Compounding Fields and Their Quantum Equations in the Trigintaduonion Space

TL;DR

This paper explores 32-dimensional trigintaduonion fields to model fundamental interactions, predicting potential new particles and providing a mathematical framework analogous to known quantum fields.

Contribution

It introduces a novel mathematical approach using trigintaduonions to describe and unify various fundamental interactions and predicts new particles beyond current theories.

Findings

Predicted existence of new particles in nature.

Established mathematical analogy with known quantum fields.

Provided insights into sub-quark and intermediate particles.

Abstract

The 32-dimensional compounding fields and their quantum interplays in the trigintaduonion space can be presented by analogy with octonion and sedenion electromagnetic, gravitational, strong and weak interactions. In the trigintaduonion fields which are associated with the electromagnetic, gravitational, strong and weak interactions, the study deduces some conclusions of field source particles (quarks and leptons) and intermediate particles which are consistent with current some sorts of interaction theories. In the trigintaduonion fields which are associated with the hyper-strong and strong-weak fields, the paper draws some predicts and conclusions of the field source particles (sub-quarks) and intermediate particles. The research results show that there may exist some new particles in the nature.