Unitary theory of quantum mechanics and general relativity

What is it about?

This is a reformulation of quantum mechanics, where a quantum particle is no longer described by a single wave function/dynamic equation (Schrödinger), but by two conjugate wave packets/dynamic equations, in the two conjugate spaces of the coordinates and momentum, according to the general theory of relativity. In the coordinate space, the wave velocities are equal to the distribution velocity described by the corresponding wave packet, so that it can be understood as the amplitude function of a distribution of matter, quantized by the equality of the total distribution mass with the mass as a dynamic characteristic of this matter. In the momentum space, the group velocity takes the form of the Lagrange equation, thus describing the matter dynamics. We obtain equations for the spinor states, the particle and the graviton spins, and describe the particle dynamics in a spherical gravitational field, including a black hole. I present the fundamentals of the general theory of relativity in detail, and describe the matter dynamics of a black hole. At the formation of a black hole, a quantum particle in the center of this black hole is crushed up in the momentum space, exploding in the coordinate space, with a velocity much larger than the light velocity, as a quantum particle at the Schwarzschild boundary is crushed up in the coordinate space, with a momentum bringing back any particle randomly leaving this boundary. In this framework, our universe appears as a huge black hole, beginning with a huge explosion of the central matter, the Big Bang, which, with the matter around, travels towards the Schwarzschild boundary, but reaching this boundary only in an infinite time.

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Why is it important?

Quantum mechanics is understood as a consequence of the general theory of relativity, describing the particles as distributions of matter, with amplitude functions as wave packets including in their time dependent phases all the dynamic characteristics: the mass, the gravitational field, the electromagnetic field, and presumptively, any other possible interactions. The Lorentz force and the Maxwell equations are understood as characteristics of a field interacting with a quantum particle. The spin of a quantum particle and the graviton spin are obtained as matter motions, with the invariants obtained from the relativistic time-space invariant as constants of motion. The dynamic equations intrinsically include gravitational interaction. This theory is entirely based on the theory of relativity, essentially on the invariance of the time-space interval and the curvature of the time-space hypersurface by the presence of matter, without any additional/external/unphysical/un understandable hypotheses, which could raise philosophical problems/difficulties.

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