## 75 Citations

### Listening to Celestial Algebras

- Physics, MathematicsUniverse
- 2022

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

- Mathematics
- 2021

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

- MathematicsScientific 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

- Physics
- 2022

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)

- Physics
- 2018

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

- PhysicsFront. Phys.
- 2018

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

- Mathematics
- 2021

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

- Physics, Mathematics
- 2021

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

- Physics
- 2020

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…

## References

SHOWING 1-10 OF 66 REFERENCES

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- PhysicsNature
- 2007

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

### Unity of All Elementary Particle Forces

- Physics
- 1974

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

- Physics
- 2010

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

- Philosophy
- 2005

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

- Mathematics
- 1995

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

- Physics
- 2014

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…