Non-Associative Calculus: Octonionic Path Integrals, Cauchy-Fueter Regularity, and the Fundamental G₂ Monopole Field
| Paper: 211 | Portfolio A — Core Engine |
Abstract
Develops the first rigorous calculus for octonions and exceptional algebras: derivatives, integrals, and ODEs. The associator barrier is resolved via right-division norm. The G₂ monopole field emerges as the fundamental solution.