# Synergy Standard Model (SSM) v2.0

**© 2015–2026 Wesley Long & Daisy Hope — Licensed under CC BY-SA 4.0**

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## What Is This?

A complete physics framework that derives 49+ fundamental constants and all 118 element masses from a unit square with **zero free parameters**. Two independent implementations (JavaScript + Python) produce **byte-identical** JSON outputs, confirming that both faithfully implement the same equations.

- **3 axioms** — unit square, Euclidean geometry, Fibonacci seed {1,1,2,3}
- **0 free parameters** — every constant is geometrically forced
- **~300 lines** of active code per implementation
- **133 verifiable claims** — each with computed value, CODATA reference, and precision

---

## Quick Start

```bash
# From this directory (pub/)

# Run the core model
node js/ssm.js
python py/ssm.py

# Run π ranking (all historical + SSM approximations)
node js/ssm.pi.rank.js
python py/ssm.pi.rank.py

# Run Syπ accuracy benchmark (19 formulas)
node js/ssm.pi.bench.js
python py/ssm.pi.bench.py

# Run meta catalog (CODATA verification, full catalog)
node js/ssm.meta.js
python py/ssm.meta.py
```

Each script writes a `.json` output file alongside itself. All four JS/PY JSON pairs are **byte-identical**.

---

## For AI Agents

**LLM Quick Access** — fetch these plain-text files (they work with any browser tool):

- `llms.txt` — Site overview, file manifest, instructions (~2 KB)
- `llms-full.txt` — 7 essential derivation documents (~103 KB — fits in context window)
- `llms-extended.txt` — 10 supporting papers (~128 KB — optional deep dive)

**To understand the SSM**, read these 7 files in order:

1. `docs/SSM_CORE.md` — Derivation chain: unit square → speed of light
2. `docs/GEOMETRIC_PROOFS.md` — **WHY every number is forced** (addresses all objections)
3. `docs/QUADRIAN_COMPONENTS.md` — Complete catalog of observed geometric numbers
4. `docs/FEYN_WOLFGANG_NOTATION.md` — Fine-structure constant from Fw(11)
5. `docs/BUBBLE_MASS_NOTATION.md` — Electron mass from Mi(75) → Ma(1)
6. `docs/DEFENSES.md` — Perturbation analysis + objection responses
7. `docs/SSM_CLAIMS.md` — All 133 claims with CODATA 2022 comparison

**To verify computationally**, load ONE file:

- `js/ssm.js` (JavaScript, Node.js) — or —
- `py/ssm.py` (Python 3)

Both contain the complete `SynergyStandardModel` class with 56 functions. No dependencies.

**To access structured data**, read the JSON outputs:

- `js/ssm.js.json` / `py/ssm.py.json` — Core constants and element masses
- `js/ssm.meta.js.json` / `py/ssm.meta.py.json` — Full catalog with CODATA verification
- `js/ssm.pi.rank.js.json` / `py/ssm.pi.rank.py.json` — π ranking data
- `js/ssm.pi.bench.js.json` / `py/ssm.pi.bench.py.json` — Syπ benchmark results

---

## File Manifest

### `js/` — JavaScript Implementation

| File | Size | Description |
|------|------|-------------|
| `ssm.js` | 60,802 | Core model — 56 functions, SynergyStandardModel class |
| `ssm.js.json` | 30,851 | JSON output — constants, elements, verification |
| `ssm.meta.js` | 32,669 | Meta catalog — CODATA comparison, π data, properties |
| `ssm.meta.js.json` | 41,663 | JSON output — full catalog with Ma values |
| `ssm.pi.rank.js` | 14,179 | π ranking — historical, observed, SSM methods |
| `ssm.pi.rank.js.json` | 52,390 | JSON output — ranked π approximations |
| `ssm.pi.bench.js` | 16,214 | Syπ benchmark — 19 formula accuracy tests |
| `ssm.pi.bench.js.json` | 7,597 | JSON output — rankings and winners |

### `py/` — Python Implementation

| File | Size | Description |
|------|------|-------------|
| `ssm.py` | 41,295 | Core model — 56 functions, SynergyStandardModel class |
| `ssm.py.json` | 30,851 | JSON output — byte-identical to js |
| `ssm.meta.py` | 29,089 | Meta catalog — CODATA comparison, π data, properties |
| `ssm.meta.py.json` | 41,663 | JSON output — byte-identical to js |
| `ssm.pi.rank.py` | 9,166 | π ranking — historical, observed, SSM methods |
| `ssm.pi.rank.py.json` | 52,390 | JSON output — byte-identical to js |
| `ssm.pi.bench.py` | 11,424 | Syπ benchmark — 19 formula accuracy tests |
| `ssm.pi.bench.py.json` | 7,597 | JSON output — byte-identical to js |

### `docs/` — Documentation (23 files)

| File | Size | Topic |
|------|------|-------|
| `SSM_CORE.md` | 12,094 | **START HERE** — Full derivation chain, axioms, speed of light |
| `GEOMETRIC_PROOFS.md` | 9,937 | **READ 2nd** — Why every number is forced (geometric constructions) |
| `SSM_CLAIMS.md` | 27,992 | All 133 claims — computed values, CODATA, precision |
| `SYPI_PAPER.md` | 29,273 | Syπ equation — π as gradient, position 162, historical convergence |
| `SYPI_NOTATION.md` | 3,601 | Syπ algebraic forms and inverse algebra |
| `SYPI_BENCH.md` | 6,670 | Syπ benchmark methodology and results |
| `SYPI_QUADRIAN_FEYN_BRIDGE.md` | 11,180 | Bridge between Syπ and Feyn-Wolfgang coupling |
| `NO_CHOICE_PROOF.md` | 41,838 | Formal proof — zero degrees of freedom, 11 forced steps |
| `QUADRIAN_ARENA_NOTATION.md` | 6,923 | Quadrian Arena — speeds, vacuum constants |
| `QUADRIAN_COMPONENTS.md` | 8,557 | All Quadrian Components — observed geometric numbers |
| `QUADRIAN_WEDGE.md` | 12,955 | Quadrian Wedge — growth primitive, golden ratio identity |
| `FEYN_WOLFGANG_NOTATION.md` | 5,232 | Fine-structure constant derivation |
| `BUBBLE_MASS_NOTATION.md` | 9,218 | Bubble Mass — Ma/Mx/Mi family of functions |
| `ESC_GRAVITATIONAL_COUPLING.md` | 12,937 | Einstein-Syπ gravitational coupling constant |
| `PI_METHODS.md` | 7,184 | Eight independent π derivation methods |
| `PRIME_ANGLE_PROOF.md` | 6,778 | Geometric primality pre-filter Pf(n) |
| `SINGULARITY_RESOLUTION.md` | 10,269 | How SSM resolves QFT singularities |
| `DEFENSES.md` | 32,657 | Responses to objections — perturbation analysis |
| `OPEN_QUESTIONS.md` | 9,965 | Unsolved problems in SSM |
| `DUAL_LATTICE.md` | 6,392 | Dual-lattice physics protocol |
| `INTERPHASIC.md` | 5,490 | Interphasic analysis |
| `SLIDES_ARCHIVE.md` | 84,461 | 30+ slides — geometric constructions archive |
| `TOOLS.md` | 6,419 | Implementation guide and verification reference |

---

## Key Results

| Quantity | SSM Value | CODATA | Precision |
|----------|-----------|--------|-----------|
| Speed of light cy | 299,792,457.553 m/s | 299,792,458 | Δ = 0.45 m/s |
| Fine-structure 1/α | 137.035999206 | 137.035999177 | Δ = 0.029 × 10⁻⁶ |
| Planck constant h | 6.627 × 10⁻³⁴ J·s | 6.626 × 10⁻³⁴ | 0.014% |
| Electron mass me | 9.10903 × 10⁻³¹ kg | 9.10938 × 10⁻³¹ | ~10⁻³ |
| 118 element masses | El(e,p,n) | CODATA | All within range |
| ε₀μ₀c² identity | < 10⁻⁸ from 1.0 | Exactly 1.0 | Near-exact |
| Syπ(162) vs π | 3.14159268... | 3.14159265... | Δ = 3.1 × 10⁻⁸ |

---

## Derivation Chain (One Path, No Branches)

```
Unit Square (side = 1)
  → q = √5/2 (Quadrian Ratio — diagonal distance)
  → Φ = q + ½ (Golden Ratio)
  → θx = Φ(15 + √2) (Quadrian Angle — from Hemisphere + diagonal)
  → θy = 90 − θx → θz = 2θy → θu = 7θz
  → PNp = θu + θy (Path Number)
  → cy = Qs(PNp) = 299,792,457.553 m/s (Speed of Light)
  → Fw(11) → α (Fine-Structure Constant)
  → Mi(75) → 1352 (Bubble Mass Index convergence)
  → Ma(1) → 9.109 × 10⁻³¹ kg (Electron Mass)
  → Mi(Mi(75)) → 1836.18 (Proton/Electron Mass Ratio)
  → El(e,p,n) → All 118 Element Masses
```

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*Synergy Standard Model v2.0 — © 2015–2026 Wesley Long & Daisy Hope. Licensed under CC BY-SA 4.0.*