Property values

TL;DR

This paper introduces a novel framework using anticommuting variables assigned to properties of fields, enabling a unified description of particles, generations, and an extended relativity incorporating gauge and Higgs fields.

Contribution

It proposes a new mathematical approach linking properties to fundamental particles and extends relativity to include property space with gauge and Higgs fields.

Findings

All fundamental particles can be described with five property variables.

The occurrence of particle generations is explained through this property-based framework.

A generalized relativity includes gauge fields in the extended space-time-property sector.

Abstract

By ascribing a complex anticommuting variable $\zeta$ to each basic {\em property} of a field, it is possible to describe all the fundamental particles as combinations of only five $\zeta$ and understand the occurrence of particle generations. An extension of space-time $x$ to include property then specifies the `where-when and what' of an event and it allows for a generalized relativity wherein the gauge fields lie in the $x - \zeta$ sector and the Higgs fields in the $\zeta - \zeta$ sector.