Singh, T.P. Quantum Theory without Classical Time: Octonions, and a Theoretical Derivation of the Fine Structure Constant 1/137. International Journal of Modern Physics D 2021, 30, doi:10.1142/s0218271821420104.
Singh, T.P. Quantum Theory without Classical Time: Octonions, and a Theoretical Derivation of the Fine Structure Constant 1/137. International Journal of Modern Physics D 2021, 30, doi:10.1142/s0218271821420104.
Singh, T.P. Quantum Theory without Classical Time: Octonions, and a Theoretical Derivation of the Fine Structure Constant 1/137. International Journal of Modern Physics D 2021, 30, doi:10.1142/s0218271821420104.
Singh, T.P. Quantum Theory without Classical Time: Octonions, and a Theoretical Derivation of the Fine Structure Constant 1/137. International Journal of Modern Physics D 2021, 30, doi:10.1142/s0218271821420104.
Abstract
There must exist a reformulation of quantum field theory which does not refer to classical time. We propose a pre-quantum, pre-spacetime theory, which is a matrix-valued Lagrangian dynamics for gravity, Yang-Mills fields, and fermions. The definition of spin in this theory leads us to an eight dimensional octonionic space-time. The algebra of the octonions reveals the standard model; model parameters are determined by roots of the cubic characteristic equation of the exceptional Jordan algebra. We derive the asymptotic low energy value 1/137 of the fine structure constant, and predict the existence of universally interacting spin one Lorentz bosons, which replace the hypothesised graviton. Gravity is not to be quantized, but is an emergent four-dimensional classical phenomenon, precipitated by the spontaneous localisation of highly entangled fermions.
Keywords
Quantum theory; Octonions; Fine structure constant; Trace dynamics; Standard model; Non-commutative geometry
Subject
Physical Sciences, Acoustics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
