Formalization Publication Lifecycle

Status Boundary

This work is part of the authorial PHYSICA / Science of Fabric Reality corpus. It is presented as a research framework, formalization target, computational model, or theoretical synthesis unless explicitly marked otherwise. It is not presented as accepted physics, external consensus, or experimentally confirmed science.

1. Scientific Purpose

Defines the visual and structural requirements for representing the Formalization Publication Lifecycle (M0–M5) and the progression from informal conjecture to machine-checked release artifact.

2. Concepts Visualized

• Six-Tier Promotion Ladder (M0–M5) · Stepwise transition:$$\text{M0 (Conjecture)}⟶\text{M1 (Formal Statement)}⟶\text{M2 (Proof Sketch)}⟶\text{M3 (Lean 4 Complete)}⟶\text{M4 (Independent Audit)}⟶\text{M5 (Archival Canon)}$$
• Verification Seal Boundary · Epistemic firewall ensuring ACTIVE_P4_SEALS = 0 across all published gates.
• Continuous Integration Gates · Automated theorem validation (lake build) and RFC 8785 canonical hash sealing.

3. Mathematical Symbols & Grounding

• $\text{M0}\dots \text{M5}$: Proof maturity stages according to the project constitution.
• ${\mathcal{H}}_{\text{audit}}$: Deterministic SHA-256 commit and release hashes.
• ${\mathbf{G}}_{\text{gate}}$: Quality gating function $\mathbf{G}(\text{theorem})\in \{\text{PASS},\text{REVISE},\text{REJECT}\}$.

4. Required SVG Layers & Coordinate Geometry

• Coordinate System: viewBox="0 0 800 500", responsive SVG container with fluid scaling.
• Layer 1: base-topology:
  • Horizontal chevron or stepped pipeline cards corresponding to stages M0 through M5.
  • Phase boundary separators rendered in var(--vp-c-border).
• Layer 2: interaction-vectors:
  • Unidirectional progression arrows showing forward formalization and feedback review loops.
  • Accent colors transitioning across stage badges (var(--vp-c-brand-1) to var(--vp-c-brand-2)).
• Layer 3: labels-and-nodes:
  • Stage titles, criteria badges, and verification status chips bound to var(--vp-c-text-1).
  • Accessible screen reader labels and <desc> tags.

5. Caption & Interpretation Boundary

Figure: Schematic representation of the M0–M5 formalization and publication lifecycle, illustrating rigorous stage promotion and machine-checked release gates.

NOTE

This figure serves as a formalization target and visual aid for the authorial model. It must not be interpreted as empirical proof or accepted physics.

6. Canonical Continuations

Direction	Target Resource	Purpose	Formal Code Link
Proof Governance	Proof Governance & Verification Scale	M0–M5 maturity taxonomy & criteria	Fabrica.PGP
Formal Proof Suite	Formalization Roadmap	Interactive Lean 4 proof status	Fabrica.InvariantEngineering
Institutional Canon	Institutional Publications & Provenance	Publication registry and SHA-256 manifests	Fabrica.Realica
Figures Atlas	Visual Cartography Atlas	Full figure programs index	Visual Cartography
Formalization Gateway	Formalization Gateway	Lean 4 Interactive Proof Suite	Fabrica.PGP

EXTERNAL REFERENCE