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
• ~500 lines of active code per implementation
• 133 verifiable claims — each with computed value, CODATA reference, and precision

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Quick Start

# 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.

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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

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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

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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

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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.