Quantum Mechanics and General Relativity
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In this paper, we reformulate the quantum theory according to a more detailed understanding of the fundamental laws of Planck, Einstein, and de Broglie. In this framework, a quantum particle is described as a distribution of matter in the two conjugate spaces of the coordinates and momentum. The mass quantization of a quantum particle arises from the matter dynamics according to general relativity. From the propagation equations of the two wavefunctions, in the coordinate and momentum spaces, including the scalar and the vector potentials of an electromagnetic field, we obtain Lorentz’s force and Maxwell’s equations. By the application of this new theory to important problems of quantum field theory, quantum electrodynamics, flavor-dynamics, and chromodynamics, a unified theory of the four forces acting in nature is obtained. Based on Dirac’s formalism of general relativity, we describe the dynamics of a quantum particle in the gravitational field of a black hole, and propose a new model of our universe in full agreement with classical logic and general relativity. We show that the new wavefunctions of a quantum particle include the graviton spin, as a rotation of the gravitational potential dressing this particle, and the particle spin as a particle matter rotation.
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