Gödel’s Incompleteness and the Universe as an Evolving Information System

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Abstract

Gödel’s Incompleteness Theorems demonstrate that any sufficiently expressive mathematical system contains true statements that cannot be proven within the system itself. If the universe is fundamentally an evolving information structure, then incompleteness is not just a feature of mathematics—it is a fundamental constraint on reality itself. This paper explores how the principles of information drift, quantum measurement, black hole paradoxes, extra dimensions, and consciousness align with Gödel’s theorem. We argue that the universe behaves as an incompleteness-driven system, where no single formalism can fully encapsulate all physical truths. This suggests that a "Theory of Everything" may be an impossibility, as the very act of defining a complete physical framework introduces new undecidable aspects.Plus essays on Free Will, Maxwell's Demon, the Measurement Problem and Turing Halting Problem through the lens of Information Drift and Stabilisation Theory

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