Non-Perturbative Guiding Center and Stochastic Gyrocenter Transformations:Gyro-Phase Is the Kaluza-Klein 5^(th) Dimension also for Reconciling General Relativity with Quantum Mechanics
作者机构：ENEAFusion and Nuclear Safety DepartmentC.R.FrascatiItaly
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2018年第9卷第4期
页 面：701-752页
基 金：This work has been carried out within the framework of the Nonlinear Energetic Particle Dy-namics(NLED)European Enabling Research Project WP 15-ER-01/ENEA-03 within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014-2018 under grant agreement No 633053.
主 题：Guiding Center Transformation Gyrocenter Transformation Kaluza-Klein General Relativity Higher Dimensions Stochastic Quantum Mechanics Schrodinger Equation Lorentz’s Force Law
摘 要：The non perturbative guiding center transformation is extended to the relativistic regime and takes into account electromagnetic fluctuations. The main solutions are obtained in covariant form: the gyrating particle and the guiding particle solutions, both in gyro-kinetic as in MHD orderings. Moreover, the presence of a gravitational field is also considered. The way to introduce the gravitational field is original and based on the Einstein conjecture on the feasibility to extend the general relativity theory to include electromagnetism by geometry, if applied to the extended phase space. In gyro-kinetic theory, some interesting novelties appear in a natural way, such as the exactness of the conservation of a magnetic moment, or the fact that the gyro-phase is treated as the non observable fifth dimension of the Kaluza-Klein model. Electrodynamics becomes non local, without the inconsistency of self-energy. Finally, the gyrocenter transformation is considered in the presence of stochastic e.m. fluctuations for explaining quantum behaviors via Nelson’s approach. The gyrocenter law of motion is the Schrödinger equation.
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