If we accept the classical differentiability of spacetime, for all cosmological time, a critical value of that expansion may prevent the sea of virtual particles from ever recombining. This would convert "virtual" mass to "measurable" mass, keeping the critical density constant and thus solve the horizon problem of the Standard Model.
This possibility may also admit an explanation of why the CMBR is so uniform. Galaxies would not "wink out" one by one, and a "time averaged" Cosmological Constant and Gravitational Constant may both be necessary consequences.
Theophanes thanks for the references you posted.
The "differentiability" in the classical sense was meant to imply that there could be no tear in spacetime. Some Mathematical Physicists such as Hawking and Tipler believe that there are no black holes, and hence no punctures in spacetime. And yes, my conjecture is not understood in the known principles in GR.
Working on the Heisenberg formulation (delta_P)*(delta_r), I can formulate an equivalent relationship (delta_E)*(delta_t). Using the units of the current Hubble constant, Ho, in kps/Mpc, (equivalently a frequency), by inverting it, I can get the units of time, which is essentially a delta_t, since it is a recordation from T0 (the BB).
Now, I still have to get an adequate value for delta_E, perhaps by using the basic principles of adiabatic expansion. But it seems to me that in the far future, there will be a cosmological proper time in the current experimental observation of an accelerated expansion, whence delta_t will prevent virtual particle recombination. And the Universe's expansion will slow down, due to further added mass from the vacuum, and smooth out a time averaged lambda and G.
I do know that before he perished last year, Prof. Nash was working on revisions to QM. I had briefly toyed with the idea of incorporating chaotic EM potentials into the Schroedinger equations but found the resulting equation not differentiable. And as you might guess, probably difference-method amenable and perhaps fractal. Fortunately, I did study Fractal Measure Theory at one time, and maybe this will give me the impetus to re-explore it in light of my conjecture.
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