Authors: Carlton Frederick
A previous publication in Phys. Rev. D, (Part A of this paper) pointed out that vacuum energy fluctuations implied mass fluctuations which implied curvature fluctuations which then implied fluctuations of the metric tensor. The metric fluctuations were then taken as fundamental and a stochastic space-time was theorized. A number of results from quantum mechanics were derived. This paper (Part B), in addressing some of the difficulties of Part A, required an extension of the model: In so far as the fluctuations are not in space-time but of space-time, a granular model was deemed necessary. For Lorentz invariance, the grains have constant 4-volume. Further, as we wish to treat time and space similarly, we propose fluctuations in time. In order that a particle not appear at different points in space at the same time, we find it necessary to introduce a new model for time where time as we know it is emergent from an analogous coordinate, tau-time, τ, where ' τ -Time Leaves No Tracks' (that is to say, in the sub-quantum domain, there is no 'history'). The model provides a 'meaning' of curvature as well as a (loose) derivation of the Schwartzschild metric without need for the General Relativity field equations. The purpose is to fold the seemingly incomprehensible behaviors of quantum mechanics into the (one hopes) less incomprehensible properties of space-time.
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