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  "id": "oai:papers.qnfo.org:singularity-as-an-epistemic-artifact-finite-cyclic-cosmology-without-actual-infi",
  "slug": "singularity-as-an-epistemic-artifact-finite-cyclic-cosmology-without-actual-infi",
  "title": "Singularity as an Epistemic Artifact: Finite Cyclic Cosmology without Actual Infinities",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Cosmological singularities — states in which density, curvature and temperature diverge — mark the breakdown of predictive physics at the Big Bang and inside black holes, and they block any quantitative continuation of collapse or of the early universe. Whether these infinities are features of reality or artifacts of the mathematical representation remains open. This paper tests the conjecture that actual infinities in gravitational physics are artifacts of adopting a linear, unbounded number line, and that in a cyclic framework a \"singularity\" is a transition between epochs rather than a physical infinity. We combine an audit of the hypotheses of the singularity theorems with explicit toy models. In a closed dust universe with density parameter Ω₀, recollapse occurs at the finite scale factor a_max/a₀ = Ω₀/(Ω₀-1); for Ω₀ = 1.2 this gives a_max = 6 a₀ and a density at recollapse of ρ₀/216. A re-parametrization of density by an angle, ρ/ρ_c = tan(θ/2), sends the finite state θ = π to ρ → ∞, demonstrating that the divergence lives in the chart, not the state. A discrete clock spanning the Hubble radius at Planck spacing contains N ≈ 8.50 × 10⁶0 states, making epoch transitions finite wraparound events by construction. Using SKA1 dipole forecasts, the ratio of the kinematic dipole to the large-scale-structure dipole is R = 0.0046/0.0031 ≈ 1.48 with forecast uncertainty ± 0.76. The results reframe singularity theorems as representation-sensitive statements and define a concrete simulation and observation program.",
  "abstract_markdown": "Cosmological singularities — states in which density, curvature and temperature diverge — mark the breakdown of predictive physics at the Big Bang and inside black holes, and they block any quantitative continuation of collapse or of the early universe. Whether these infinities are features of reality or artifacts of the mathematical representation remains open. This paper tests the conjecture that actual infinities in gravitational physics are artifacts of adopting a linear, unbounded number line, and that in a cyclic framework a \"singularity\" is a transition between epochs rather than a physical infinity. We combine an audit of the hypotheses of the singularity theorems with explicit toy models. In a closed dust universe with density parameter $\\Omega_0$, recollapse occurs at the finite scale factor $a_{\\max}/a_0 = \\Omega_0/(\\Omega_0-1)$; for $\\Omega_0 = 1.2$ this gives $a_{\\max} = 6\\,a_0$ and a density at recollapse of $\\rho_0/216$. A re-parametrization of density by an angle, $\\rho/\\rho_c = \\tan(\\theta/2)$, sends the finite state $\\theta = \\pi$ to $\\rho \\to \\infty$, demonstrating that the divergence lives in the chart, not the state. A discrete clock spanning the Hubble radius at Planck spacing contains $N \\approx 8.50 \\times 10^{60}$ states, making epoch transitions finite wraparound events by construction. Using SKA1 dipole forecasts, the ratio of the kinematic dipole to the large-scale-structure dipole is $R = 0.0046/0.0031 \\approx 1.48$ with forecast uncertainty $\\pm 0.76$. The results reframe singularity theorems as representation-sensitive statements and define a concrete simulation and observation program.",
  "date": "2026-10-16",
  "first_published": "2026-10-16",
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  "url": "https://papers.qnfo.org/papers/singularity-as-an-epistemic-artifact-finite-cyclic-cosmology-without-actual-infi",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Singularity as an Epistemic Artifact: Finite Cyclic Cosmology without Actual Infinities"
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        "description": "Cosmological singularities — states in which density, curvature and temperature diverge — mark the breakdown of predictive physics at the Big Bang and inside black holes, and they block any quantitative continuation of collapse or of the early universe. Whether these infinities are features of reality or artifacts of the mathematical representation remains open. This paper tests the conjecture that actual infinities in gravitational physics are artifacts of adopting a linear, unbounded number line, and that in a cyclic framework a \"singularity\" is a transition between epochs rather than a physical infinity. We combine an audit of the hypotheses of the singularity theorems with explicit toy models. In a closed dust universe with density parameter Ω₀, recollapse occurs at the finite scale factor a_max/a₀ = Ω₀/(Ω₀-1); for Ω₀ = 1.2 this gives a_max = 6 a₀ and a density at recollapse of ρ₀/216. A re-parametrization of density by an angle, ρ/ρ_c = tan(θ/2), sends the finite state θ = π to ρ → ∞, demonstrating that the divergence lives in the chart, not the state. A discrete clock spanning the Hubble radius at Planck spacing contains N ≈ 8.50 × 10⁶0 states, making epoch transitions finite wraparound events by construction. Using SKA1 dipole forecasts, the ratio of the kinematic dipole to the large-scale-structure dipole is R = 0.0046/0.0031 ≈ 1.48 with forecast uncertainty ± 0.76. The results reframe singularity theorems as representation-sensitive statements and define a concrete simulation and observation program.",
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