# Quantum gravity effects in the infrared: a theoretical derivation of the low-energy fine structure constant and mass ratios of elementary particles

@article{Singh2022QuantumGE,
title={Quantum gravity effects in the infrared: a theoretical derivation of the low-energy fine structure constant and mass ratios of elementary particles},
author={Tejinder P. Singh},
journal={The European Physical Journal Plus},
year={2022}
}
• T. P. Singh
• Published 11 May 2022
• Physics
• The European Physical Journal Plus
We have recently proposed a pre-quantum, pre-space-time theory as a matrix-valued Lagrangian dynamics on an octonionic space-time. This theory oﬀers the prospect of unifying internal symmetries of the standard model with pre-gravitation. We explain why such a quantum gravitational dynamics is in principle essential even at energies much smaller than Planck scale. The dynamics can also predict the values of free parameters of the low energy standard model: these parameters arising in the…
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## References

SHOWING 1-10 OF 55 REFERENCES

### Why Do Elementary Particles Have Such Strange Mass Ratios?—The Importance of Quantum Gravity at Low Energies †

When gravity is quantum, the point structure of space-time should be replaced by a non-commutative geometry. This is true even for quantum gravity in the infra-red. Using the octonions as space-time

### Quantum theory without classical time: Octonions, and a theoretical derivation of the Fine Structure Constant 1/137

• T. P. Singh
• Physics
International Journal of Modern Physics D
• 2021
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

### Proposal for a New Quantum Theory of Gravity III: Equations for Quantum Gravity, and the Origin of Spontaneous Localisation

• Physics
Zeitschrift für Naturforschung A
• 2019
Abstract We present a new, falsifiable quantum theory of gravity, which we name non-commutative matter-gravity. The commutative limit of the theory is classical general relativity. In the first two

### Octonions, trace dynamics and noncommutative geometry—A case for unification in spontaneous quantum gravity

Abstract We have recently proposed a new matrix dynamics at the Planck scale, building on the theory of trace dynamics and Connes noncommutative geometry program. This is a Lagrangian dynamics in

### Trace dynamics and division algebras: towards quantum gravity and unification

Abstract We have recently proposed a Lagrangian in trace dynamics at the Planck scale, for unification of gravitation, Yang–Mills fields, and fermions. Dynamical variables are described by odd-grade

### Majorana neutrinos, exceptional Jordan algebra, and mass ratios for charged fermions

• Physics
Journal of Physics G: Nuclear and Particle Physics
• 2022
We provide theoretical evidence that the neutrino is a Majorana fermion. This evidence comes from assuming that the standard model and beyond-standard-model physics can be described through

### Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?

• Physics
• 2020
We have recently proposed a deterministic matrix dynamics at the Planck scale, for gravity coupled to Dirac fermions, evolving in the so-called Connes time. By coarse-graining this dynamics over time

### Exceptional Quantum Algebra for the Standard Model of Particle Physics

• I. Todorov
• Physics, Mathematics
Springer Proceedings in Mathematics & Statistics
• 2020
The exceptional euclidean Jordan algebra of 3x3 hermitian octonionic matrices, appears to be tailor made for the internal space of the three generations of quarks and leptons. The maximal rank