Hi Christian,
I sure do agree that your statement ("Information tells physics how to work. Physics tells information how to flow") is compatible with the flow of partially ordered information over a continuous manifold of totally ordered information. I think it's even stronger than that -- it consummates Wheeler's simple explanation of general relativity ("Matter tells space how to curve; space tells matter how to move") by replacing the assumption of matter with the assumption of information, implying what we've long hoped for in a unified theory of physics, that space and time alone explain the origin and behavior of matter.
Personally, I long doubted that Hawking's remarkable work in black hole thermodynamics could bridge that gap -- because of Hawking's insistence on information loss. This conclusion sabotaged hope that general relativity and quantum mechanics can be smoothly united -- because it implies that there is no time continuum: information loss is equivalent to quantum entanglement and wavefunction collapse, so there's no profit in pursuing the relativity connection further.
When Hawking reversed his opinion (2001, I think, though I wasn't aware of it until a couple of years later) my enthusiasm for unification via a field theory was reignited -- coincident with some intense study of Perelman's proof of the Poincare Conjecture. It wasn't the proof so much that impressed me (hardly anyone thought the conjecture was false); it was the strategy (Thurston's geometrization conjecture). If the manifold of a 3-sphere (an event horizon in physical terms) can be continuously deformed and reformed, this differs from black hole thermodynamics -- how? If there is no singularity that cannot be extinguished in finite time, there is no naked singularity that is physical, and self organized fields account for all the physical effects we ascribe to matter. Furthermore, time symmetry is restored and black hole radiation (Hawking radiation) is a natural physical consequence of the geometry.
With your (Corda's) information-preserving construction at the black hole event horizon, we can now speak of a time-conserving information flow, that smoothly corresponds to the geometric flow central to Perelman's proof. Thus, the evolution from pure state to pure state at the event horizon preserves the symmetry of general relativity, without the assumption of an asymmetric field that led Einstein astray for many years. In my own conception, general relativity's model of a "finite and unbounded" universe -- conventionally considered as finite in time, i.e., bounded at the singularity of creation, and unbounded in space -- remains unchanged when transposed to a model finite in space and unbounded in time.
In the future I expect we will replace black hole thermodynamics with black hole informatics. I predict we will find that the self-similarity of information exchange at *any* event horizon from quantum to classical scales produces a continuous field of interacting waves to which particles owe their existence. Hey -- maybe it really is turtles all the way down. :-)
All best,
Tom
