Dissipative Relativistic Bohmian Mechanics
R. Tsekov
TL;DR
This paper introduces a new relativistic Schrödinger equation and Bohmian mechanics framework, incorporating dissipation, to explore quantum entanglement's role in maintaining matter states and derives related dispersion relations.
Contribution
It presents a novel relativistic quantum framework with dissipation, extending Bohmian mechanics and deriving new dispersion relations.
Findings
Quantum entanglement uniquely sustains the fourth state of matter.
Derived a new relativistic Schrödinger equation and Bohmian mechanics.
Proposed three dissipative models with corresponding dispersion relations.
Abstract
It is shown that quantum entanglement is the only force able to maintain the fourth state of matter, possessing fixed shape at an arbitrary volume. Accordingly, a new relativistic Schrodinger equation is derived and transformed further to the relativistic Bohmian mechanics via the Madelung transformation. Three dissipative models are proposed as extensions of the quantum relativistic Hamilton-Jacobi equation. The corresponding dispersion relations are obtained.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Advanced Thermodynamics and Statistical Mechanics