Towards an axiomatic model of fundamental interactions at Planck scale
Abstract
By exploring possible physical sense of notions, structures, and logic in a class of noncommutative geometries, we try to unify the four fundamental interactions within an axiomatic quantum picture. We identify the objects and algebraic operations which could properly encode the formation and structure of sub-atomic particles, antimatter, annihilation, CP-symmetry violation, mass endowment mechanism, three lepton-neutrino matchings, spin, helicity and chirality, electric charge and electromagnetism, as well as the weak and strong interaction between particles, admissible transition mechanisms (e.g., muon to muon neutrino, electron, and electron antineutrino), and decays (e.g., neutron to proton, electron, and electron antineutrino).
Keywords
Cite
@article{arxiv.1406.3273,
title = {Towards an axiomatic model of fundamental interactions at Planck scale},
author = {Arthemy V. Kiselev},
journal= {arXiv preprint arXiv:1406.3273},
year = {2014}
}
Comments
Sequel to arXiv:1304.0234 [math-ph]; a physics-oriented companion to the talks given at Int. conference "Symmetries of discrete systems and processes" (15-19 July 2013, CVUT Decin, Czech Republic) and V Conference of young scientists "Problems of Theoretical Physics" (24-27 December 2013, Bogolyubov ITP NAS, Kiev, Ukraine), 12 pages (6 figures)