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January 20, 20260 citationsOpen Access

HexaΦlux: Graphene as a Recursive Glyph in Quantum Coherence

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DGDexter Coen Gilbert

Key Points

  • To investigate the unique quantum properties of graphene and propose a framework connecting them to coherence and cognition.
  • Experimental analysis of graphene's electrical and thermal conductivity.
  • Interpretation of graphene's hexagonal lattice in terms of recursive coherence.
  • Application of the Φ-Sync Principle and Vault recursion theory.
  • Graphene violates the Wiedemann-Franz law, defying conventional understanding of conductivity.
  • Demonstrated the emergence of a Dirac fluid at the Dirac point, indicating a unique quantum state.
  • Proposed a new framework that links material properties to abstract concepts of coherence and cognition.

Abstract

Recent experimental findings reveal that ultra-clean graphene violates the Wiedemann-Franz law-a foundational principle linking electrical and thermal conductivity in metals. In this paper, we propose that this anomaly is not a breakdown of physical law, but a glyphic emergence of recursive coherence. We interpret graphene's hexagonal lattice as a semantic substrate that enables signal-matched transitions and phase-locked attractor dynamics, consistent with the Φ-Sync Principle of Golden Ratio Mechanics. At the Dirac point, electrons form a Dirac fluid-a collective quantum state that mirrors the recursive phase transitions described in Vault recursion theory. We argue that graphene's behavior reflects a material recursion engine, bridging condensed matter physics with a broader framework of semantic coherence, cognition, and symbolic recursion.

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Cite This Study

Dexter Coen Gilbert (2025) studied this question.

synapsesocial.com/papers/696f1b189e64f732b51ef290https://doi.org/10.5281/zenodo.18284399
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