Gravidynamics, spinodynamics and electrodynamics within the framework of gravitational quantum field theory

Abstract

By noticing the fact that the charged leptons and quarks in the standard model are chirality-based Dirac spinors since their weak interaction violates maximally parity symmetry though they behave as Dirac fermions in electromagnetic interaction, we show that such a chirality-based Dirac spinor possesses not only electric charge gauge symmetry U(1) but also inhomogeneous spin gauge symmetry WS(1,3) = SP(1,3)$⋊$W${}^{1,3}$, which reveals the nature of gravity and spacetime. The gravitational force and spin gauge force are governed by the gauge symmetries $W^{1,3}$ and SP(1,3), respectively, and a biframe spacetime with globally flat Minkowski spacetime as base spacetime and locally flat gravigauge spacetime as a fiber is described by the gravigauge field through emergent non-commutative geometry. The gauge-geometry duality and renormalizability in gravitational quantum field theory (GQFT) are carefully discussed. A detailed analysis and systematic investigation on gravidynamics and spinodynamics as well as electrodynamics are carried out within the framework of GQFT. A full discussion on the generalized Dirac equation and Maxwell equation as well as Einstein equation and spin gauge equation is made in biframe spacetime. New effects of gravidynamics as extension of general relativity are particularly analyzed. All dynamic equations of basic fields are demonstrated to preserve the spin gauge covariance and general coordinate covariance due to the spin gauge symmetry and emergent general linear group symmetry GL(1,3,R), so they hold naturally in any spinning reference frame and motional reference frame.

arXiv commentTo be published, 72 pages, typos corrected, references added, two new subsections added in section VI, i.e.: "Hidden gauge formalism of the action with flowing unitary gauge and the gauge-geometry duality with emergent general linear group symmetry GL(1,3,R)" and "Finiteness and renormalizability of gravitational quantum field theory"

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Cited by in corpus (7)

• Sensitivity of Space-based Gravitational-Wave Interferometers to Ultralight Bosonic Fields and Dark Matter
• Advancing Space-Based Gravitational Wave Astronomy: Rapid Parameter Estimation via Normalizing Flows
• Linear dynamics and classical tests of the gravitational quantum field theory
• Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
• A general theory of the standard model and the revelation of the dark side of the universe
• Post-Newtonian Tests of Gravitational Quantum Field Theory with Spin and Scaling Gauge Symmetry
• Frame-dragging effects in a gravitational quantum field theory