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      "level": 1,
      "title": "The Origin of Time - Discrete Phase Closure and Identity Recurrence",
      "anchor": null
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      "title": "Repository Files",
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    {
      "level": 1,
      "title": "The Origin of Time - Discrete Phase Closure and Identity Recurrence",
      "anchor": null
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      "level": 1,
      "title": "Time as a Projection-Ordering Mechanism",
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    {
      "level": 2,
      "title": "Time Is Not Present in the Substrate",
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    {
      "level": 2,
      "title": "Emergence of Time from Stacking and Update Ordering",
      "anchor": "#emergence-of-time-from-stacking-and-update-ordering"
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    {
      "level": 2,
      "title": "Discreteness of Time",
      "anchor": "#discreteness-of-time"
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    {
      "level": 2,
      "title": "Constraint Accounting Across Scale (Fractal Budgets)",
      "anchor": "#constraint-accounting-across-scale-fractal-budgets"
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    {
      "level": 2,
      "title": "The Arrow of Time",
      "anchor": "#the-arrow-of-time"
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    {
      "level": 2,
      "title": "Time Dilation and Horizons",
      "anchor": "#time-dilation-and-horizons"
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      "level": 2,
      "title": "Relation to Higher Structural Dimensions",
      "anchor": "#relation-to-higher-structural-dimensions"
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    {
      "level": 1,
      "title": "Identity, Closure, and the Structural Origin of Time",
      "anchor": "#identity-closure-and-the-structural-origin-of-time"
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    {
      "level": 2,
      "title": "Fractal Budgets and Admissibility Audits",
      "anchor": "#fractal-budgets-and-admissibility-audits"
    },
    {
      "level": 2,
      "title": "The Central Anchor \\(\\pi^2/6\\)",
      "anchor": "#the-central-anchor-pi26"
    },
    {
      "level": 2,
      "title": "The Balance Condition \\(\\Re(s) = 1/2\\)",
      "anchor": "#the-balance-condition-res-12"
    },
    {
      "level": 2,
      "title": "PAL, Coheron Cycles, and Created Time",
      "anchor": "#pal-coheron-cycles-and-created-time"
    },
    {
      "level": 2,
      "title": "A Macroscopic Example: \\(\\tau \\approx 71.2\\) ms",
      "anchor": "#a-macroscopic-example-tau-approx-71.2-ms"
    },
    {
      "level": 2,
      "title": "Worked Example: Layered Recurrence Without Global Closure",
      "anchor": "#worked-example-layered-recurrence-without-global-closure"
    },
    {
      "level": 2,
      "title": "Worked Example: Voyager Heliopause Regime Transition as Non-Instantaneous Recurrence",
      "anchor": "#worked-example-voyager-heliopause-regime-transition-as-non-instantaneous-recurrence"
    },
    {
      "level": 2,
      "title": "Worked Example: Atomic-Scale Recurrence in a Hydrogen-Like Transition",
      "anchor": "#worked-example-atomic-scale-recurrence-in-a-hydrogen-like-transition"
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    {
      "level": 4,
      "title": "Closure-to-transition mapping.",
      "anchor": "#closure-to-transition-mapping."
    },
    {
      "level": 4,
      "title": "Hydrogen-like example (Lyman- \\(\\alpha\\) analogue).",
      "anchor": "#hydrogen-like-example-lyman-alpha-analogue."
    },
    {
      "level": 4,
      "title": "PAL and sector quantization.",
      "anchor": "#pal-and-sector-quantization."
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    {
      "level": 4,
      "title": "Test protocol (falsifiable).",
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    {
      "level": 4,
      "title": "Interpretation.",
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      "level": 2,
      "title": "Testable Predictions",
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    },
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      "level": 3,
      "title": "Prediction 1: Sector-Quantized Recurrence in Discrete Substrate Simulations",
      "anchor": "#prediction-1-sector-quantized-recurrence-in-discrete-substrate-simulations"
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      "level": 3,
      "title": "Prediction 2: Discrete-Step Time Dilation Under Update Bottlenecks",
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    {
      "level": 3,
      "title": "Prediction 3: Locking Failure Thresholds Under Excess Mismatch",
      "anchor": "#prediction-3-locking-failure-thresholds-under-excess-mismatch"
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      "level": 3,
      "title": "Prediction 4: Basel-Normalized Mode Weighting as the Weakest Convergent Bound",
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      "level": 2,
      "title": "Summary Table: Recurrence anchors across scales",
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      "level": 1,
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      "level": 1,
      "title": "Appendix: Why \\(\\pi^2/6\\) Appears as a Structural Convergence Bound",
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