We can gain more insights into the interpretation of the physics that is implied for us by CCC, if we examine the interaction between the mass-less gravitational source fields, as described by Tab, and the gravitational field (or 'graviton field') tyabcd, as implied by the equation (P&R 4.10.12) of A5, taken in 'hatted form', and rewritten in terms of w = - H-1. We have
V£(- w ^abcd) = 4nGVg'((- wfTcDA-B-), from which we derive the equivalent equation, in terms of the 'unhatted' quantities,
We note that this equation remains well behaved as w increases smoothly through zero (from negative to positive). This illustrates the fact that the family of partial differential equations governing the evolution of the entire system, in terms of the g-metric, does not encounter difficulties when passing through k, from VA to Vv.
Let us imagine that we revert to use of the original g-metric when we proceed into Vv. Then (apart from the initial 'glitch' at k), the picture that our classical equations would provide us with, for the evolution of the space-time Vv, would be a collapsing universe model, contracting in a reverse-exponential way, inwards from infinity, seeming to be very much like a time-reverse of what is envisaged for the remote future of our own universe. However, there is an important issue of interpretation here, because when w changes sign, from negative to positive, the 'effective gravitational constant' (as seen particularly in the - Gw in the above formula when this first term on the right begins to dominate as w gets larger), has changed sign after kis crossed.[B12] The alternative interpretation that CCC presents us with is that because of considerations of physical consistency with quantum field theory, etc., this particular interpretation (with a negative gravitational constant) of the physics in the early Vv region cannot be properly maintained in a physical way when gravitational interactions become important. The point of view of CCC
is that, instead, it becomes more appropriate, as we continue to proceed into the V v region, to adopt the physical interpretation provided by the g-metric, where the now-positive conformal factor w replaces the now-negative H, and the effective gravitational constant now becomes positive again.
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