affine.earth

ONE CALL, ONE STATE, EVERY LANGUAGE A PROJECTION: pass target_langs (or ["*"]) to seal the texts' state once and receive one projection per language, each a stateless map of that same state; target_lang alone returns one.

Exact 4D separation over declared trajectories in integer-scaled geodetic coordinates: decide whether any two are ever SIMULTANEOUSLY inside the stated separation minima, and return either a separation certificate or the violating pair with the exact interval and magnitude of the incursion.

QC-022 fused bond - the pipeline in ONE call: open key in, bond, verified pair, signature requirements.

The Code Court's first move: are two implementations equivalent by the exact value multiset of their LLVM IR constants?

Sealed bonds from the Affine.

Census of what the corpus has captured over a bounded window of sealed bonds: per lane (LLM_WEIGHTS, LLVM_IR, LLVM_IR_I64, AUDIO_SPEECH) the bond count and exact-orbit-closure count, plus distinct spatial sectors.

Fleet-wide mining coverage from the KV cursor bucket: per target and per cell, how many shard cursors stand, a bounded decoded sample (bonds acked, shards exhausted), and the bond stream's own standing message count.

Grade a rendered frame and return integer corrections.

QMA 2-local Hamiltonian, sealed as exact rational Jordan exclusions on the UUM-8D torus: given ZZ terms and a presented computational configuration, return the exact energy energy_num/energy_den and WIN.

Ingest an ARTIFACT INGESTION BRIEF plus the artifact an agent generated for it; evaluate it against the laws the brief declares; seal and return the artifact ONLY on the top rung.

#P exact integer permanent, n≤3.

Certified membrane: Rational S4/C4 lanes -> SCF boundary -> annihilate raw context -> NATS geometry-only turn -> Aristotelian projection.

Generic court ingest.

Every feed a client can drive a game from - corpus lanes by mined_from, the live global feeds, and the transport each is reachable on (REST, RSS, MCP, NATS subject).

Run a language-game context and return its state plus the cell's own self-evaluation of the rendered frame - integer score 0-1000 over occupancy, spread, contrast and edge quality, with the C4 span correction applied.

Trigger a Mac mesh rebuild from the IDE.

Exact integer algebra on UUM-8D lattices - eight decimal lanes and a homology z, written x0,x1,x2,x3,x4,x5,x6,x7|z.

Affine.

Stateless membrane identity (mode, genesis epoch, subjects) plus cell listen facts.

Live NOAA weather for the aviation radar lane.

Affine key projection on secp256k1.

QC-001b Shor TWIN projection.

QMA spin-glass / frustrated Ising: given integer couplings on edges and a presented +/-1 spin per site, return the exact Ising energy energy_num/energy_den and WIN.

Exact integer inverse kinematics over a declared piece chain: compose local frames from the sovereign anchor and report each piece's pose in whole milli-units.

Start or advance a Universal Manifold Controller Long Play session for one domain (cinema, aviation, gaming or coding): seed the session, decompose the tau height into integer turns, measure the Rational torsion of each turn, shear-correct, converge, and (with checkpoint=true) seal the tip to the UMC_LONG_PLAY KV bucket so umc_resume can continue it on any cell.

Resume a Universal Manifold Controller Long Play from its latest sealed tip (local cache first, then the NATS KV bucket UMC_LONG_PLAY) for the given domain, session_id and node_id; direct=true advances one turn after resuming.

Read-only: the Universal Manifold Controller tip, the KV buckets it seals to (UMC_LONG_PLAY, C4_STATES, JORDAN_BONDS), the four Long Play domains, the NATS subjects it publishes on (gaiaftcl.

QC-009 Amplitude amplification: the Grover oracle check (oracle is a 0/1 string of length 2.

QC-010 Amplitude estimation.

QC-018 Bell measurement: certify that the presented Bell class bits equal the presented two-qubit pair.

QC-007 Bernstein-Vazirani.

QC-006 Deutsch-Jozsa.

QC-002 Grover presented-oracle verifier.

QC-005 HHL.

Decide the UUM-8D Jordan bond J_Z: does (A*K + A_p1*K) - (K*B + K*B_p2) equal the zero lattice 0^8?

QMA N-representability on a 2×2 rational 2-RDM.

Presented period: a^r == 1 (mod N), gcd(a,N)=1.

QC-011 Phase kickback: certify that the presented phase equals k / 2^m exactly, as a rational.

QC-021 Presented two-way affine pair.

QC-014 QAOA: certify the energy of a presented spin string on a presented Ising instance - the PROBLEM QAOA optimises, not a pulse schedule and not a search.

QC-003 QFT phase table.

QC-004 QPE.

QC-015 Quantum counting: certify that count equals the number of 1s in the presented oracle string.

QC-012 Quantum walk on the two-vertex cycle C2: from start (0 or 1), an even number of steps returns to start and an odd number lands on the other vertex; certify that the presented end matches.

QC-001 Shor witness certifier.

QC-008 Simon collision: certify a presented collision for a hidden mask.

QC-017 Superdense coding.

QC-016 Teleport reconstruction.

QC-019 Topological word: certify that the presented Eisenstein pair (q, r) is the sealed pair for a cited word.

QC-013 VQE problem, not the variational search.

Exact containment of a declared track against convective cell boundaries, including NON-CONVEX footprints: decide whether the track stays outside every declared cell within that cell's altitude layer, and on a breach name the breaching segment, the cell, how the breach happens and the exact parameter along the segment where it does.