Relativistic Coherent Vacuum Gravity Theory (rCVGT)

This work presents the full relativistic formulation of the Relativistic Coherent Vacuum Gravity Theory (rCVGT), extending the original Coherent Vacuum Gravity Theory (CVGT) into a covariant field-theoretic framework in which gravitational phenomena arise from the dynamical structure of the quantum vacuum.

In this framework the gravitational vacuum is described by four macroscopic fields: a vacuum order parameter describing the coherent state of the vacuum, a coherence magnitude measuring the degree of vacuum ordering, a relativistic vacuum-flow four-vector describing directional organization of the vacuum, and a physical time-rate field describing the local rate of physical processes. Together these fields determine the effective vacuum stress–energy responsible for gravitational behaviour. In regimes where a geometric description is appropriate, the spacetime metric can be interpreted as a macroscopic representation of the underlying vacuum dynamics.

The theory reproduces Newtonian gravity and the original CVGT behaviour in the appropriate limits while predicting a range of new gravitational phenomena. These include coherence-induced repulsive gravity, dark-matter-like halo structures without particle dark matter, time-dependent cosmic acceleration driven by evolving vacuum coherence, and refractive or polarization-dependent propagation of waves through structured vacuum regions.

In the strong-gravity regime the theory predicts that black holes correspond to coherence-saturated vacuum configurations with nonsingular interiors. In these states the vacuum becomes highly ordered and the internal physical time-rate is strongly suppressed. The framework also yields a Penrose-type gravitational self-energy associated with differences in vacuum coherence structure, providing a physically motivated mechanism for wave-function collapse.

The document presents the covariant action, field equations, weak-field limits, cosmological dynamics, and observational predictions of the theory. Extended appendices include example potentials, halo solutions, stability analyses, perturbation theory, and an effective electromagnetic extension describing vacuum-induced polarization rotation.

rCVGT therefore provides a unified and testable extension of gravitational theory in which dark-energy-like acceleration, dark-matter-like structures, and wave-propagation phenomena emerge naturally from the coherent structure of the vacuum.