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  "slug": "topological-hydrodynamics-and-the-spectral-gap",
  "title": "TOPOLOGICAL HYDRODYNAMICS AND THE SPECTRAL GAP",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
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  "abstract": "Standard quantum field theory conceptualizes the vacuum as a probabilistic void, yet phenomenological isomorphism with superfluid Helium-3 suggests a deeper hydrodynamic ontology. While this topological substrate theoretically supports analog computation via vorticity, the practical realization is constrained by the Wallstrom objection regarding quantization and the thermodynamic cost of phase coherence. This study establishes a rigorous mapping between number-theoretic factorization and the spectral analysis of a topological superfluid, governed by the Ford-Shor divisor density bounds. By deriving the “Thermodynamic Swamping Limit” through categorical simulation of seven physical regimes, the analysis demonstrates that terrestrial analog systems invariably fail due to viscous decoherence and thermal noise (Δ E < k_B T). The findings reveal that the “Universe as Calculator” thesis is valid strictly at the Planck scale, redefining Dark Energy as the dissipative metabolic cost of cosmic information processing.",
  "abstract_markdown": "Standard quantum field theory conceptualizes the vacuum as a probabilistic void, yet phenomenological isomorphism with superfluid Helium-3 suggests a deeper hydrodynamic ontology. While this topological substrate theoretically supports analog computation via vorticity, the practical realization is constrained by the Wallstrom objection regarding quantization and the thermodynamic cost of phase coherence. This study establishes a rigorous mapping between number-theoretic factorization and the spectral analysis of a topological superfluid, governed by the Ford-Shor divisor density bounds. By deriving the “Thermodynamic Swamping Limit” through categorical simulation of seven physical regimes, the analysis demonstrates that terrestrial analog systems invariably fail due to viscous decoherence and thermal noise (\\(\\Delta E < k_B T\\)). The findings reveal that the “Universe as Calculator” thesis is valid strictly at the Planck scale, redefining Dark Energy as the dissipative metabolic cost of cosmic information processing.",
  "date": "2025-12-01",
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