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Tom,
you wrote "I strongly agree. Self-similarity between brain mechanics and nature's mechanics at every scale implies the absence of boundaries between physics and consciousness. The changing universe is therefore compelled to be metastable in its (possibly infinite) dynamical configurations that we observe at chosen scales.
More than philosophy, this view is comprehensible in mathematical language."
Tom that sounds so wrong to me. I can agree that the "mechanism" of the universe and the "mechanism" of brain function have similarity but consciousness, the product of the brain function, is something different. I think it might be helpful to consider instead a computer. The function of the computer is possible because of the same physics that is occurring in the outside world but the fantasy game that is generated from the inputs and information in the software is not the same as the external world. It might even be designed to have different rules of physics operating on that fantasy realm. If as you are implying there is no boundary between simulation and the real world, we would be in the situation, depicted in children's stories, where game or fantasy characters emerge from the computer into the room or players disappear into the computer world where the characters are real.
There is clearly a boundary between the computer simulated world and the external real world just as there is a boundary between the biologically simulated world and the external real world. I have for many years now been calling that boundary the Prime Reality Interface. There is lots of evidence that consciousness is a simulation, such as the optical illusions and If one is schizophrenic the imaginings of the mind are, during a psychotic break, subjectively indistinguishable from a healthy minds simulation of reality. Conscious reality is a fabrication. The fabrication can be represented mathematically but that does not make it any less an emergent fabrication rather than the foundational reality.
If by "universe" you are referring to the fabricated output of the processing of received data then yes the fabrication on screen or paper will have some similarity to the raw data from which it was made that had an independent existence in the external environment prior to it being received. Is that potential data -The universe- *in its entirety* though or just the the "veil"? I would say the photon data can persist for a very long time but it does not automatically follow that the unseen sources of data are also unchanging in form ,configuration and position in the universe.