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SCBE TECHNICAL GLOSSARY

Alphabetical Index of Patent Terms

A

Adaptive K-Controller

  • Definition: Dynamic cryptographic key length adjustment mechanism responding to quantum threat estimates
  • Formula: k ∈ [128, 512] bits, adjusted based on threat level τ
  • Patent Claims: 19, 20
  • Purpose: Increases computational work factor preemptively when quantum attacks detected

Anomalous Agent

  • Definition: Agent exhibiting chaotic decimal drift patterns (δ increasing monotonically)
  • Detection: Multi-dimensional correlation across 3+ context dimensions
  • Patent Claims: 14(c), 18
  • Response: Immediate quarantine + entropy sink deployment
  • See Also: Decimal Drift, Explorer Tag

Attack Cost Function

  • Definition: Super-exponential computational cost for adversaries
  • Formula: Cost(d) = base_cost × H(d,R) = base_cost × R^(1+d²)
  • Patent Claims: 1, 6, 18
  • Measured: 25,251× harder at d=10 dimensions
  • See Also: Harmonic Scaling, Entropy Sink

C

Coherence Score

  • Definition: Numerical measure of intent trajectory consistency over time
  • Formula: S(τ) = Σᵢ wᵢ D(cᵢ, cᵢ₋₁) where D is weighted Euclidean distance
  • Patent Claims: 1, 3, 10, 11
  • Threshold: τ < 2.0 for valid trajectories
  • See Also: Mahalanobis Distance, Metric Tensor

Complex Spin Vector

  • Definition: Phase-modulated component encoding emotional/priority states
  • Formula: z = |z|e^(iθ) where θ encodes semantic domain
  • Patent Claims: 2, 12, 13, 15
  • Projection: f(z) = [|z|cosθ, |z|sinθ] preserves phase as geometric angle
  • See Also: Phase Modulation, Wave Interference

Context Vector (6D)

  • Definition: Six-dimensional representation of agent state
  • Components:
    1. v₁: Identity (hardware root-of-trust)
    2. v₂: Intent (complex value with phase/magnitude)
    3. v₃: Trajectory (coherence score)
    4. v₄: Timing (phase-lock value)
    5. v₅: Commitment (cryptographic hash)
    6. v₆: Signature (lattice-based digital signature)
  • Patent Claims: 1, 7
  • Space: Embedded in weighted geometric manifold
  • See Also: Geometric Manifold, Metric Tensor

Cox Constant (c)

  • Definition: Self-referential equilibrium point where c = e^(π/c)
  • Value: c ≈ 2.9265358979...
  • Derivation: Newton-Raphson on f(x) = x - e^(π/x)
  • Patent Claims: TAHS equilibrium
  • See Also: Harmonic Scaling

D

Decimal Drift (δ)

  • Definition: Non-integer component of state value indicating instability
  • Formula: δ = s - floor(s) where s is observed state
  • Patent Claims: 14, 15, 16, 17, 18
  • Classification:
    • δ < 0.35: STABLE
    • 0.35 ≤ δ < 0.50: DRIFTING
    • δ ≥ 0.50: ANOMALOUS
  • Key Innovation: Continuous signal vs binary classification
  • See Also: Multi-State Encoding, Variable Drift

Destructive Interference

  • Definition: Wave cancellation technique for malicious intent signals
  • Formula: counter_wave = -1 × threat_spectrum × amplification
  • Patent Claims: 13, 15
  • Purpose: Active neutralization of attack signals
  • See Also: Wave Interference, Inverse Phase Injection

E

Emotional Spin Wave

  • Definition: Phase-encoded representation of agent intent mood/urgency
  • Formula: v(t) = A · e^(i(ωt + φ))
  • Parameters:
    • A: Amplitude [0.2, 1.5]
    • ω: Frequency (0.1 stable, 1.0 reactive)
    • φ: Phase offset [0, 2π]
  • Patent Claims: 12, 13, 15
  • See Also: Complex Spin Vector, Intent Signature

Entropic Expansion Sink

  • Definition: Defensive mechanism that grows keyspace faster than attacks probe
  • Property: dW/dt > quantum_search_rate
  • Formula: N(t) = N₀ · e^(kt), Progress P(t) → 0 as t → ∞
  • Patent Claims: 18, 19, 20
  • Analogy: "Target moves faster than search beam"
  • See Also: Attack Cost Function, Golden Ratio

Explorer Tag

  • Definition: Fractional trust weight (e.g., 0.3i) assigned to suspicious agents
  • Purpose: Quarantine with monitoring (not immediate banishment)
  • Patent Claims: 14, 16, 17
  • Self-Healing: Can be restored to 1.0 if agent stabilizes
  • See Also: Hive Triage, Anomalous Agent

F

FFT (Fast Fourier Transform)

  • Definition: Spectral decomposition of intent trajectories into frequency components
  • Formula: X[k] = Σₙ c[n] · e^(-i2πkn/N)
  • Application: Detects periodicity patterns indicating hallucination/injection
  • Patent Claims: 9, 10, 11
  • Anomaly Threshold: High-freq ratio r > 0.4
  • See Also: Spectral Intent Decomposition

Forward-Secure Ratchet

  • Definition: Cryptographic key evolution with automatic past-state deletion
  • Property: Compromise at time t doesn't reveal keys at time t-1
  • Patent Claims: 20
  • See Also: Temporal Lattice, Phase Lock

G

Geometric Manifold

  • Definition: Weighted 6D+ space where context vectors are embedded
  • Metric: Riemannian metric with tensor G = diag([1,1,1,φ,φ²,φ³])
  • Patent Claims: 1, 2, 3
  • Curvature: Hyperbolic (κ > 0) for defensive amplification
  • See Also: Hyperbolic Embedding, Metric Tensor

Golden Ratio (φ)

  • Value: φ = (1+√5)/2 ≈ 1.618033988749895
  • Properties:
    • φ² = φ + 1
    • 1/φ = φ - 1
    • "Most irrational" number
  • Usage: Geometric parameter R_g controlling metric tensor weights
  • Patent Claims: 1, 7
  • See Also: Harmonic Scaling, Metric Tensor

H

Harmonic Scaling Function H(d,R)

  • Definition: Work-factor function producing super-exponential cost growth
  • Formula: H(d,R) = R^(1+d²)
  • Hardened v4.0: H(d,R_h) = R_h^(d²) (neutral at d=0)
  • Patent Claims: 1, 2, 3, 4, 6, 7, 8
  • Parameters:
    • R_h = 1.5 (locked)
    • R_g = φ (locked)
    • d: Divergence score
  • Measured Advantage: +101.76 bits at d=1.0
  • See Also: Attack Cost Function, Entropic Expansion

Hyperbolic Embedding

  • Definition: Projection of context vectors into negatively-curved space
  • Formula: h(c) = c / (1 + κ||c||²)
  • Distance: d_h = arccosh(1 + 2||u-v||² / ((1-||u||²)(1-||v||²)))
  • Patent Claims: 3, 16
  • Property: Exponential distance growth near boundary
  • Purpose: Amplifies decimal drift for early anomaly detection
  • See Also: Poincaré Disk, Geometric Amplification

I

Intent Signature

  • Definition: Spectral FFT fingerprint of agent's behavioral trajectory
  • Components: Frequency distribution, phase relationships, timbre metrics
  • Patent Claims: 10, 11, 12
  • Detection: Dissonant patterns indicate hallucination/injection
  • See Also: FFT, Spectral Intent Decomposition

Inverse Phase Injection

  • Definition: Counter-attack technique generating 180° phase-shifted wave
  • Formula: counter_wave = ifft(-1 × fft(threat_trajectory)) × 2.0
  • Effect: Destructive interference cancels malicious signal
  • See Also: Destructive Interference

K

Klein Bottle Topology

  • Definition: Non-orientable 4D manifold for intent+time subspace
  • Properties:
    • Orientation-reversing (automatic negative flip)
    • No inside/outside boundary
    • Resolves infinite loop paradoxes
  • Parametric: x,y,z,w functions of (u,v) with R = φ²
  • Patent Claims: 19 (proposed)
  • See Also: Geometric Manifold, Reverse Gravity

L

Lattice-Based Signature

  • Definition: Post-quantum digital signature using ML-DSA-65 (Dilithium)
  • Component: v₆ of 6D context vector
  • Patent Claims: 7, 14
  • Security: Resistant to Shor's algorithm
  • See Also: ML-DSA, NIST PQC Standards

Lyapunov Exponent (λ)

  • Definition: Measure of chaotic divergence in trajectory dynamics
  • Threshold: λ > 0.1 indicates chaos (anomalous)
  • Patent Claims: 21
  • Purpose: Certifies chaotic containment of attacks
  • See Also: Chaotic Trajectory Dynamics

M

Mahalanobis Distance

  • Definition: Metric tensor-weighted distance between context vectors
  • Formula: D(c₁,c₂) = √((c₁-c₂)* G (c₁-c₂))
  • Patent Claims: 3, 7
  • See Also: Metric Tensor, Coherence Score

Mars Frequency

  • Value: 144.72 Hz
  • Derivation: (Mars orbital period in seconds)⁻¹ × 2³³
  • Purpose: Natural harmonic reference frequency
  • See Also: Harmonic Scaling

Metric Tensor (G)

  • Definition: Weight matrix controlling distance computation in manifold
  • Formula: G = diag([1, 1, 1, R_g, R_g², R_g³])
  • Patent Claims: 1, 7
  • Purpose: Emphasizes temporal/commitment dimensions over identity
  • See Also: Geometric Manifold, Golden Ratio

ML-KEM (Kyber)

  • Definition: NIST-standardized post-quantum key encapsulation mechanism
  • Parameter Set: ML-KEM-768 (security level 3)
  • Patent Claims: 7, 14, 16
  • Context Binding: Decryption requires manifold validation
  • See Also: Post-Quantum Cryptography

Multi-State Encoding

  • Definition: Base-6 state representation (0-5) instead of binary
  • Entropy: ~2.58 bits per position vs. 1 bit for binary
  • Patent Claims: 14, 15
  • Semantic Mapping:
    • 0: Null/undefined
    • 1-2: Low priority
    • 3-4: Medium priority
    • 5: Critical/urgent
  • See Also: Decimal Drift, Variable State

O

Omni-Directional Intent Propagation

  • Definition: Broadcast of intent waves to all agents in swarm topology
  • Formula: w(r,t) = (A/r) · sin(kr - ωt + φ)
  • Pattern: Star-mesh hybrid with wave superposition
  • Patent Claims: 15, 16
  • Coordination: Constructive = harmony, destructive = conflict
  • See Also: Wave Interference, Swarm Dynamics

P

Phase Lock

  • Definition: Temporal synchronization between sender and receiver
  • Component: v₄ of 6D context vector
  • Patent Claims: 4, 15
  • Tolerance: ±30ms deviation threshold
  • Failure Mode: Produces decimal drift when misaligned
  • See Also: Temporal Consistency Gate

Phase Modulation

  • Definition: Encoding semantic information as complex phase angle θ
  • Formula: s_effective = round(s_base · cos(θ) + s_base · sin(θ) · w_imag)
  • Patent Claims: 15
  • Purpose: Creates cryptographic key dependency
  • See Also: Complex Spin Vector, Decimal Drift

Poincaré Disk

  • Definition: Hyperbolic space model with boundary at unit circle
  • Embedding: Projects 6D context vectors into curved space
  • Patent Claims: 16
  • Property: Distance → ∞ as radius → 1
  • See Also: Hyperbolic Embedding

Post-Quantum Cryptography (PQC)

  • Definition: Cryptographic algorithms resistant to quantum attacks
  • Standards: NIST FIPS 203 (ML-KEM), FIPS 204 (ML-DSA)
  • Patent Claims: 7, 14, 25
  • See Also: ML-KEM, Lattice-Based Signature

Q

Q16.16 Fixed-Point

  • Definition: Deterministic cross-platform arithmetic format
  • Range: [-32768, 32767.99998]
  • Precision: 1/65536 ≈ 0.000015
  • Purpose: Reproducible calculations across architectures
  • Patent Claims: Implementation detail
  • See Also: Deterministic Computation

Quasicrystal Lattice

  • Definition: Aperiodic tiling structure with φ-based spacing
  • Property: Non-repeating but ordered (Penrose-like)
  • Patent Claims: 25
  • Purpose: Ray-tracing noise generation for lattice crypto
  • See Also: Golden Ratio, Lattice-Based Signature

R

Rational/Irrational Flux

  • Definition: Continuous oscillation between rational and irrational values
  • Mechanism: φ-weighted metric spreads irrationality
  • Detection: δ captures irrational residue
  • Patent Claims: 14-18 (implicit)
  • Security: Attackers can't forge stable rational states
  • See Also: Decimal Drift, Golden Ratio

S

Sacred Tongues (Conlang)

  • Definition: Six constructed language roots at 60° phase intervals
  • Mapping:
    • KO (0°): Origin/identity
    • AV (60°): Affirmation
    • RU (120°): Query/reflection
    • CA (180°): Negation/opposition
    • UM (240°): Uncertainty
    • DR (300°): Completion/closure
  • Patent Claims: 4, 5
  • See Also: Phase Modulation, Emotional Spin

Soliton Propagation

  • Definition: Shape-preserving wave packet from NLSE
  • Formula: ψ(x,t) = A · sech((x-vt)/w) · e^(i(kx-ωt))
  • Property: Maintains coherence over distance
  • Patent Claims: 8 (implicit)
  • See Also: Wave Interference

Spectral Intent Decomposition

  • Definition: FFT analysis of behavioral trajectories
  • Output: Power spectrum P[k] = |X[k]|²
  • Anomaly: High-frequency ratio > 0.4
  • Patent Claims: 9, 10, 11
  • See Also: FFT, Intent Signature

T

Temporal Drift Accumulation

  • Definition: Decay-weighted sum of historical drift values
  • Formula: S_drift = Σᵢ (δᵢ × decay^(M-i))
  • decay_factor: 0.9 (configurable)
  • Patent Claims: 17
  • Classification:
    • EXPLORATORY: Gradual rise then stable
    • OSCILLATORY: Fluctuates (probing)
    • CHAOTIC: Monotonic increase (attack)
  • See Also: Decimal Drift

Temporal Consistency Gate

  • Definition: Phase-lock validation checkpoint
  • Tolerance: Δt < 30ms
  • Response: Reject or Explorer Tag if violated
  • Patent Claims: 4
  • See Also: Phase Lock

V

Variable Drift

  • Definition: Continuous-valued instability metric (vs binary)
  • Range: δ ∈ [0, 1)
  • Key Innovation: Captures gradual state transitions
  • Patent Claims: 14-18
  • See Also: Decimal Drift, Multi-State Encoding

W

Wave Interference

  • Definition: Superposition of multiple agent intent signals
  • Formula: v_total(t) = Σⱼ vⱼ(t)
  • Coherence: |v_total|/M (high = harmony, low = conflict)
  • Patent Claims: 12, 13
  • See Also: Emotional Spin Wave, Destructive Interference

Constants Reference

Constant Value Definition
φ (phi) 1.618033988749... Golden ratio (1+√5)/2
φ² 2.618033988749... φ + 1
φ³ 4.236067977499... φ² + φ
R_h 1.5 Harmonic ratio (locked)
R_g φ Geometric ratio (locked)
κ 1.0 Hyperbolic curvature
τ_stable 0.35 Drift stability threshold
τ_anomaly 0.50 Drift anomaly threshold
c (Cox) 2.9265358979... e^(π/c) equilibrium
Mars freq 144.72 Hz Natural harmonic reference

Claim Cross-Reference

Term Primary Claims
Decimal Drift (δ) 14, 15, 16, 17, 18
Harmonic Scaling H(d,R) 1, 2, 3, 4, 6, 7, 8
Context Vector 6D 1, 7
Complex Spin 2, 12, 13, 15
Hyperbolic Embedding 3, 16
FFT Spectral 9, 10, 11
Phase Modulation 4, 15
Temporal Accumulation 17
Multi-Dimensional Correlation 18
Lattice Crypto (PQC) 7, 14, 25

This glossary is maintained as the authoritative reference for all SCBE patent terminology.