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Continuum Trilogy

The Ontological Closure (OC) Program — Three papers proving that physically real = Turing-approximable with computable convergence modulus.

Status: Published (Zenodo DOI 10.5281/zenodo.21672990) | Phase 4: COMPLETE (Stages 0-10, v2.27) | Genre: Epistemic (A)

Papers

# Title Pages
I Computable Continuum: Why Non-Computable Reals Are Physically Inaccessible 8
II p-Adic Spin-Information: Quantum Numbers as Valuations 9
III Unified Ontology: Adelic Epistemology and the Computable Universe 9

Phase 4 — Structured Forecast Protocol

All 11 stages complete (v2.27, qualitative ranking — EV formula retired):

  • Stages 0-8: Domain assessment, paradigm candidates (8 ranked), assumption audit, red-team, sensitivity, calibration register, effort allocation, strategic memo, cross-review
  • Stage 9: artifacts/practical-applications-extension.md — 9 application domains (QEC, trapped-ion, tomography, lattice QCD, verified numerics, neural networks, HW benchmarking, BSM models, physics education)
  • Stage 10: artifacts/counterfactual-backcasting.md — 4 disciplines × 4 fork tiers

Quick Start

  • Plan: PROJECT-PLAN.md
  • Phase 4: artifacts/phase4-*.md
  • Paper sources: docs/paper-0*.md
  • Build: python scripts/build-paper.py docs/paper-01-computable-continuum.md

About

A trilogy of papers decomposing the mathematical continuum into physically real and physically vacuous components: Depth (computable reals), Breadth (non-computable reals = unfalsifiable), Valuation (p-adic completions as information carriers). Part of the Ontological Closure (OC) program.

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