| viXra.org > Mathematical Physics > viXra:2510.0031 |
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| viXra.org > Mathematical Physics > viXra:2510.0031 |
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Mathematical Physics |
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Authors: Julio Jaramillo
This work introduces a unified operator framework for quantum field theory through the emph{generalized relativistic wave differential operator} $D^{mnlambda}_{alphabeta}$. By appropriate parameter choices, this operator encompasses the Klein-Gordon, Dirac, and non-monogenic operators, revealing their fundamental connections. We propose a emph{quantum field tensor} $Psi_{sigmahotau}$ with binary activation indices for scalar, spinor, and gauge fields, generating all possible interactions while preserving Lorentz covariance. The framework incorporates gauge invariance through minimal coupling and yields both Proca and Maxwell equations as special cases. This approach provides a powerful operator-based unification of quantum field theory with applications to higher-spin theories.
Comments: 13 Pages.
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[v1] 2025-10-06 14:42:59
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