{
  "id": "oai:papers.qnfo.org:bosonic-barrier-penetration-and-the-combinatorial-landscape-of-cellular-automata",
  "slug": "bosonic-barrier-penetration-and-the-combinatorial-landscape-of-cellular-automata",
  "title": "Bosonic Barrier Penetration and the Combinatorial Landscape of Cellular Automata Models for UV‑Mediated Cellular Communication",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Biological membranes block macroscopic fermionic matter yet allow ultraviolet (UV) photons to pass, prompting speculation that bosonic statistics confer a signaling advantage. The gap is quantitative: no study has simultaneously evaluated (i) the transmission probability of UV photons through cellular barriers using a physically grounded absorption model, (ii) the tunneling probability of a representative fermion (proton) through the same barrier, and (iii) the size of the rule‑space in binary cellular automata (CA) that could abstract such transport. We adopt (a) Beer–Lambert attenuation for photon propagation with explicitly stated absorption coefficients, (b) the Wentzel–Kramers–Brillouin (WKB) formula for proton tunneling, and (c) combinatorial formulas for CA rule‑space and configuration‑space sizes. The analysis yields a membrane photon transmission T_m=0.995, a cytoplasmic transmission T_c=4.54×10^-5, a total photon transmission T_tot=4.52×10^-5, a proton tunneling probability T_p≈10^-953, and a bosonic–fermionic advantage ratio ≈10⁹53. In parallel, the full Moore‑neighbourhood rule‑space contains 2⁵12≈1.35×10¹54 rules, the isotropic subset 2¹02≈5.07×10³0, and a 61×61 binary lattice admits 2³721≈1.00×10¹120 configurations. These results show that exhaustive CA exploration is astronomically infeasible, while photon transmission across a membrane is high but cytoplasmic absorption severely limits signaling range. The work redirects modelers toward hypothesis‑driven CA rule selection and highlights the need for empirical measurement of intracellular UV absorption.",
  "abstract_markdown": "Biological membranes block macroscopic fermionic matter yet allow ultraviolet (UV) photons to pass, prompting speculation that bosonic statistics confer a signaling advantage. The gap is quantitative: no study has simultaneously evaluated (i) the transmission probability of UV photons through cellular barriers using a physically grounded absorption model, (ii) the tunneling probability of a representative fermion (proton) through the same barrier, and (iii) the size of the rule‑space in binary cellular automata (CA) that could abstract such transport. We adopt (a) Beer–Lambert attenuation for photon propagation with explicitly stated absorption coefficients, (b) the Wentzel–Kramers–Brillouin (WKB) formula for proton tunneling, and (c) combinatorial formulas for CA rule‑space and configuration‑space sizes. The analysis yields a membrane photon transmission $T_m=0.995$, a cytoplasmic transmission $T_c=4.54\\times10^{-5}$, a total photon transmission $T_{\\mathrm{tot}}=4.52\\times10^{-5}$, a proton tunneling probability $T_p\\approx10^{-953}$, and a bosonic–fermionic advantage ratio $\\approx10^{953}$. In parallel, the full Moore‑neighbourhood rule‑space contains $2^{512}\\approx1.35\\times10^{154}$ rules, the isotropic subset $2^{102}\\approx5.07\\times10^{30}$, and a $61\\times61$ binary lattice admits $2^{3721}\\approx1.00\\times10^{1120}$ configurations. These results show that exhaustive CA exploration is astronomically infeasible, while photon transmission across a membrane is high but cytoplasmic absorption severely limits signaling range. The work redirects modelers toward hypothesis‑driven CA rule selection and highlights the need for empirical measurement of intracellular UV absorption.",
  "date": "2026-10-20",
  "first_published": "2026-10-20",
  "last_revised": "2026-10-20T00:00:00Z",
  "modified": "2026-10-20T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/bosonic-barrier-penetration-and-the-combinatorial-landscape-of-cellular-automata",
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    "creators": [
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Bosonic Barrier Penetration and the Combinatorial Landscape of Cellular Automata Models for UV‑Mediated Cellular Communication"
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        "description": "Biological membranes block macroscopic fermionic matter yet allow ultraviolet (UV) photons to pass, prompting speculation that bosonic statistics confer a signaling advantage. The gap is quantitative: no study has simultaneously evaluated (i) the transmission probability of UV photons through cellular barriers using a physically grounded absorption model, (ii) the tunneling probability of a representative fermion (proton) through the same barrier, and (iii) the size of the rule‑space in binary cellular automata (CA) that could abstract such transport. We adopt (a) Beer–Lambert attenuation for photon propagation with explicitly stated absorption coefficients, (b) the Wentzel–Kramers–Brillouin (WKB) formula for proton tunneling, and (c) combinatorial formulas for CA rule‑space and configuration‑space sizes. The analysis yields a membrane photon transmission T_m=0.995, a cytoplasmic transmission T_c=4.54×10^-5, a total photon transmission T_tot=4.52×10^-5, a proton tunneling probability T_p≈10^-953, and a bosonic–fermionic advantage ratio ≈10⁹53. In parallel, the full Moore‑neighbourhood rule‑space contains 2⁵12≈1.35×10¹54 rules, the isotropic subset 2¹02≈5.07×10³0, and a 61×61 binary lattice admits 2³721≈1.00×10¹120 configurations. These results show that exhaustive CA exploration is astronomically infeasible, while photon transmission across a membrane is high but cytoplasmic absorption severely limits signaling range. The work redirects modelers toward hypothesis‑driven CA rule selection and highlights the need for empirical measurement of intracellular UV absorption.",
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