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June 22, 20260 citationsOpen Access

Beyond the Big Bang: A Structural Interpretation of the Hawking–Lennox Debate Through the Theory of Axiomatic Necessity

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CBClaudio Bresciano

Key Points

  • The paper explores whether the laws of physics can explain their own existence and proposes a structural interpretation of this problem.
  • Analyzed the debate between Stephen Hawking and John Lennox as a case study.
  • Applied the Theory of Axiomatic Necessity to interpret physical laws and their existence.
  • Examined parallels with Gödel's incompleteness theorem and other operational systems.
  • Identified the Failure of Local Closure phenomenon in deriving physical laws from physical processes.
  • Demonstrated that physical laws serve as admissibility conditions rather than products of the universe.
  • Unified the insights gained with limitations found in various complex systems like legal frameworks and AI.

Abstract

Can the laws of physics explain the existence of the universe? Modern cosmology has made remarkable progress in describing the evolution of spacetime from its earliest observable stages. Yet a deeper philosophical question remains unresolved: can the very laws governing physical reality also account for their own existence? This paper argues that the famous debate between Stephen Hawking and John Lennox illustrates not primarily a conflict between science and theology, but a structural limitation common to all sufficiently rich operational systems. Using the Theory of Axiomatic Necessity (TNA), we propose that physical laws function as admissibility conditions rather than operational products of the universe itself. Under this interpretation, attempts to derive the existence of physical laws solely from physical processes instantiate a general phenomenon termed Failure of Local Closure. This structural perspective unifies analogous limitations previously identified in Gödel's incompleteness theorem, formal languages, legal systems, semantic frameworks, and artificial intelligence.

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Cite This Study

Claudio Bresciano (2026) studied this question.

synapsesocial.com/papers/6a38d152da1bad9caca3103chttps://doi.org/10.5281/zenodo.20778657
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