Standard model physics from an algebra

@article{Furey2016StandardMP,
  title={Standard model physics from an algebra},
  author={C. Furey},
  journal={arXiv: High Energy Physics - Theory},
  year={2016}
}
  • C. Furey
  • Published 16 November 2016
  • Physics, Education
  • arXiv: High Energy Physics - Theory
This is a PhD thesis written in 2015 as part of a degree within the University of Waterloo. 

Listening to Celestial Algebras

In this essay, we immerse into the framework of normed division algebras as a suitable arena to accommodate the standard model of elementary particles, and we explore some applications to cosmology.

An Exceptional Dark Matter from Cayley–Dickson Algebras

In this article I propose a new criterion to individuate the origin and the properties of the dark matter particle sector. The emerging candidates come from a straightforward algebraic conjecture:

An exceptional G(2) extension of the Standard Model from the correspondence with Cayley–Dickson algebras automorphism groups

  • N. Masi
  • Mathematics
    Scientific reports
  • 2021
In this article I propose a new criterion to extend the Standard Model of particle physics from a straightforward algebraic conjecture: the symmetries of physical microscopic forces originate from

A unified field theory from a complexified quaternion-octonion Dirac equation

It is set manifest an underlying algebraic structure of Dirac equation and solutions, in terms of C ‘ 2 Clifford algebra projectors and ladder operators. From it, a scheme is proposed for constructing

A demonstration that electroweak theory can violate parity automatically (leptonic case)

We bring to light an electroweak model which has been reappearing in the literature under various guises.1−5 In this model, weak isospin is shown to act automatically on states of only a single

Thinking Non Locally: The Atemporal Roots of Particle Physics

Developing an approach defined in previous papers a correspondence between elementary particles and elements of a particular set of directed graphs said "glyphs" is made explicit. These can, in turn,

Potential applications of modular representation theory to quantum mechanics

There is a unique finite group that lies inside the 2-dimensional unitary group but not in the special unitary group, and maps by the symmetric square to an irreducible subgroup of the 3-dimensional

Options for a finite group model of quantum mechanics

There are four finite groups that could plausibly play the role of the spin group in a finite or discrete model of quantum mechanics, namely the four double covers of the three rotation groups of the

Trace dynamics, and a ground state in spontaneous quantum gravity

We have recently proposed a Lagrangian in trace dynamics, to describe a possible unification of gravity, Yang-Mills fields, and fermions, at the Planck scale. This Lagrangian for the unified entity

Division algebraic symmetry breaking

...

References

SHOWING 1-10 OF 66 REFERENCES

The standard model of particle physics

A concise introduction to the Standard Model of fundamental particle interactions is presented.

Particle models and noncommutative geometry

Unity of All Elementary Particle Forces

Strong, electromagnetic, and weak forces are conjectured to arise from a single fundamental interaction based on the gauge group SU(5).

Building up spacetime with quantum entanglement

In this essay, we argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a non-perturbative description of quantum

Causal sets and the deep structure of spacetime

The causal set approach to quantum gravity embodies the concepts of causality and discreteness. This article explores some foundational and conceptual issues within causal set theory.

Introduction to octonion and other non-associative algebras in physics

1. Introduction 2. Non-associative algebras 3. Hurwitz theorems and octonions 4. Para-Hurwitz and pseudo-octonion algebras 5. Real division algebras and Clifford algebra 6. Clebsch-Gordon algebras 7.

A new action for simplicial gravity in four dimensions

We develop a proposal for a theory of simplicial gravity with spinors as the fundamental configuration variables. The underlying action describes a mechanical system with finitely many degrees of

Unified description of quarks and leptons

Unified Theories for Quarks and Leptons Based on Clifford Algebras

Charge quantization from a number operator

...