Title: Quantum mechanics as a continuous matter dynamics

Biography:

Eliade Stefanescu is research professor at the Advanced Studies in Physics Institute of the Romanian Academy. He discovered a phenomenon of penetrability enhancement of a potential barrier by dissipative coupling, developed a microscopic theory of open quantum systems, discovered a physical principle and invented a device for heat conversion into usable energy, and produced a unitary quantum relativistic theory. He is member of American Chemical Society and of Academy of Romanian Scientists. He received the Prize of Romanian Academy for physics in 1983, the Gold Plate as a founding member of Academy of Romanian Scientists, and the Prize “Serban Titeica” in 2014 for the book Open Quantum Physics and Environmental Heat Conversion into Usable Energy, Sharjah (UAE): Bentham Science Publishers

Abstract

The starting point of this research is the fact that the conventional Schrödinger equation is contradictory to the fundamental Hamilton equations: a minus sign, essential for the energy conservation, is missing in the group velocity of a particle in the momentum space.The agreement of the quantum dynamics with the Hamilton equations is obtained only when the Hamiltonian in the wave packets representing a quantum particle is replaced by the Lagrangian. We consider a relativistic Lagrangian, as the relativistic principle of the time-space interval invariance is regarded as a relativistic quantum principle of invariance of the time dependent phase of a quantum particle. According to the general theory of relativity, any acceleration of a differential matter element in an extrinsic (non-gravitational) field is perpendicular to its velocity. This means that the dynamics of a distribution of matter, with a density positively defined as product of the total mass with the square of a coordinate function, can be described by a Fourier series expansion of waves perpendicular to the velocity. However, such a description makes sense only for a total mass, as integral of the particle density, equal to the mass in the Lagrangian in the time dependent phase of the wave packet – quantization condition. We consider black quantum particles with a Lagrangian containing only the relativistic term proportional to the particle mass, and ‘visible’ particles, with additional terms depending on the particle ‘charge’, and potentials interacting with this charge.For an electric field, with a vector potential conjugated to the spatial coordinates and a scalar potential conjugated to time, from the Hamilton equations as group velocities in the coordinate and momentum spaces, we derive the Lorentz force and the Maxwell equations. For a quantum particle in electromagnetic field, we derive relativistic equations depending on the rest mass and the particle momentum and velocity. For a quantum particle in gravitational field, we derive the Schwarzschild solution for the metric tensor in a central gravitational field. We show that although this solution has a singularity forbidding the passage of a black hole boundary, such a passage is possible for a quantum particle, where a differential matter element, as a part of a quantum particle, is joint to other matter elements and to other quantum particles which perturb the constant gravitational field considered in the Schwarzschild solution. In this theory, the Universe is considered as a distribution of ‘intrinsic’ matter characterized by a system of time-space coordinates, curved in a larger system of other coordinates, by a gravitational field of a distribution of ‘extrinsic’ matter of quantum particles. We derive the quantum particle dynamics in gravitation field, the spin of the intrinsic matter element interacting with a quantum particle we call ‘graviton’, and the spin of the extrinsic matter distribution of a quantum particle depending on the symmetry of the wave function describing this distribution.