Reply to "Discussion on the Faizal-Krauss-Shabir-Marino Argument about the Theory of Everything"

We clarify that we present a non-anthropocentric framework in which nature itself instantiates both algorithmic and non-algorithmic truths. While computable structures such as solutions of the Einstein equations are realized independently of human description, we argue that G\"odelian non-algorithmic truths are likewise objectively actualized in physical reality. Although the Lucas-Penrose argument is superficially similar, it concerns the nature of human consciousness, whereas our claim is fundamentally different in scope. We apply this reasoning to the structure of reality itself, independent of human consciousness. Consequently, objections based on the possible inconsistency of human reasoning are not applicable here, since assuming nature itself to be inconsistent is not tenable, as it would collapse the distinction between true and false physical claims.

کلیدواژه ها:

Algorithmic completeness ، Non-computable structures ، Semantic truth in physics ، Axiomatizability limits ، Foundations of physical law ، Mathematical realism