Authors: Jean Pierre Rukundo
The many velocity gauge fields interaction Lagrangian density is extended to a continuous spectrum Lagrangian then quantized and normalized. The Euler-Lagrange equation is transformed to the Yang-Mills field, integral and curvature form operators. The Yang-Mills field form operator quantization gives the equivalent Dirac equation, the integral form operator quantization gives perturbation series similar to the path integral formulation of Quantum mechanics and the curvature form operator is used to get the Einstein-Hilbert Lagrangian density; operators are quantized with mass eigenvalue. Finally, the normalization of the wave function gives a charged massive particle Lagrangian density with six representations.
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