Glossary
Source: ../docs/GLOSSARY.md · ../docs/VOCABULARY_LOCK.md · ../CONCEPTS.md
Core Formalism
| Term |
Definition |
| bind |
The single universal primitive: (A × B × Metric) → Bind A B. All algorithms collapse to this. Five allowed classes: informational, geometric, thermodynamic, physical, control. |
| Q16_16 |
32-bit fixed-point (UInt32, 0x00010000 = 1.0). Mixed integer + fraction. Last-resort only. |
| Q0_16 |
16-bit fixed-point (UInt16), pure fraction [-1, 1]. Default for dimensionless quantities. |
| Q0_64 |
64-bit 0D scalar [0, 1). Universal scalar for cross-substrate communication. |
| FixedPoint |
Formal module (Semantics.FixedPoint) defining both Q16_16 and Q0_16 arithmetic. |
| AMMR |
Algebraic Merkle Mountain Range — hierarchical cryptographic accumulator over equation forest nodes. |
| AVMR |
Adaptive Vector Manifest Roll-up — hierarchical summary of vector manifolds across substrates. |
| O-AMMR |
Ordered AMMR — AMMR with explicit dependency ordering on the equation DAG. |
| BraidField |
Path-sensitive field B(t) through which information carriers are rotated to expose phase/charge instability. |
| BracketedCalculus |
Gap-conserving bound calculus: ⟨l, u, v, g_l, g_u⟩. Substrate #35. |
Geometry
| Term |
Definition |
| PIST |
Perfectly Imperfect Square Theory — witness/audit surface. States: (k, t) ∈ ℕ². Invariant: mass conservation. |
| DIAT |
Dynamic Integer-Address Transform — shell coordinate system for energy cell quantization. |
| NUVMAP |
Non-Uniform Variable Mapping — 2D spectral projection (u, v). |
| GWL |
Gravitational-Wave-Like topology — 5-factor rotational coupling geometry (θ, φ, τ, χ, proximity). |
| S3C |
Shell/Topological Codec — energy cell quantization into n² + m integer shells. |
| SSMS_nD |
Nested self-similar manifold shell — recursive fractal dimension descent. |
| Goxel |
Geometric voxel — N-space shape primitive. |
| SolitonTensor |
Nonlinear persistent wave on the manifold with conserved identity (Sine-Gordon energy). |
| TorsionalPIST |
Quaternion-valued PIST extension: (q₁, q₂, q₃) ∈ ℚ³. |
Compression
| Term |
Definition |
| GCCL |
Geometric, Cognitive, and Compression Law — the unified law stack spanning all substrates. |
| MISC |
Manifold-Invariant Shell Compression — compression via shell coordinate encoding on the manifold. |
| GENSIS |
Genetic-Natured N-Space universal encoding substrate — MISC extended with biological/genetic coding systems. |
| DeltaGCL |
Differential GCL — compact representation of differences between successive manifold states. |
| PTOS |
Photonic Topological Optical Storage — photon-pulse-based read/write of crystal substrate topology. |
| KOT |
Kinetic Operation Token — accounting layer for action cost. Every transformation pays. |
| VLE |
Variable-Length Encoding — adaptive symbol encoding based on frequency/basin statistics. |
| ΔφγKλ |
Delta-phase-gamma-kappa-lambda — complete differential encoding across phase, gamma, curvature, and wavelength. |
Biology / Neural
| Term |
Definition |
| SpikingNeuron |
Izhikevich model: (v, u, I) with membrane potential dynamics. |
| STDP |
Spike-Timing-Dependent Plasticity: Δw = A·exp(-Δt/τ). |
| GeneticCode |
Codon → amino acid mapping with 30+ variant tables. 64 codons, 20+ AAs. |
| CodonOptimization |
Codon reassignment driven by CAI (Codon Adaptation Index). |
| DNAmethylation |
Epigenetic mark — methyl group addition to cytosine. |
| HistoneMod |
Histone tail modification encoding regulatory state. |
| Prion |
Misfolded protein acting as conformational template — Reverse-Sisyphus structural memory. |
Thermodynamics
| Term |
Definition |
| Trixal |
Multi-axis thermodynamic quality state: (thermal, work, irrev). Compression modeled as a heat engine. |
| HomeostaticGovernor |
Control dynamics: pressure evolution p_{t+1} = γ·p_t + s_t. |
| DynamicCanal |
Adaptive canal that deforms under pressure. |
| Landauer |
Principle: minimum energy kT·ln2 per bit erasure. |
| HyperFlow |
Navier-Stokes on the manifold: ∂F/∂t = ν∇²F - (F·∇)F + ∇p. |
| CognitiveLoad |
5-component load model: (L_I, L_E, L_G, L_R, L_M). |
| Reverse-Sisyphus |
Property: dC/dt = f(W, C) AND E[W(t+Δ)] < E[W(t)] — work reduces future work. |
Security
| Term |
Definition |
| AngrySphinx |
Exponential energy asymmetry: E_attack = n ⟹ E_solve ≥ 2^n. NaN boundary at F → 0. |
| FAMM |
Frustration-Aligned Memory Management — stores failed/partial/successful routes as basin/scar signals. |
| FrustrationTensor |
Triadic frustration tensor (i, j, k) storing route constraint violation. |
| NaNBoundary |
Limit surface where frustration metric F → 0, returning undefined. |
| PodAccumulator |
Distributed attestation accumulator collecting PIST witness signatures. |
| Waveprobe |
Hysteretic mode-switch security sensor with barriers B_lock > B_warn > B_recover. |
Semantics
| Term |
Definition |
| CrossDimensionalFilter |
Semantic filter operating across dimensions via 12 primal primes. |
| SemanticPrime |
One of 12 irreducible meaning atoms. |
The 12 Semantic Primes:
| # |
Prime |
Description |
| 1 |
Identity |
Self-reference, what a thing is |
| 2 |
Agent |
Active entity, actor |
| 3 |
Object |
Passive entity, thing acted upon |
| 4 |
Action |
Event, process, doing |
| 5 |
State |
Condition, property, mode |
| 6 |
Relation |
Connection, link, between |
| 7 |
Good |
Positive valence, desirable |
| 8 |
Bad |
Negative valence, undesirable |
| 9 |
Want |
Desire, intent, goal |
| 10 |
Know |
Knowledge, belief, awareness |
| 11 |
Place |
Location, space, where |
| 12 |
Time |
Temporal, when, duration |
Meta
| Term |
Definition |
| Metatype |
Trajectory quality invariant — formal classification of agent trajectory behavior patterns. |
| UMUP-λ |
Universal Manifold Update Protocol — λ-parameterized update rule across all manifolds. |
| IRP |
Invariant Receipt Protocol — auditable proof that a transition preserved the declared invariant. |
| SettlementState |
Ladder: SEED → FORMING → STABLE → CRYSTALLIZED → COMPRESSED. |
| PromotionLadder |
BEAUTIFUL_PROVISIONAL → CALIBRATED_ENGINEERING_DELTA → REVIEWED → VERIFIED. |
| BLS |
Bounded Lawful Surface — set of transitions expressible under declared constraints. |
| FNWH |
Formal Non-Wave Harmonic — underlying harmonic framework for Burgers/Braiding proofs. |
Infrastructure
| Term |
Definition |
| ENE |
Endless Node Edges — distributed credential and node management with gossip protocol. |
| OTOM |
Ordered Transformation & Orchestration Model — unifying label for all Research Stack work. |
| NII |
Native Integer ISA — executable control layer (Semantics.ISA). |
| Substrate |
A mathematical layer with: state space, metric, transition, invariant, guard. |
| FPGA_Warden |
FPGA-based Warden node executing stark_trace validation on burned DAG-LUTs. |
| CacheSieve |
5×2-bit symbol classifier (PASS/HOLD/REJECT). |
| MORE_FAMM |
Capability-based memory isolation via BRAM segments. |
The 36 USTSM Substrates
| # |
Substrate |
Invariant |
| 1 |
PIST/DIAT Shell |
mass conservation |
| 2 |
GWL Rotational |
dE/dt ≤ 0 |
| 3 |
AngrySphinx |
E_solve ≥ 2^n |
| 4 |
CrossDimensionalFilter |
semantic prime preservation |
| 5 |
SSMS_nD |
self-similarity invariant |
| 6 |
FAMM Frustration |
frustration monotonic |
| 7 |
SolitonTensor |
soliton identity |
| 8 |
TorsionalPIST |
quaternion norm |
| 9 |
HybridTSMPISTTorus |
positive mass only |
| 10 |
HyperFlow |
fixed point convergence |
| 11 |
Q16_16 FixedPoint |
totality (no NaN) |
| 12 |
Q0_64 0D Scalar |
stay in [0,1) |
| 13 |
Trixal Thermodynamic |
irrev < threshold |
| 14 |
Cognitive Load |
efficiency ≥ 0 |
| 15 |
Homeostatic Governor |
pressure bounded |
| 16 |
Genetic Code |
codon validity |
| 17 |
Genomic Compression |
field invariant |
| 18 |
Codon Optimization |
CAI monotonic |
| 19 |
Delta GCL |
delta(m,m) = empty |
| 20 |
Spiking Neuron |
v < 30 mV until fire |
| 21 |
STDP Synaptic |
bounds conserved |
| 22 |
Manifold Networking |
curvature bounded |
| 23 |
Quantum Geometry |
observational fit |
| 24 |
GWL Throat |
holonomy bounded |
| 25 |
Braid Field |
mergeDebt ≤ threshold |
| 26 |
Adaptation |
isLawful, params in range |
| 27 |
DynamicCanal |
width ≥ 0 |
| 28 |
CompressionMechanics |
order contracts |
| 29 |
PIST Bridge |
O(1) per step |
| 30 |
Waveprobe |
B_lock > B_warn > B_recover |
| 31 |
MasterEquation |
probability sum = 1 |
| 32 |
CompressionControl |
canonicalized |
| 33 |
CompressionEvidence |
energy decomposes |
| 34 |
ASICTopology |
operation admissible |
| 35 |
BracketedCalculus |
g_l + g_u = u − l |
| 36 |
CacheSieve |
sieve invariant |
Quick Reference: Framework Hierarchy
GCCL = Law Stack (what must be preserved)
│
├── MISC = Compression Engine (how it runs)
│ Uses: PIST shells, GWL coupling, Cognitive Router, Trixal Verify
│ │
│ └── GENSIS = N-D Extension (genetic codes + hypercubic shells)
│
└── USTSM = Substrate Census (36 substrates under one Q0_64 scalar)
Quick Reference: Data Flow
Raw Data → PIST Remap → GWL Coupling → Cognitive Router → Delta GCL → Trixal Verify → Homeostatic Update → Output + Receipt
For the full authoritative glossary with additional entries, see ../docs/GLOSSARY.md.
