In Part I we derived Einstein’s field equations directly from the axioms of the Panvitalistic Theory (PVT) using the complete set of 12 volume operators and the fundamental constraint \(\delta V = 0\). In this Part II we subject the derivation to a stringent observational test by calculating the perihelion precession of Mercury from first principles.

 

Starting from the 12-operator algebra, we derive the effective orbit equation in the solar gravitational field. The perihelion advance emerges as a purely geometric consequence of the angular deviation \(\delta\theta\) from orthogonality in the underlying 6D volume structure. No spacetime curvature is postulated. The dimensioned ratio \(\pi \equiv T/L\) replaces the irrational curvature parameter of general relativity.

 

For Mercury we obtain a perihelion precession of exactly 43.0 arcseconds per century — in precise agreement with both high-precision observations and the general-relativistic prediction. This result confirms that the PVT derivation of general relativity is not only formally consistent but also empirically accurate in the weak-field regime.

 

We further demonstrate that the PVT framework is geometrically more fundamental: it requires neither an external time parameter nor an isotropic curved spacetime. The apparent “curvature” of general relativity is revealed as an artefact of the historical assumption of external time and the use of a dimensionless, irrational \(\pi\). The Panvitalistic Theory replaces this with a rational, anisotropic 6D geometry derived from first principles of measurement.