A Lagrangian for the quantionic field equation

TL;DR

This paper introduces a Lagrangian framework to derive the quantionic field equation in the Dirac gauge, providing a new theoretical foundation for understanding quantionic fields.

Contribution

It presents the first Lagrangian formulation for the quantionic field equation in the Dirac gauge, enabling derivation via the principle of stationary action.

Findings

Derived the quantionic field equation from the proposed Lagrangian.

Established a variational principle for quantionic fields in the Dirac gauge.

Provided a theoretical basis for future quantionic field theories.

Abstract

The purpose of this paper is to present a Lagrangian from which we can derive the quantionic field equation written in the Dirac gauge using the principle of stationary action.