Quantum Gravity 292.994: Velocity versus Acceleration Domination (Canada)



From Osher Doctorow

From 292.993, noting that force is the time rate of change of momentum
and that momentum loses influence while the acceleration part of force
(or force divided by mass) gains influence as the Universe shifts from
gravitation-dominated to accelerated-dominated (which appears to be
either periodic or alternating), it would seem that velocity rather
than acceleration should be implicated in initial Universe scenarios.

This appears to agree with Canadian researchers' paper "Velocity
dominated singularities in the cheese slice universe," Dan Gian and
Charles C. Dyer, University of Toronto Canada, arXiv: 0810.1680 v1 [gr-
qc] 9 Oct 2008, 11 pages. Lest it be thought that the cheese slice
universe is an esoteric model, it actually may be better than the FLRW
Universe usually assumed in Cosmology in accounting for
inhomogeneities observed in small and large scale structure and
observed layering in distribution of galaxies.

To make a long story short, a certain formulation of the Einstein
Field Equations in which spatial derivatives are "zeroed out" but not
time derivatives, yields velocity term dominated solutions (VTD), and
this property asymptotically (AVTD) seems to be inherited by
singularities and by matching together exact solutions using what are
called Darmois matching conditions - that is to say, cosmologies are
constructed by matching together different spacetimes and asking what
singularity structure inherits from matching and whether late time
matching implies in any sense well behaved matching at singularities.

Osher Doctorow
.



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