Modular architecture of isospin, color, and generation

TL;DR

This paper proposes a modular algebraic framework that constructs fundamental particle properties like charge, isospin, and color through successive Grassmann-algebra formations, offering a new perspective on particle symmetries.

Contribution

It introduces a novel hierarchical Grassmann-algebra-based architecture to model the emergence of particle quantum numbers and symmetries.

Findings

Provides a unified algebraic structure for charge, isospin, and color.

Demonstrates how successive algebraic formations can model particle properties.

Suggests a new approach to understanding fundamental symmetries in particle physics.

Abstract

Starting from the vacuum, iterated Grassmann-algebra formation consecutively introduces vector spaces and groups with the structure first of charge, then of isospin, then of color.