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Dirac's Equation Explained

Dynamic Vacuum Field Theory explain how the Dirac equation and particle masses are derived from the topological structure and nonlinear dynamics of vacuum phase and amplitude. In this framework, fermions are viewed as stable topological defects, with their masses determined by quantized phase angles and vacuum stiffness. Numerical derivations show that the theory can reproduce the Standard Model mass hierarchy for leptons and quarks by fixing parameters to the heaviest generation. Furthermore, the theory bridges quantum mechanics and general relativity by linking vacuum density to gravity and inertia. This ontological shift provides a causal basis for wave-particle duality and spin while avoiding the mathematical infinities of standard field theories.