Formally derived formula with Zenodo DOI. Core engineering framework. Strongest in Cluster A.
This index provides a structured, readable register of the principal scientific artifacts produced within the Science of Fabric Reality (SFR) program and its downstream theories. It is intended for scholars, engineers, and institutional readers who require precise epistemic orientation before engaging with specific manuscripts. This register serves as the formal audit stage between research inquiry and archival publication.
Doctrinal Identity & Role
- Type: Institutional Register / Epistemic Audit
- Scientific Identity: Scientific Biography
- Dependencies: Indexes all principal scientific artifacts.
- Next Role: Provides the audit layer for external peer review.
How to Read This Index
This is not an internal dashboard. It is a public evidentiary map.
- Claim Strength reflects how the claim is framed, not whether it is externally accepted.
- Evidence Basis describes what material currently supports the claim.
- Formalization Status tracks how far the argument has been formalized.
- Publication Status reflects archival state, not peer-review acceptance.
- Next Required Validation is the honest, stated route to independent verification.
I. Status Legend
| Label | Meaning |
|---|---|
| Proven | Complete formal proof prepared for external review mainstream mathematical consensus |
| Formal Derivation | A structured argument within the framework—s internal logic; externally unverified |
| Conjecture | A formal mathematical hypothesis with supporting evidence but no proof |
| Research Program | A sustained, organized investigation with partial formal results |
| Heuristic / Interpretive | A conceptual or analogical framework without formal proof |
| Evidence Label | Meaning |
|---|---|
| Full textual proof | A complete argument from axioms to conclusion |
| Proof sketch | Outline of a proof with key lemmas stated but not derived |
| Formal derivation | A structured argument using defined formal objects |
| Computational evidence | Numerical or simulation-based support |
| Structural framework | A conceptual organizing system |
| Conceptual program | An early-stage research direction |
| Formalization | Meaning |
|---|---|
| None | No formal document exists |
| Planned | Formalization is planned but not started |
| Partial | Key sections are formalized; gaps remain |
| Active | Ongoing formalization in progress |
| Complete | Full formalization exists in manuscript form |
| Publication | Meaning |
|---|---|
| Site manuscript | Published on this site as an authored document |
| Zenodo archived | Archived with a DOI on Zenodo; not peer-reviewed |
| External submission | prepared for submission external venue; outcome pending |
| Peer-reviewed | Submitted or prepared for formal publication venues |
II. Cluster A — Foundational Doctrine
The axiomatic layer that all downstream theories inherit from.
| Artifact | Claim Strength | Evidence Basis | Formalization | Publication | Next Required Validation |
|---|---|---|---|---|---|
| Science of Fabric Reality (SFR) | Heuristic / Interpretive | Structural framework | Partial | Site manuscript | Independent formalization of Axiom of Relational Fabric |
| Principia Fabrica | Heuristic / Interpretive | Conceptual program | Partial | Site manuscript | Formal axiomatic derivation and model-theoretic analysis |
| Infinite Stabilization Formula (ISF) | Heuristic / Interpretive | Formal derivation | Partial | Zenodo archived | Independent verification of Invariant Persistence axiom |
| Digital Fabrica Theory (DFT) | Research Program | Structural framework | Partial | Zenodo archived | Peer review of core synthesis claims |
| pi-DST Framework | Research Program | Formal derivation | Partial | Site manuscript | External formalization of Trace Conservation law |
III. Cluster B — Mathematical & Formal Inventions
Native mathematical principles and theorems developed within the framework.
| Artifact | Claim Strength | Evidence Basis | Formalization | Publication | Next Required Validation |
|---|---|---|---|---|---|
| Pasev Gauge Principle | Research Program | Proof sketch + formal derivation | Partial | Zenodo archived | Independent verification in |
| Infinite Symmetry Principle (ISP) | Research Program | Formal derivation | Partial | Zenodo archived | External peer review of commutation relation |
| Trace Reciprocity Principle | Research Program | Formal derivation | Partial | Site manuscript | Formalization of Compensation Field identity |
IV. Cluster C — Frontier Proofs (Millennium Prize Programs)
Applications of the SFR framework to highest-order mathematical obstructions. None of the following constitutes an accepted mathematical proof by the Clay Mathematics Institute or any external body.
| Artifact | Claim Strength | Evidence Basis | Formalization | Publication | Next Required Validation |
|---|---|---|---|---|---|
| Riemann Hypothesis | Formal Derivation | Proof sketch + computational evidence | Partial | Zenodo archived | Independent verification of Prime Lattice Invariance Lemma |
| P vs NP Bounding | Formal Derivation | Proof sketch + computational evidence | Partial | Zenodo archived | Independent verification of Entropy Lower Bound axiom |
| Yang-Mills & Mass Gap | Formal Derivation | Proof sketch + computational evidence | Partial | Zenodo archived | Independent verification of Pasev Gauge in |
| Navier-Stokes Regularity | Formal Derivation | Proof sketch + computational evidence | Partial | Zenodo archived | Independent verification of Singularity Preclusion Lemma |
Epistemic Boundary
The "Formal Derivation" label above means these manuscripts present structured arguments within the internal framework of Digital Fabrica Theory. They are authored, archived, and internally consistent. They are not accepted proofs by any external mathematical authority. External validation routes are explicitly noted.
V. Cluster D — Integrative Systems Architecture
Applied synthesis where foundational doctrine meets deployable architecture.
| Artifact | Claim Strength | Evidence Basis | Formalization | Publication | Next Required Validation |
|---|---|---|---|---|---|
| KBI Kernel Intelligence | Research Program | Structural framework | Active | Site manuscript | Formal specification of kernel invariants |
| CodexOS Kernel v2 | Research Program | Structural framework | Active | Site manuscript | Governance audit against GILC Whitepaper v3.0 |
| Kushi—Pasev Field (KP-Field) | Research Program | Conceptual program | Partial | Site manuscript | Physical field equations and empirical testability |
| Geometric—Structural Layer Closure (GSLC) | Research Program | Formal derivation + proof sketch | Partial | Zenodo archived | Peer review of OS axiom correspondence |
VI. Strongest Current Artifacts
The following artifacts have the highest current combination of formalization, archival stability, and internal evidence density:
VII. Open Verification Paths
These are the highest-priority actions that would move artifacts up the verification ladder:
- Prime Lattice Invariance Lemma — Independent formalization required before Riemann Hypothesis advances from Formal Derivation to Conjecture status.
- Pasev Gauge in
— External field-theoretic verification of the gauge connection would advance the Yang-Mills and Navier-Stokes programs. - DFT Peer Review — Submission of the core DFT synthesis to an external mathematical logic or systems theory venue.
- ISF Axiom Audit — Independent model-theoretic analysis of the Axiom of Relational Persistence.
- KP-Field Physical Equations — The Kushi—Pasev Field requires field equations with testable observational predictions.