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  "slug": "universal-hamiltonian-as-process-verb",
  "title": "Universal Hamiltonian as Process Verb",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The ontological status of quantum mechanics remains suspended between two mutually exclusive grammatical categories: the continuous, reversible “Verb” of unitary evolution and the discrete, irreversible “Noun” of the measured state. This paper reconciles this tension by mapping the physics of time-evolution to the mathematics of Dedekind self-maps and Process Algebra. We demonstrate that while Hamiltonian flow preserves information perfectly (Von Neumann entropy S=0), the imposition of a measurement constraint generates significant entropy (S ≈ 2.66) and an irreversible arrow of time. The findings reveal a structural isomorphism between the physical “collapse” of the wavefunction and the mathematical “Critical Point” of a Dedekind self-map. We propose that the “Noun” (particle/state) is not a fundamental entity but a “precipitation” generated at the limit of the “Verb’s” self-mapping process (Corazza, 2018). This reframes the observer not as an external agent, but as the structural locus of this critical transition. [...]",
  "abstract_markdown": "The ontological status of quantum mechanics remains suspended between two mutually exclusive grammatical categories: the continuous, reversible “Verb” of unitary evolution and the discrete, irreversible “Noun” of the measured state. This paper reconciles this tension by mapping the physics of time-evolution to the mathematics of Dedekind self-maps and Process Algebra. We demonstrate that while Hamiltonian flow preserves information perfectly (Von Neumann entropy \\(S=0\\)), the imposition of a measurement constraint generates significant entropy (\\(S \\approx 2.66\\)) and an irreversible arrow of time. The findings reveal a structural isomorphism between the physical “collapse” of the wavefunction and the mathematical “Critical Point” of a Dedekind self-map. We propose that the “Noun” (particle/state) is not a fundamental entity but a “precipitation” generated at the limit of the “Verb’s” self-mapping process (Corazza, 2018). This reframes the observer not as an external agent, but as the structural locus of this critical transition. [...]",
  "date": "2026-01-01",
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        "description": "The ontological status of quantum mechanics remains suspended between two mutually exclusive grammatical categories: the continuous, reversible “Verb” of unitary evolution and the discrete, irreversible “Noun” of the measured state. This paper reconciles this tension by mapping the physics of time-evolution to the mathematics of Dedekind self-maps and Process Algebra. We demonstrate that while Hamiltonian flow preserves information perfectly (Von Neumann entropy S=0), the imposition of a measurement constraint generates significant entropy (S ≈ 2.66) and an irreversible arrow of time. The findings reveal a structural isomorphism between the physical “collapse” of the wavefunction and the mathematical “Critical Point” of a Dedekind self-map. We propose that the “Noun” (particle/state) is not a fundamental entity but a “precipitation” generated at the limit of the “Verb’s” self-mapping process (Corazza, 2018). This reframes the observer not as an external agent, but as the structural locus of this critical transition. [...]",
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