SCBE-AETHERMOORE Technical Reference
This document contains the full technical specification. For a high-level overview, see the README.
14-Layer Pipeline Architecture
14-LAYER PIPELINE
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Layer 1-2: Complex Context → Realification
Layer 3-4: Weighted Transform → Poincaré Embedding
Layer 5: dℍ = arcosh(1 + 2‖u-v‖²/((1-‖u‖²)(1-‖v‖²))) [INVARIANT]
Layer 6-7: Breathing Transform + Phase (Möbius addition)
Layer 8: Multi-Well Realms
Layer 9-10: Spectral + Spin Coherence
Layer 11: Triadic Temporal Distance
Layer 12: H(d,R) = R^(d²) [HARMONIC WALL]
Layer 13: Risk' → ALLOW / QUARANTINE / DENY
Layer 14: Audio Axis (FFT telemetry)
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Quantum Axiom Mesh (5 axioms organizing 14 layers)
| Axiom | Layers | Property |
| Unitarity | 2, 4, 7 | Norm preservation |
| Locality | 3, 8 | Spatial bounds |
| Causality | 6, 11, 13 | Time-ordering |
| Symmetry | 5, 9, 10, 12 | Gauge invariance |
| Composition | 1, 14 | Pipeline integrity |
The Langues Metric
L(x,t) = Σ w_l exp(β_l · (d_l + sin(ω_l t + φ_l)))
Canonical reference: LANGUES_WEIGHTING_SYSTEM.md
Profile mode must be declared:
lws (linear/base ops): 1.000, 1.125, 1.250, 1.333, 1.500, 1.667phdm (golden/governance): φ^(l-1) -> 1.000, 1.618, 2.618, 4.236, 6.854, 11.090
Six Sacred Tongues:
| Tongue | Phase | Typical omega multiplier |
| KO | 0° | 1 |
| AV | 60° | 2 |
| RU | 120° | 3 |
| CA | 180° | 4 |
| UM | 240° | 5 |
| DR | 300° | 6 |
Fluxing Dimensions
L_f(x,t) = Σ νᵢ(t) wᵢ exp[βᵢ(dᵢ + sin(ωᵢt + φᵢ))]
Flux ODE: ν̇ᵢ = κᵢ(ν̄ᵢ - νᵢ) + σᵢ sin(Ωᵢt)
| ν Value | State | Meaning |
| ν ≈ 1.0 | Polly | Full dimension active |
| 0.5 < ν < 1 | Quasi | Partial participation |
| 0 < ν < 0.5 | Demi | Minimal participation |
| ν ≈ 0.0 | Collapsed | Dimension off |
Roundtable Multi-Signature Governance (Exponential Security Scaling)
| Tier | Tongues Required | Signatures | Security Multiplier | Use Cases |
| 1 | 1 (KO) | Single | 1.5× | Basic coordination, status updates |
| 2 | 2 (KO+RU) | Dual | 5.06× | State modifications, config changes |
| 3 | 3 (KO+RU+UM) | Triple | 38.4× | Security operations, key rotation |
| 4 | 4 (KO+RU+UM+CA) | Quad | 656× | Irreversible ops (deploy, delete) |
| 5 | 5 (All except one) | Quint | 14,348× | Critical infrastructure changes |
| 6 | 6 (All tongues) | Full Roundtable | 518,400× | Genesis-level operations, system reboot |
Benchmark Results
SCBE (Harmonic + Langues): 95.3%
ML Anomaly Detection: 89.6%
Pattern Matching: 56.6%
Linear Threshold: 38.7%
Python API Usage
from symphonic_cipher.scbe_aethermoore.axiom_grouped import (
LanguesMetric, FluxingLanguesMetric, DimensionFlux,
HyperspacePoint, verify_all_axioms
)
# Create metric
metric = LanguesMetric(beta_base=1.0)
# Assess a state
state = HyperspacePoint(intent=0.5, trust=0.8, risk=0.2)
L = metric.compute(state)
risk, decision = metric.risk_level(L)
print(f"L={L:.2f} → {risk} → {decision}")
# With fluxing dimensions
flux_metric = FluxingLanguesMetric(flux=DimensionFlux.quasi())
L_f, D_f = flux_metric.compute_with_flux_update(state)
print(f"L_f={L_f:.2f}, effective_dim={D_f:.2f}")
Post-Quantum Cryptography (PQC)
Quantum-safe encryption using NIST-approved algorithms:
| Algorithm | Purpose | Size |
| Kyber768 | Key exchange | 1184 byte public key |
| Dilithium3 | Digital signatures | 3293 byte signature |
from symphonic_cipher.scbe_aethermoore.pqc import Kyber768, Dilithium3
# Key exchange
keypair = Kyber768.generate_keypair()
result = Kyber768.encapsulate(keypair.public_key)
shared_secret = Kyber768.decapsulate(keypair.secret_key, result.ciphertext)
# Signatures
sig_keys = Dilithium3.generate_keypair()
signature = Dilithium3.sign(sig_keys.secret_key, b"message")
is_valid = Dilithium3.verify(sig_keys.public_key, b"message", signature)
Quasicrystal Lattice
6D → 3D projection for geometric verification:
- Phason Shift: Instant key rotation without changing logic
- Crystallinity Detection: Catches periodic attack patterns
- Golden Ratio: Icosahedral symmetry (never-repeating patterns)
PHDM (16 Polyhedra)
| Type | Shapes | Count |
| Platonic | Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron | 5 |
| Archimedean | Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron | 3 |
| Kepler-Poinsot | Small Stellated Dodecahedron, Great Dodecahedron | 2 |
| Toroidal | Szilassi, Császár | 2 |
| Johnson | Pentagonal Bipyramid, Triangular Cupola | 2 |
| Rhombic | Rhombic Dodecahedron, Bilinski Dodecahedron | 2 |
Symphonic Cipher (Audio Authentication)
Architecture
[Conlang Phrase] → [Token IDs] → [Feistel Permutation] → [Harmonic Synthesis]
↓
[DSP Chain: Gain → EQ → Compression → Reverb → Panning]
↓
[RWP v3 Envelope: HMAC-SHA256 + Nonce + Timestamp]
↓
[Verification: MAC Check + Harmonic Analysis + AI Classification]
Modality Encoding
| Modality | Mask M(M) | Description |
| STRICT | {1, 3, 5} | Odd harmonics (binary intent) |
| ADAPTIVE | {1, 2, 3, 4, 5} | Full series (non-binary intent) |
| PROBE | {1} | Fundamental only |
Constants
| Symbol | Value | Description |
| f₀ | 440 Hz | Base frequency (A4) |
| Δf | 30 Hz | Frequency step per token ID |
| H_max | 5 | Maximum overtone index |
| SR | 44,100 Hz | Sample rate |
| T_sec | 0.5 s | Waveform duration |
| R | 4 | Feistel rounds |
| τ_max | 60,000 ms | Replay window |
| ε_f | 2 Hz | Frequency tolerance |
| ε_a | 0.15 | Amplitude tolerance |
References
- HMAC-SHA256: RFC 2104
- Feistel Networks: Luby-Rackoff, 1988
- Biquad Filters: Audio EQ Cookbook
- MFCC: Davis & Mermelstein, 1980
- Kyber: NIST PQC Round 3 Winner
- Dilithium: NIST PQC Round 3 Winner
- Icosahedral Quasicrystals: Shechtman et al., 1984
- Poincaré Ball Model: Hyperbolic Geometry
- Möbius Addition: Gyrogroup Theory