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


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