Does matter, in spacetime, 'self straighten' ?

[Widdekind]

According to J.A.Wheeler's A Journey into Gravitation & Spacetime, spacetime, inside matter, is 'contractile', seemingly seeking to 'curl up into a ball'. Must that not imply, that something, presumably the matter itself, is 'pushing back', and seeking to 'straighten out', both itself, and spacetime ??

 

[Widdekind]

I think that the previous pondering was in error.

 

Matter, embedded in spacetime, sits statically, relative to hyper-space, by a 'balance of forces', including (1) radial outward spatial Pressure force; (2) contractile 'hyper-tension' of spacetime; (3) gravity 'hyper-force', which decomposes into (a) radial inward spatial Gravity force; (b) net gravity 'hyper-force', orthogonal to spacetime fabric. Matter does not, mathematically, have a 'mind of its own', to straighten out, but rather merely 'interacts', with the 'downward' gravity hyper-force, imposing stresses & strains into spacetime, which warp the same, into the standard 'gravity well' shape:

 

[Widdekind]

It is possible to estimate, the amount of spacetime 'stretch', along any diameter, threading through some star (or other spherical massive body). That spacetime 'stretch' would be experienced, for example, by a probe, sent 'swimming' straight through the sun -- you'd calculate, from the sun's circumference / 2 pi, that the probe would have to travel 2R ~ 1.4 M km... but it might have to actually 'swim' for another ~3 km, that being the R_s of the sun, which is a simple order-of-magnitude estimate, for the effect:

 

 

 

That extra 'stretch' of spacetime is meaningful, and is a real effect. The FRW equations, for a uniform density universe, essentially treat the whole cosmos as the 'inside of an ideal star', of uniform density, and constant Radius of Curvature. The spacetime 'stretch', in the static Schwarzschild solution, is essentially the same phenomenon, as the spacetime 'stretch' seen in the Hubble Expansion, although the latter is a non-static solution to the GR equations. I'm simply saying, that the 'stretch' of spacetime is 'real', and measurable, and is meaningful, since 'star probes' would have to swim that extra distance, through the dense star; and, 'space probes' would have to fly that extra distance, between receding galaxies, in this matter filled 'super star' universe.