Library · Library / Index
Research Library
Project Scope
This page is the master index.
The library is organized around two research programs.
- Syncre Form Theory (SFT) is the core program and the ongoing focal point.
Syncré emphasizes together-in-time observability (syn-), and Form emphasizes structure forced by embedding. The project is witness-based: it studies how cyclic symmetry and observable phase fields force stable, classifiable structure across many settings.
- Rigidity and Reconstruction remains a flagship math program with its own certificate and frontier layers.
Each project page is paired with an updates page that explains significance and records meaningful changes.
For reuse and standard citation practices, see:
This page is the master index for the project: program hubs, reading routes, and the main downloadable bundles.
If you are looking for a tighter, technical-only entry point (proof spine + supporting modules), use:
Start Here
| Page | What you get |
|---|---|
| Start Here | A fast orientation and the clearest entry points. |
| About | The mission and personal origin story behind the work. |
| Citation and Rights | How to cite and reuse research documents and library materials (public domain vs free-to-read originals). |
| Changelog | Recent improvements to the library system and reading experience. |
| Research Notes | Technical notes index: proofs, sub-lemmas, and supporting modules. |
| Library Quickstart | A guided entry point for reading the main results and then drilling into proofs and supporting modules. |
| Public Domain Library | A reading room for books and source texts. |
Syncre Form Theory (Core Program)
Syncré is named so the posture is visible: syn- (“together with”) suggests together-in-time; cre is from Latin and means to create; “Form” emphasizes the structured pattern forced by embedding. The pages below are the public spine of that witness-based program.
| Page | What it is | Best for |
|---|---|---|
| Syncre Form Theory | The hub and overview of the core program. | Orientation + navigation |
| Syncre Form Theory and the Relational Form Principle | Meaning layer with a formal core and auditable targets. | First-time readers |
| SFT Start Here | The shortest orientation and the decision posture (WSC or WOB). | Quick entry |
| SFT Core Principles and Stable Notation | Vocabulary, notation, and the SCL/SLL spine. | Keeping the objects straight |
| Syncre Symbol and Definition | The definition of \(\mathscr{S}_{\!\mathrm{r}}(P)\) as a coverage class. | Precise definition |
| Syncre Canonical Equation Reference | One-line SCL and SLL equations in canonical form. | Fast recall |
| Syncre Proof Program | How witnesses scale from minimal models to broad families. | Program clarity |
| Syncre Form Theory Updates | Significance notes and what changed as the package became release-grade. | Context |
| Syncre Certificate Engine | Certificate-or-obstruction discipline for universality claims. | Verification + reuse |
| Syncre Certificate Engine Updates | What changed as artifacts and validators were tightened. | Placement + significance |
| SFT Engine Exhaustiveness | Why every declared claim yields either WSC or WOB. | Decision clarity |
| SFT Boundary Gallery | The most common failure modes when meaning is underspecified. | Trust and hygiene |
| SFT III: Target Inference and Certificates | Target-correctness and data-to-certificate discipline. | Coupled regimes |
| Syncre Stability Modulus | Quantitative stability scale and classification aligned to certificate margins (SFT II). | Robustness-first reading |
| Syncre Stability Modulus Updates | Why the stability layer matters and what changed in the current release. | Context |
| Witness Atlas | Evidence layer: worked instances tied to validator-backed artifacts. | Concrete understanding |
| Witness Atlas Updates | Why the atlas matters and how to use it as evidence rather than illustration. | Context |
| Global Syncre Universality Theorem | Capstone forcing theorem line with obstruction boundary and scoped claims. | Theorem-first reading |
| Global Syncre Universality Theorem Updates | Why the theorem package matters and what changed as it matured. | Context |
| Solar–Lunar Local Time and Convergence | Primary worked example: phase fields on a rotating globe and torus dynamics. | Worked example |
Rigidity and Reconstruction (Flagship Math Program)
| Page | What it is | Best for |
|---|---|---|
| Rigidity and Reconstruction | The main hub for the rigidity program. | Overview + navigation |
| Gap-Free Rigidity and Robust Certificates | Strong single-instance gateway: gap-free rigidity plus robust certificate objects. | Understanding the forcing mechanism |
| Gap-Free Global Universality (Submission v19) | Region-level upgrade: robust certificates with explicit stability radii and cover/atlas reporting. | Most advanced submission |
| Gap-Free Global Universality Updates | Significance notes and what changed as the package became region-level. | Context |
| Referee Map and Checklist | Referee-facing audit map for the flagship submission and its artifact contracts. | Fast verification |
| Open Problem Resolution Map | Target-driven frontier map for witness-producing boundary questions. | Frontier navigation |
| JSR Decidability Frontier | Robust switching stability framed as certificate-or-obstruction outputs. | Frontier viewpoint |
| RU Universality Certificate Engine | Runnable companion that emits schema-validated certificates or obstruction witnesses. | Reproducibility + reuse |
| String Theory Bridge | Applied artifact pack on physics-adjacent constrained families. | Concrete examples |
Files and Kits
| Item | Open |
|---|---|
| SFT Main Paper (PDF) | Open |
| Syncre Stability Modulus (PDF) | Open |
| SFT III (PDF) | Open |
| Witness Atlas (PDF) | Open |
| Global Syncre Universality Theorem (PDF) | Open |
| SFT Submission Bundle (ZIP) | Download |
| SFT Breakthrough Bundle (ZIP) | Download |
| SFT Sources (ZIP) | Download |
| Gap-Free Rigidity and Robust Certificates (PDF) | Open |
| Gap-Free Rigidity Sources (ZIP) | Download |
| Gap-Free Global Universality (PDF) | Open |
| Gap-Free Global Universality Sources (ZIP) | Download |
| Gap-Free Global Universality Full Submission (ZIP) | Download |
| RU Engine Sources (ZIP) | Download |
| String Theory Bridge Sources (ZIP) | Download |
| Submission Kit (ZIP) | Download |
| Verification Toolkit (ZIP) | Download |
Books by Drew Higgins
Spiritual Warfare
Bible Study / Spiritual Warfare
Ephesians 6 Field Guide: Spiritual Warfare and the Full Armor of God
Spiritual warfare is real—but it was never meant to turn your life into panic, obsession, or…
