Special relativity with two invariant scales: Motivation, Fermions, Bosons, Locality, and Critique
| dc.creator | Ahluwalia-Khalilova, D. V. | |
| dc.date | 2004-02-04 | |
| dc.date.accessioned | 2026-07-07T11:30:05Z | |
| dc.date.available | 2026-07-07T11:30:05Z | |
| dc.description | We present a Master equation for description of fermions and bosons for special relativities with two invariant scales, SR2, (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. In an addenda, we also comment on the physical importance of a phase factor that the whole literature on the subject has missed and present a brief critique of SR2. In addition, we remark that the most natural and physically viable SR2 shall require momentum-space and spacetime to be non-commutative with the non-commutativity determined by the spin content and C, P, and T properties of the examined representation space. Therefore, in a physically successful SR2, the notion of spacetime is expected to be deeply intertwined with specific properties of the test particle. | |
| dc.description | Int. J. Mod. Phys. D (in press). Extended version of a set of two informal lectures given in "La Sapienza" (Rome, May 2001) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0402023 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0402023 | |
| dc.identifier | Int.J.Mod.Phys.D13:335-346,2004 | |
| dc.identifier | doi:10.1142/S0218271804004633 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196913 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Nuclear Theory | |
| dc.title | Special relativity with two invariant scales: Motivation, Fermions, Bosons, Locality, and Critique | |
| dc.type | text |