Fermions, bosons, and locality in special relativity with two invariant scales
Abstract
We present a Master equation for description of fermions and bosons for special relativities with two invariant scales (c and lambdaP). We introduce canonically-conjugate variables (chi0, 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, lambdaP. It is emphasized that spacetime of special relativities with two invariant scales carries an intrinsic quantum-gravitational character.
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