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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that if we start with the free Dirac Lagrangian, and demand localphase invariance, assuming the total phase coming from two independentcontributions associated with the charge and mass degrees of freedom of chargedDirac particles, then we are forced to introduce two massless independentvector fields for charged Dirac particles that generate all of electrodynamicsand gravitodynamics of Heaviside's Gravity of 1893 or Maxwellian Gravity andspecify the charge and mass currents produced by charged Dirac particles. Fromthis approach we found: (1) a new set of Maxwell-Lorentz equations, (2) twoequivalent sets of gravito-Maxwell-Lorentz equations (3) a gravitationalcorrection to the standard Lagrangian of electrodynamics, which, for a neutralmassive Dirac particle, reduces to the Lagrangian for gravitodynamics, (4)attractive interaction between two static like masses, contrary to theprevalent view of many field theorists and (5) gravitational waves emanatingfrom the collapsing process of self gravitating systems carry positive energyand momentum in the spirit of Maxwell's electromagnetic theory despite the factthat the intrinsic energy of static gravitoelectromagnetic fields is negativeas dictated by Newton's gravitational law and its time-dependent extensions toHeaviside-Maxwellian Gravity (HMG). Fundamental conceptual issues in linearizedEinstein's Gravity are also discussed.

A New Set of Maxwell-Lorentz Equations and Rediscovery of Heaviside-Maxwellian (Vector) Gravity from Quantum Field Theory