Discussion on Consequences of Undecidability in Physics on the Theory of Everything

This paper discusses the ۲۰۲۵ study by Faizal et al. (published in the Journal of Holographic Applied Physics, Volume ۵, Issue ۲, Pages ۱۰–۲۱). It fully endorses the core conclusions put forward in the original work: purely algorithmic frameworks (such as algorithmic quantum gravity, FQG) are inadequate for formulating a Theory of Everything (ToE), as supported by the theoretical foundations of Gödel, Tarski, and Chaitin; the "Meta-Theory of Everything" (MToE) provides an effective solution to address undecidable phenomena in physics; and the universe cannot be a product of simulation. However, this paper dissents from the original authors' pursuit of a "complete and consistent" effective theory. Given that completeness and consistency are sometimes mutually exclusive in nature, it advocates for a reframing of the MToE. The revised framework should prioritize logical consistency while explicitly abandoning the unattainable requirement of completeness.

کلیدواژه ها:

Meta-Theory of Everything (MToE) ، Unified Complex System Theory (UCST) ، Logical Completeness ، Empirical Completeness ، Completeness-Logical Consistency Trade-off ، Algorithmic Limitations (Gödel/Tarski/Chaitin Theorems)