| general principle of equivalence
Einstein used a specific equivalence principle, which stated that the laws of physics in a gravitational field are identical to those in a local accelerating coordinate system. This was done in 1915. He used this principle to formulate his general theory of relativity. Now, 90 years later, we can extend this principle by further generalization into applications for various fields and not just for the gravity field alone. But in order to give an example, we can say that the gravitational field is replaced by the more general concept of a Higgs field (or mass field). The accelerated frame is replaced using a directional field of constant absolute acceleration with constant changes in directions but of constant magnitudes through a given complete closed path of the local infinitesimal motion (LIM).
Einstein did not say just how much local can we get in applying this principle but as implied by the field equations, it can be applied to black holes and as far as one can approach to the nearest space and time domain of the BB singularity itself. Similar to Newton’s, his locality is limited by the existence of mass points. For all practical purposes, a falling apple is practically a mass point compared to the entire mass of the earth. So, for the apple-earth system, the potential field is that of the earth and the accelerating frame is that of the apple. The application of this can even be incorporated into the GPS satellite in order to synchronize its time differential factors between satellite’s clock and the clock on the earth’s surface.
A general statement of a general principle of equivalence can, now, be stated that says: the LIM exists along infinitesimal closed path where its interactions with the vacuum field allow the existence of zero-mass gravitons. Furthermore, these gravitons can only move along the trajectories of the closed paths distinguishing these from the classical free falling motions, which are along straight lines of n-Euclidean geometry.
These closed paths are therefore conserved ans consequently also conserving all gravitons: gravitons cannot be recreated or annihilated.  | 
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