2004/02/01 by D. V. Ahluwalia-Khalilova, D. V. AHLUWALIA-KHALILOVA · 10 citations
Physics and Astronomy · #Boson #Fermion #General relativity #Invariant (physics) #Locality #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Spacetime #Theory of relativity #gr-qc #hep-th #nucl-th
paper · pdf · doi:10.1142/s0218271804004633
published in International Journal of Modern Physics D 13(02), 335-345 (World Scientific) · Int. J. Mod. Phys. D (in press). Extended version of a set of two informal lectures given in "La Sapienza" (Rome, May 2001)
openalex publication_date 2004/02/01 · arxiv created 2004/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a Master equation for description of fermions and bosons for special relativities with two invariant scales, [Formula: see text], (c and λ P ). We introduce canonically-conjugate variables (χ 0 ,χ) to (∊,π) 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, λ 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 [Formula: see text]. In addition, we remark that the most natural and physically viable [Formula: see text] 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 [Formula: see text], the notion of spacetime is expected to be deeply intertwined with specific properties of the test particle.