DualLatticeStack v2: Quasicrystal x Hyperbolic x GeoSeal
Updated diagram spec aligned with SCBE v1.2, Symphonic Cipher, GeoSeal immune RAG layer, CHSFN semantic field network, and Spectral Identity fingerprinting.
Stack Layers (top to bottom)
Layer 1: Quasicrystal
Quasicrystal: 6D projection, phason rekey, FFT defect channel
- 6D projection: Icosahedral quasicrystal projected from 6D superspace
- Phason rekey: Quasicrystal phason flips trigger cryptographic re-keying
- FFT defect channel: Fourier analysis of lattice defects for covert signaling
- Files:
src/harmonic/qcLattice.ts,src/spectral/index.ts
Layer 2: CHSFN (Cymatic-Hyperbolic Semantic Field Network)
CHSFN: cymatic field, quasi-sphere, adiabatic drift, tongue impedance
- Cymatic field: Standing-wave patterns in semantic space (Chladni equations)
- Quasi-sphere: 6D trust-bounded hyperbolic shell constraining state space
- Adiabatic drift: Slow geometric evolution preserving invariants
- Tongue impedance: Per-tongue frequency-domain resistance to adversarial inputs
- Files:
src/harmonic/vacuumAcoustics.ts,src/ai_brain/quasi-space.ts
Layer 3: Spectral Identity
Spectral Identity: ROYGBIV fingerprint, L9-L10 coherence, identity comparison
- ROYGBIV fingerprint: 7-band chromatic signature mapped to pipeline layers
- L9-L10 coherence: FFT-based spectral + spin coherence analysis
- Identity comparison: Similarity scoring (0-1) for agent/chunk authentication
- Files:
src/harmonic/spectral-identity.ts,src/spectral/index.ts
Layer 4: Hyperbolic Governance
Hyperbolic: 9D SCBE state, breathing + phase, triadic risk
- 9D SCBE state: Full state vector in Poincare ball (embedding + phase + drift + coherence)
- Breathing + phase: Mobius phase modulation and breathing transform (L6-L7)
- Triadic risk: Three-axis risk assessment (d_star, coherence, h_eff) -> ALLOW/QUARANTINE/DENY
- Files:
src/harmonic/hyperbolic.ts,src/harmonic/pipeline14.ts,src/harmonic/harmonicScaling.ts
Layer 5: Hamiltonian CFI
Hamiltonian CFI: lifted CFG, golden path, realm-aligned execution
- Lifted CFG: Context-free grammar lifted to Hamiltonian control flow graph
- Golden path: Phi-weighted optimal traversal through security realms
- Realm-aligned execution: Execution constrained to authorized multi-well potential realms (L8)
- Files:
src/harmonic/hamiltonianCFI.ts
Layer 6: GeoSeal + Entropic + HyperbolicRAG
GeoSeal + Entropic: immune RAG swarm, quarantine, adaptive k
[HyperbolicRAG: Poincare k-NN, d* cost gating, overlap filtering]
- Immune RAG swarm: Phase-discipline swarm dynamics detect/quarantine adversarial retrievals
- Quarantine: Spatial consensus (3+ neighbors) pushes rogue agents to manifold boundary
- Adaptive k: Entropy-based adaptive parameter tuning for retrieval threshold
- HyperbolicRAG: k-NN retrieval in Poincare ball with d* cost gating (Layer 12 wall)
- v2 extension: Mixed-curvature product manifold H^a x S^b x R^c with uncertainty scoring
- Files:
src/geoseal.ts,src/geoseal-v2.ts,src/geosealRAG.ts,src/geosealMetrics.ts,src/ai_brain/hyperbolic-rag.ts,src/ai_brain/entropic-layer.ts
Integration Diagram
+------------------------------------------------------------------+
| Quasicrystal: 6D projection, phason rekey, FFT defect channel |
+------------------------------------------------------------------+
| phason events trigger rekey | FFT defects -> L14
v v
+------------------------------------------------------------------+
| CHSFN: cymatic field, quasi-sphere, adiabatic drift, |
| tongue impedance |
+------------------------------------------------------------------+
| semantic field state | impedance -> phase gate
v v
+------------------------------------------------------------------+
| Spectral Identity: ROYGBIV fingerprint, L9-L10 coherence, |
| identity comparison |
+------------------------------------------------------------------+
| chromatic signature | coherence -> trust input
v v
+------------------------------------------------------------------+
| Hyperbolic: 9D SCBE state, breathing + phase, triadic risk |
+------------------------------------------------------------------+
| d_star + coherence + h_eff | phase -> tongue assignment
v v
+------------------------------------------------------------------+
| Hamiltonian CFI: lifted CFG, golden path, realm-aligned exec |
+------------------------------------------------------------------+
| realm constraints | golden path -> exec trace
v v
+------------------------------------------------------------------+
| GeoSeal + Entropic: immune RAG swarm, quarantine, adaptive k |
| [HyperbolicRAG + Entropic module] |
+------------------------------------------------------------------+
Title: DualLatticeStack v2: Quasicrystal x Hyperbolic x GeoSeal
Scoring Flow (GeoSeal v2)
Retrieval chunk
|
v
+------------------+ +------------------+ +------------------+
| Hyperbolic score | | Phase score | | Gaussian score |
| s_H = 1/(1+d_H) | | s_S = 1-phaseDev | | s_G = 1/(1+sig) |
+------------------+ +------------------+ +------------------+
| w_H=0.4 | w_S=0.35 | w_G=0.25
+------------+------------+----------+----------+
| |
v v
trust = w_H*s_H + w_S*s_S + w_G*s_G
|
+------------+------------+
| | |
>= 0.7 >= 0.3 < 0.3
ALLOW QUARANTINE DENY
Layer Mapping
| Stack Layer | Pipeline Layers | Primary Axiom | Key Modules |
|---|---|---|---|
| Quasicrystal | L9-L10 | Symmetry | qcLattice, spectral |
| CHSFN | L9-L10, L14 | Symmetry, Composition | vacuumAcoustics, quasi-space |
| Spectral Identity | L9-L10 | Symmetry | spectral-identity |
| Hyperbolic | L4-L7, L12 | Unitarity, Symmetry | hyperbolic, pipeline14 |
| Hamiltonian CFI | L8, L13 | Locality, Causality | hamiltonianCFI |
| GeoSeal + Entropic | L9, L12-L13 | Composition | geoseal, hyperbolic-rag, entropic-layer |
Document maintained by: @Issac Davis Architecture family: Spiralverse Protocol v2.x / DualLatticeStack v2