I like the thought experiment. Lots of people can find some critique of details, but it is fun, anyway. The absolute frozen time concept is interesting from a dia-magnetism type of idea, I think. I have a couple of thoughts on black holes anyway, and one is that matter ceases to exist as anything but energy beyond the event horizon, so the "mass" of a black hole is really a manifestation that we see in normal space as physical objects, but inside a black hole, there is basically just light, perpetually traveling in a curved path, but so dense that it appears to be solid as far as anything outside the event horizon is concerned.
The "information" of things that fall in simply becomes part of that energy, and scrambled (infinitely "encrypted", if you will), so it can never be decoded from the future Big Bang it will eventually produce. Think of the opposite of the background Quantum Foam producing particles: inside the Black Hole, all particles return to the zero point field, being ever more compacted as total potential in a total energy space (if space is a bleeding 1/∞ construct, then a black hole is an absorbing ∞/1 construct, and all of the detectable matter in the universe is just the noise between these two states.
Back to the diamagnetism: the trick, then, is to devise an experiment to reduce time for something down to absolute immobility (or the speed of light in space) and then see if it also becomes able to resist changes to its time reference by external means.
Just as a superconductor is suspended over a magnet and resists movement.
Can something resist changes in its Timeframe (separately from its spaceframe)? Does the timeframe of any object come from external or internal sources? Both?