Theories equivalent with theory of everything all derivable from it, and it derivable from them all?
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This is a sentiment market, never closing exept as NO, as it is open-ended how many equivalent formulations there can be out there. Though of course any rigorously proven counterexample would be a NO.

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Aargh. I can see i am going to be regularly deleting the AI derived clarifications of this question in the description

I'm guessing "no" because to me a theory of everything is a theory that fits all of our observations, not a theory that verifiably figures out how the universe actually works at every level.

So in principle it should be possible to reach that goal with vastly different and incompatible approaches, much like different polynomials can be drawn through the same points.

I'm not a physicist or a mathematician, but I'm curious about these things.

@adonisds to support your viewpoint you could derive the equivalent of the most refined copernican derived model via epicycle theory with the toolbox of fourier transforms

@adonisds the counterargument would be that the theory of everything could never be a limited theory explaining a limited set of phenomena but (not arguing it is true but arguing it could be posited) coherent with an exhaustive ontology. That is to say the phenomena we have are'nt limited.

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