Study 23 QMA Spin Glass

Study 23 — A spin glass does not need a freezer

Status: LIVE ON GLAMA — fixture locked 2026-08-26
Program: Shear Studies Index · Math Court on Glama

Call it today: route_spin_glass_manifold at https://affine.earth/language-invariant/mcp
Or walk the whole court: clients/math-court-mcp

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D-Wave exists to sell this problem. Three-dimensional spin glasses and the transverse Ising model are NP-hard / QMA-hard. Hardware annealers “solve” them with analog microwave pulses and a temperature schedule. Quantum Monte Carlo hits the sign problem. Thermal noise is not a footnote — it is the method. There is never a sealed global minimum, only a sample that looked deep enough this run.

Affine.Earth deletes time and temperature from the law. A spin is not a magnetic magnitude. It is a discrete ±1 direction on the flat torus. Frustrations are lattice seams. Energy is an exact integer.

The public example locked it. The Glama client posted the antiferromagnetic triangle edges=0,1,1;1,2,1;2,0,1 with spins=1,-1,1. The cells returned energy −1. All-up 1,1,1 is energy +3 — the excited class, a MISS. Same lock through math_court domain qma_spinglass.

The marketing fact: you do not rent an annealer to grade a presented spin string. You post decimal strings to affine.earth and the court prints the integer. The analog pulse has nothing to say to that printout.

Frozen law

Symbol	Rule
E = Σ J_ij s_i s_j	s ∈ {+1,−1}
WIN	fixture energy −1
MISS	any other presented energy
REFUSED	IEEE token on the wire

All-up 1,1,1 is energy +3 — MISS, the excited class.