Jacek,
Thanks for the explanations. We do agree that we do not expect a 100% (and forever) relation of theory to reality, so "certainty" is impossible. But as I explained above, we can hope for and work toward an anomaly-free theory which would give us greater faith in the "probability" of correct understanding.
I understood your use of "illusion" to mean "idea" and we do agree on this point.
I now understand the idea behind your experiment. Thanks!
I do believe I understand space-time as "the carrier of the Bit", but I view it as the carrier of (packets of) energy and, as I noted in my essay, it is not a 'bit' of information until it triggers some threshold that essentially 'records' the information in some structure. The structure may be as simple as a hydrogen atom or as complex as DNA or neural network. There are no "bits" traveling through space-time, there is only energy registering at the end of the travel. As far as I can see the net results are the same, but the lack of independent existence of the 'bit' means it could never "give rise to" physical reality, as Wheeler suggested. It has meaning only in the context of a pre-existing physical reality. On the other hand, the information *does* give rise to our mental images or ideas of physical reality, which your diagram seems to allude to.
You and I are largely in agreement on these issues except for the Platonic math and the reality of the 'bit' before it registers. As I note above, we agree that "space-time is not the background, but the material of matter and energy itself..." and are close to agreement on "the self-organized space-time in the form of [waves] being physical world and perceptual experience (mental world) at the same time".
In agreement on these issues we are close to a unification of ideas. Thanks for sharing your ideas.
Best regards,
Edwin Eugene Klingman