Testing a single fundamental principle that yields general relativity, particle physics, and thermodynamics

The Lagrangians of general relativity and of the standard model of
particle physics with massive neutrinos follow from a single law of
nature based on fluctuating strands of Planck radius.  This single
fundamental principle contains thermodynamics, yields the observed
gauge interactions with all their properties, yields the observed
spectrum of elementary particles with all their quantum numbers, and
eliminates all alternatives.  Reidemeister's theorem limits the number
of possible Yang-Mills interactions.  The fundamental principle also
yields unique and running values for the elementary particle masses
and coupling constants that are near the observed values and 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, implies the equality of
inertial and gravitational mass, and solves the lepton mass hierarchy
problem.  Together with the lack of gauge anomalies, the fundamental
principle yields the equality of the proton and the positron charge.
The fundamental principle predicts the absence of unified evolution
equations and of new observable effects of relativistic quantum
gravity.  Numerous predictions allow testing the fundamental principle
in the near future.