Affine Math Court Glama

Affine.Earth Math Court — live on Glama

The sky writes geometry. Quantum complexity does too.
Open MCP: https://affine.earth/language-invariant/mcp · Registry: earth.affine/math-court
Public example: clients/math-court-mcp · Mac harness: apps/AffineNPHard

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IonQ, D-Wave, and every VQE notebook sell the same story: evolve a continuous wavefunction, sample a probability, call the average the answer. Affine.Earth discarded the wavefunction. The Math Court maps those problems as rigid intersections on an 8-dimensional flat torus and returns decimal strings — exact rationals, exact integers — that any agent can replay.

You do not need a lab seat. You need a JSON-RPC post.

What the example app proved

The public client in clients/math-court-mcp computes no verdict. It is a visitor: it lists the tools, walks every court domain, names the four QMA solvers, and asks the cells to lock a Jordan bond. Measured on the live 9-cell apex:

Proof	What locked
The court is public	tools/list advertised 21 tools. math_court and lattice_op were present.
The court is the whole court	One walk covered geometry, chance, algebra, physics, QCD, health, finance, compilers, fluids, eclipse, EHT, seismic, disease, chemistry, materials, PDB, Rife, dynamo, and the four QMA domains. 29 LIVE · 0 LEARN.
Miner verbs stay off the public surface	mine, isolate, sha256d, submitblock were absent. The win is the verified bond, not a wallet.
Floats cannot enter	The wire is decimal strings. A JSON Float64 is refused. Continuous-quantum agents that speak IEEE never reach a seal.
QMA fixtures return exact geometry	2-local energy −1/1. Spin-glass energy −1. N-representability WIN. 3×3 permanent 6.
The bond is the win	verify_jordan_bond returned AFFINE_JZ_SHEAR_ZERO on the uniform lock.

The Mac app (AffineNPHard court example) is the same walk with a desktop surface. It measured 30 LIVE · 1 LEARN. The LEARN row is Go First Dice, which wants sixty-face arrays — not a court failure, a different payload shape.

These are wired fixtures. A presented configuration is verified. An unknown ground state is not searched. That is the honest claim, and it is already stronger than a VQE notebook: the answer is a string you can print, not a distribution you can average.

Four QMA studies, one public harness

Study	Legacy pitch	Affine lock	Call this tool
22 — 2-local Hamiltonian	VQE / continuous (e^{-iHt})	energy −1/1	execute_2local_hamiltonian
23 — Spin-glass / TIM	D-Wave analog / QMC sign problem	energy −1	route_spin_glass_manifold
24 — N-representability	Float SDP / wave amplitudes	WIN	verify_n_representability
25 — Matrix permanent	Float boson-sampling “supremacy”	permanent 6	execute_exact_permanent

Same fixtures accept math_court with domains qma_2local, qma_spinglass, qma_nrep, qma_permanent.

Run it yourself

swift run --scratch-path /tmp/affine-math-court-mcp --package-path clients/math-court-mcp/swift-example affine-math-court

swift run --scratch-path /tmp/AffineNPHard-harness --package-path apps/AffineNPHard AffineNPHard court example

Payloads are decimal strings. If you send 0.5, the court refuses you. If you send 1/2, it grades you.

Why this is the marketing fact

Legacy quantum computing needs a cryostat, a microwave schedule, and a press release about “advantage.” Affine.Earth put the same problem class on a public MCP that any Glama agent can call from a laptop. The cells do not anneal. They do not descend a gradient. They project the presented string onto the torus and either lock or refuse.

That is the demonstration: the hard problems they advertise are already a court, and the court is already open.