English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The non perturbative guiding center transformation is extended to therelativistic regime and takes into account electromagnetic fluctuations. Themain solutions are obtained in covariant form: the gyrating particle and theguiding particle solutions, both in gyro-kinetic as in MHD orderings. Moreover,the presence of a gravitational field is also considered. The way to introducethe gravitational field is original and based on the Einstein conjecture on thefeasibility to extend the general relativity theory to include electromagnetismby geometry, if applied to the extended phase space. In gyro-kinetic theory,some interesting novelties appear in a natural way, such as the exactness ofthe conservation of a magnetic moment, or the fact that the gyro-phase istreated as the non observable fifth dimension of the \emph{Kaluza-Klein} model.Electrodynamic becomes non local, without the inconsistency of self-energy.Finally, the gyrocenter transformation is considered in the presence ofstochastic e.m. fluctuations for explaining quantum behaviors via Nelson'sapproach. The gyrocenter law of motion is the \emph{Schr\"odinger} equation.

journal of modern physics

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