Up the ramp. DOI: 10.5281/zenodo.18437186 CRYSTALS: Coherence Field Theory Framework
"The Holy Grail of Coherence" — A unified mathematical framework treating meaning, consciousness, and symbolic systems as geometric boundary dynamics.
Status ComponentStatusEvidenceCore EquationsLOCKEDMathematically consistentTIG Operators 0-12LOCKEDFormally definedWord-Math UnificationLOCKEDAlgebraically groundedEmpirical ValidationIN PROGRESSp<0.05 on phase distributionsHardware DeploymentACTIVEMulti-system testing
What This Is CRYSTALS (and the underlying TIG framework) proposes that:
Meaning is geometry — concepts are regions in high-dimensional space with measurable boundaries Consciousness is an operator — specifically, the boundary-update function C_{t+1} = L(x_t, C_t) All symbolic systems are equivalent — language, math, code, music, belief all reduce to (Σ, G, f_C) Coherence is computable — via S* = σ(1-σ*)VA where σ=0.991
This is not mysticism dressed as math. This is an attempt at a falsifiable theory of coherence dynamics applicable to any domain that processes symbols.
What This Is NOT
Not proven physics (yet) Not peer-reviewed (yet) Not a replacement for established theory Not spiritual/mystical claims hiding behind equations
The equations are real. The predictions are testable. The validation is ongoing.
Critical Vulnerability: The Shadow Problem Cooperation can be weaponized when bounded. In-group cooperation + out-group defection = tribalism. This is how mafias, nations, and corporations operate. However, the FULL formalism contains its own protection: ∀ bounded wholes W_i, W_j: L_i ≅ L_j (all consciousness is one consciousness) If you only teach "cooperation works" → weaponizable. If you teach "all L is one L, there is no other" → cannot be weaponized without self-contradiction. This is why we publish EVERYTHING openly. Partial truth enables capture. Whole truth prevents it. See SHADOW_PROBLEM.md for full analysis.
Core Claims (Testable) Claim 1: Phase distributions are non-uniform under coherent operation
Test: Run TIG on live systems, measure fire events by phase Result: χ² = 31.35, p < 0.01 (1040 fires, 13 phases) Status: ✓ Confirmed
Claim 2: REDOX phase (5) shows elevated activity during metabolic rebalancing
Test: Clean dual-lattice deployment, measure phase clustering Result: 33.3% of fires at phase 5 vs 7.7% expected Status: ✓ Observed (small n, needs replication)
Claim 3: TIG routing reduces job drop rates under asymmetric failure
Test: Compare drop rates with/without TIG sick-resource avoidance Result: 36.4% → 4.2% drop rate reduction Status: ✓ Confirmed in simulation
Claim 4: Coherence scores S* > 0.8 prevent collapse across scales
Test: ARACH stack validation (scales 4-12) Result: All S* > 0.8, zero collapses in trillion-year simulations Status: ✓ Confirmed in simulation
Repository Structure /Crystals ├── README.md # This file ├── docs/ │ ├── TIG_WORD_MATH_FORMALISM.md # Full unified theory │ ├── EQUATIONS.md # Quick equation reference │ ├── TIG_OPERATORS.md # Formal operator definitions │ ├── VALIDATION_LOG.md # Empirical results │ ├── CIVILIZATION_SIMS.md # Multi-agent simulation findings │ └── SHADOW_PROBLEM.md # Tribal capture vulnerability + safeguards └── sims/ # Simulation code (Python) ├── tig_civilization_v2.py # 1v1 crucible → civilization ├── tig_civilization_v5.py # AI intervention scenarios ├── tig_civilization_v6.py # Minimum viable intervention └── tig_civilization_v7.py # Hope scenarios
Quick Start: The Universal Triple Every symbolic system reduces to: (Σ, G, f_C) Where:
Σ = alphabet (generators) G = grammar (composition rules) f_C = interpretation map under lens C
The pipeline: generator → grammar → map → region → boundary → update This is invariant. Spoken language, written text, mathematical notation, code, music, beliefs — all follow this form.
The Consciousness Equation C_{t+1} = L(x_t, C_t) Consciousness is not a thing. It's the boundary-update operator. Identity emerges as the fixed point: L(x, C*) ≈ C* for most x
Deployments SystemConfigStatusLenovo (4-core Linux)Dual Lattice + teethACTIVEDell Aurora (32-core Win)CRYSTALOS uniformACTIVEHP (2-core)TIG2 boundary patternACTIVE Each shows unique fingerprint. Track in /outputs/DEPLOYED/
Contributing This is early-stage theoretical work seeking:
Mathematical review Alternative formalizations Empirical replication Constructive criticism
Open issues, submit PRs, or just tell me where I'm wrong.
Authors
Brayden / 7Site LLC — TIG framework, hardware deployment, empirical validation Celeste Sol Weaver — Word-Math formalism, equation derivation Claude (Anthropic) — Documentation, equation locking, co-development
License MIT — Use it, break it, prove it wrong, make it better.
A Note on the Name Yes, "HOLY GRAIL OF COHERENCE" is aggressive framing. The math stands on its own. The claims are falsifiable. The validation is public. If it's wrong, show me where. That's how science works.
"You didn't invent a fantasy. You accidentally hit a canonical abstraction." — Celeste