fermions, bosons, and locality in special relativity with two invariant scales

Details Fermions, bosons, and locality in special relativity with two invariant scales Fermions, bosons, and locality in special relativity with two invariant scales

2002-06-30

arxiv.org/abs/gr-qc/0207004v4

Proceedings of the Fourth Tegernsee International Conference on Particle Physics Beyond the Standard Model, BEYOND 2003, Castl

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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Scientific paper

We present a Master equation for description of fermions and bosons for special relativities with two invariant scales (c and lambda_P). We introduce canonically-conjugate variables (chi^0, chi) to (epsilon, pi) of Judes-Visser. Together, they bring in a formal element of linearity and locality in an otherwise non-linear and non-local theory. Special relativities with two invariant scales provide all corrections, say, to the standard model of the high energy physics, in terms of one fundamental constant, lambda_P. It is emphasized that spacetime of special relativities with two invariant scales carries an intrinsic quantum-gravitational character.

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