_The working vocabulary of the GDC. Terms are grouped by layer, from the deepest substrate up to what an operator touches. Where a term has a domain-outward alternative (the words an operator actually sees), that's noted._
Geometry of Flows (GOF) — the organizing recognition that geometry, flows, and constraints together constitute a system. One substrate serves every domain because each domain is the same triple with different parameters. GOF is the internal engineering framework, not user-facing language.
Clifford algebra Cl(3,0) — the sealed geometric algebra at the base of the substrate: 8 components across four grades (scalar, vector, bivector, pseudoscalar), with a single invertible operation (the geometric product). All state transitions are expressed in it.
Geometric product — the one operation: uv = u·v + u∧v, combining the dot (alignment) and wedge (the area/rotation spanned) into a single invertible product. Rotations, reflections, and projections are all this product in different arrangements.
Rotor — a unit-norm element that performs rotation via the sandwich product C′ = R C R̃. Rotors preserve the norm exactly, which is why they are the only legitimate state transition.
Multivector — an element of the algebra carrying components across all grades. A codon parameterizes one multivector.
Norm (‖C‖) — the single scalar magnitude of a multivector, √⟨CC̃⟩₀. Its conservation through a transformation is the validity test (see conservation law).
Dark codon — a multivector whose pseudoscalar (chirality) term dominates the rest; a signal of wrong handedness or corruption. It is rejected at the membrane (Lysis).
Codon — one of the 64 generators of the operator algebra; the 8×8 entries of the Cl(3,0) product table, grouped into 8 classes of 8. Distinct from element.
Element — an atomic operation in the 118-element dispatch table (the lowest layer, with valency/bonding rules). Elements bond into codons; codons are not elements.
FUDGESM-Ξ — the eight universal morphisms, each a fixed-angle rotor: Folding, Unfolding, Drift, Governance, Evolution, Sync, Morphogenesis, and Ξ (Evidence).
OCSE — the execution cycle: Open, Clarify, Shape, Emerge. Bound to the morphisms (Open→Drift, Clarify→Governance, Shape→Sync+Evolution, Emerge→Morphogenesis+Ξ). In a surface it reads as View → Navigate → Act → Emit.
M-engines (M1–M6) — the formal invariant engines that validate computation: M1 Axiom (validity), M2 Proof, M3 Structure (conservation laws), M4 Mapping, M5 Constraint (bounds), M6 Equivalence (determinism). The proof layer.
S-engines (S1–S6) — the physics engines: Branching, Diffusion, Cycles, Sync, Networks, Geometry. They model dynamics. (Compliance/WQI/local-exchange "engines" are composites built on top of S1–S6, not S-engines themselves.)
Composition spine — amino acid → residue → codon → tool → toolkit → OS → Suite. How small operations compose up into things an operator uses.
Motif — a reusable interface primitive (form, roster, map, timeline, evidence, scheduler, …); the "tool" rung of the spine. reef-gen has 15.
Tissue — a single-file, sovereign HTML toolkit. The thing an operator opens. No framework, no network, no build step.
Composite — a combination that yields further capability (a domain scorer, a module stack). Composites bind to S-engines; they never define their own engines.
Core-5 — the free Tier-0 toolkits offered to all 100 NC counties: Corridor Gap, Field Intelligence, Compliance-to-Evidence, Local Exchange, Workforce & Skills.
Evidence bundle / record — a content-addressed, SHA-256-hashed record emitted by an action. Linked to its predecessor, it forms a verifiable chain.
Ξ (the evidence membrane) — the layer that emits and gates evidence. The conservation law Ξ_terminal ≥ Ξ_entry (evidence never decreases) is its core invariant.
Conservation law — the validity principle: a computation is legitimate when its norm is conserved through transformation (Noether's theorem in miniature — rotor symmetry yields a conserved norm). Drift signals corruption.
Lineage — the chain of human sources (citations) and prior states an artifact honors. Enforced: a dangling reference is a load error.
Merkle root — a single hash sealing an entire evidence chain; tampering with any record changes the root.
Vitrify / rehydrate — to fold a computation into a compact, deterministic seed (vitrify) and later replay it byte-identically (rehydrate). The durability mechanism, modeled on cryptobiosis.
.vscl — the vitrified-seed file format: a sealed, lineage-carrying, rehydratable computation. "Shipping computation, not data" as a file.
Rotor spring — a vitrified, reusable computation shipped as a .vscl — a pre-folded accelerant a toolkit can drop in.
Four-layer stack — L1 Substrate Kernel (sealed Cl(3,0) physics), L2 Morphic Kernel (bootstrapping, the registry), L3 Perennial Kernel (identity, continuity), L4 Catalyst Runtime (execution).
1728-point manifold — the fixed Penrose-Clifford scaffold (144 barycenters × 12), addressed by Morton (Z-order) indexing. "The geometry IS the routing table."
Morton (Z-order) addressing — building an address by interleaving coordinate bits, so spatial neighbors stay close in the linear index — routing without a routing table.
Hox scale (λ) — the conformal scale level mapping a computation to hardware: λ₀ seed → λ₁ Pico → λ₂ Raspberry Pi → λ₃ laptop/server.
Island — a sealed, deterministic, reversible interactive unit; state is a pure projection of an operation log. The runtime under every interactive surface.
Sidecar — a low-friction surface (a spreadsheet workbook, a connector, a paper form) that emits the same canonical record a tissue would. "One grammar, many doors."
Catalyst — the strategic posture: the substrate sits underneath existing work, lowering the activation energy for sovereign computing without replacing anyone's tools. Like a mitochondrion: it moves in, keeps its own laws, makes the host more capable.