The Poincare mass operator in terms of a hyperbolic algebra
S. Ulrych
TL;DR
This paper presents a novel representation of the Poincare mass operator using a hyperbolic algebra, unifying the derivation of the Dirac and Maxwell equations within a single mathematical framework.
Contribution
It introduces a Clifford algebra-based formulation of the Poincare mass operator that links fundamental equations of physics through hyperbolic algebra.
Findings
Quadratic Dirac equation derived from the algebraic structure
Maxwell equations obtained within the same framework
Unified mathematical approach to key physical equations
Abstract
The Poincare mass operator can be represented in terms of a Cl(3,0) Clifford algebra. With this representation the quadratic Dirac equation and the Maxwell equations can be derived from the same mathematical structure.
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