no calculations here, just logic:
QUOTE]
As far as I can tell no a single statement you imagine is correct. I'm not saying there is no 'logic' in your thinking, in fact I can't make any sense of much of that post, but it seems you are extending classical analogies to relativistic black holes. That doesn't apply. It won't work.
Are you aware spacetime inside a black hole becomes very distorted...that is very, very curved. So you can't use classical measures of time and distance. Those are based on Eucledean space and a typical BH is described by Schwarzschild coordinates.
The volume of a BH is NOT the classical 4/3[pi]r
3...nor is the surface area the classical 4[pi]r
2 There is generally believed to be NO matter inside...although some may be infalling at a particular time. Did you know the curvature of a charged BH is different from that of one with no charge...because of the additional energy of an electromagnetic field.
Are you aware the absolute BH horizon begins to grow before matter reaches it? Are you aware that the 'radius' inside a BH is a time dimension, not a distance. That the singularity is a point in time not in space? Are you aware the relative horizon jumps discontinuously with changes in matter/energy? That a newborn BH exhibits violent, chaotic tidal oscillations of a BKL singularity...and these gradually disappear as the BH ages?
These are all things I don't think are available by any convenient logic; they flow from mathematical models of GR.
Here are a few descriptions I keep to remind me how strange BH actually are:
Kip Thorne says (Lecture in 1993 Warping Spacetime, at Stephan Hawking's 60th birthday celebration, Cambridge, England,)
The flow of time slows to a crawl near the horizon, and beneath the horizon time becomes so highly warped that it flows in a direction you would have thought was spacial: it flows downward towards the singularity. That downward flow, in fact, is why nothing can escape from a black hole. Everything is always drawn inexorably towards the future, and since the future inside a black hole is downward, away from the horizon, nothing can escape back upward, through the horizon.
Black Hole Complementarity
Leonard Susskind, THE BLACK HOLE WAR (his arguments with Stephen Hawking)
(p238) Today a standard concept in black hole physics is a stretched horizon which is a layer of hot microscopic degrees of freedom about one Planck length thick and a Planck length above the event horizon.
(p258) From an outside observer’s point of view, an in falling particle gets blasted apart….ionized….at the stretched horizon…before the particle crosses the event horizon. At maybe 100,000 degrees it has a short wavelength and any detection attempt will ionize it or not detect it!
http://www.jimhaldenwang.com/black_hole.htm
{Inside the horizon:}
It is the coordinate with the minus sign that determines the meaning of “timelike. Notice how the minus sign has moved from the t coordinate to the r coordinate. This means that inside the event horizon, r is the timelike coordinate, not t. ... According to GR, inside a black hole, time is defined by the r coordinate, not the t coordinate.
In fact horizons are spheres of coordinate timelike singularities not ones of classical volume.