Editing Openai/69596681-3f7c-8006-b9fd-01d9d8191763 (section)

=== Assistant: Below is a precise, executable roadmap of the next 100 steps, ordered, atomic, and checkable. ===
Below is a precise, executable roadmap of the next 100 steps, ordered, atomic, and checkable. Each step is phrased as an action with a concrete artifact or decision outcome. No narrative.

===== 1. Replace “ToE” with Infrared-Complete Theory (IR-ToE) in title, abstract, and conclusions. =====
# Add a formal Scope Statement limiting authority to finite-resolution observables.
# Insert the Asymptotic Viability Theorem verbatim into Methods.
# Explicitly define τ(p) and state whether a nonzero floor τ* exists.
# Declare exact-measurement prohibition as an axiom (if τ*>0).
# Add a Failure Taxonomy section (STRUCT / FEAS / EVID / PREC).
# Include a Non-Claims box (what the theory does not assert).
# Add a Decision Semantics summary (ANF one-page).
# Update keywords to include infrared completeness, algorithmic falsifiability.
# Version-lock the manuscript (v1.1-IR).

===== 1. Convert the main theorem into Lean (or Coq) formal statement. =====
# Prove monotone collapse lemma under τ(p)→0.
# Prove sufficiency of liminf τ(p) ≥ |r|max.
# Formalize bounded-noise robustness corollary.
# Encode precision scaling as an RG flow (ℓ=2^-p).
# Prove UV instability for τ(p)=τ0·2^-p with |r|max>0.
# Prove IR stability for τ(p)=τ*+C·2^-p.
# Add proof of absorbing COLLAPSE property.
# Add proof of decision determinism (no stochasticity).
# Export proof artifacts and hashes.

===== 1. Finalize Rust reference interpreter (no unsafe). =====
# Add Prusti/Kani annotations for key invariants.
# Produce TLA+ spec and TLC model checks.
# Generate Python mirror for reproducibility.
# Add CLI to toggle τ(p) laws.
# Add JSON schema for datasets/specs.
# Add hash sealing for all runs.
# Add CI job to fail on hash drift.
# Publish determinism tests (bitwise).
# Tag releases with semantic versions.

===== 1. Sweep (τ0, δ) to compute k* surface. =====
# Sweep (τ0, ε_max) for robustness margin map.
# Sweep (τ0, p) to compute p* boundary.
# Produce k–τ–p phase table (CSV).
# Validate analytic k* against numerics.
# Add confidence-free reporting (counts only).
# Freeze grids and seeds.
# Add early-collapse index tables.
# Add asymptotic survival flags.
# Hash and archive all outputs.

===== 1. Map τ* to instrumental resolution bounds. =====
# Map ε_max to calibration envelopes.
# Show invariance across independent datasets.
# Test domain leakage guardrails.
# Add data validity operator examples.
# Demonstrate negative controls (forced collapse).
# Demonstrate positive controls (bounded noise survival).
# Add cross-domain replication (two observables).
# Publish failure attribution DAGs.
# Lock empirical claims.

===== 1. Add a Referee FAQ (10 bullets). =====
# Include Why not UV-complete? section.
# Include Why τ* is physical section.
# Address exact-measurement fallacy explicitly.
# Contrast with Wilsonian EFT (non-equivalence).
# Add comparison table (claims vs guarantees).
# Provide counterexamples to naive scaling.
# Add reproducibility checklist.
# Add limitations section (explicit).
# Prepare response-to-referees draft.

===== 1. Define Certification Horizon H. =====
# Implement dataset accumulation logic.
# Add revocation conditions.
# Produce Certification Record schema.
# Add audit Merkle tree.
# Implement replay verifier.
# Add attestation signature option.
# Publish governance policy (no post-hoc changes).
# Add compliance badge (determinism).
# Archive immutable artifacts.

===== 1. Split manuscript into Methods / Theory / Results. =====
# Add Extended Proof Appendix.
# Add Executable Appendix (links).
# Submit to theory journal with scope letter.
# Submit software artifact to archive.
# Publish phase tables as data note.
# Release tutorial notebook (read-only).
# Announce challenge problems (falsification).
# Host public re-run instructions.
# Track issues publicly.

===== 1. Explore τ*(x) spatial dependence. =====
# Explore operator-specific τ*.
# Test nonlinear precision laws.
# Add multi-residual coupling.
# Explore correlated noise classes.
# Add model-map alternatives (frozen).
# Test worst-case adversaries.
# Add symbolic sensitivity bounds.
# Extend failure DAG queries.
# Keep claims unchanged.

===== 1. Freeze v1.2-IR. =====
# Re-run all CI checks.
# Verify all hashes.
# Lock datasets.
# Lock specs.
# Publish final artifacts.
# Issue DOI(s).
# Record provenance.
# Prepare long-term maintenance plan.
# Declare analysis closed pending new data.

If you want, I can convert this into a Gantt, a CI YAML, or a Lean task list with dependencies.
© Robert R. Frost
2026-01-03