Testing a single fundamental principle that yields general relativity, particle physics, and gauge anomaly cancellation

The Lagrangians of general relativity and of the standard model of particle physics with massive neutrinos follow from a single fundamental principle based on fluctuating strands of Planck radius. The principle yields the observed gauge interactions with all their properties, the observed spectrum of elementary particles with all their quantum numbers, and eliminates all alternatives.  The principle also yields unique and running values for the elementary particle masses and coupling constants that are predicted to agree with experiments when calculated with precision.  In particular, possibly for the first time, the fundamental principle explains the principle of least action and implies the equality of inertial and gravitational mass.  The principle also predicts the absence of unified evolution equations and of new observable effects of relativistic quantum gravity.  Together with the lack of gauge anomalies, the principle yields the equality of the proton and the positron charge.