Gemstone optics source archive
The tradeoff is a named theorem, fire_brilliance_impossible: for any material with refractive index above 1 and ε < (π - 4θ_c)/6, the two optima never coincide. This archive holds the optics behind it. The public graph inventories 1,025 structural declarations across 39 files; those parser-derived counts are structural inventory, not a kernel-verification receipt. Two named source theorems are pinned to an exact commit, file, line, statement, and content hash. For Jill Campbell.
A receipt here is a source binding, not a kernel run: pinned commit 7ccede7, file, line, statement, and the SHA-256 of the file bytes, re-checked by the manifest test suite against the pinned checkout. The public explorer lists the same declarations as unverified until a live check runs. These two records are the strongest evidence this site publishes; each certifies only its stated theorem and hypotheses, never a whole page, a numerical runtime, or an empirical gemstone claim.
Archive 01 · Moissanite
A crystal-optics model of moissanite and diamond: total internal reflection, dispersion curves, exploratory cut geometries. The theorem below is the archive's center of gravity. Because the fire-optimal and brilliance-optimal pavilion angles are never the same angle, every cut is a choice, and the model shows what each choice costs. Numerical and physical assumptions must be checked independently before practical use.
Open storyArchive 02 · Opal
A simplified structural-color model: spheres in face-centered cubic packing, Bragg diffraction off the lattice. The packing fills π/(3√2) ≈ 0.7405 of space; the unfilled fraction is where the color lives. The archive does not claim that every opal forms an ordered lattice, follows one recipe, or exhibits color for one universal reason.
Open storyArchive 03 · The Perfect Stone
An exploratory multi-objective design model: six subjective axes, a Pareto frontier instead of a winner, NV-center fluorescence, CVD-diamond design ideas. The separation theorem below is why there is no best-stone ranking here: fix the geometry and the geometric beauty is determined, fix the material and the material beauty is determined, and the two factor apart. Not an empirical optimum or a manufacturing recommendation.
Open storyArchive 04 · Bookstore
A reading companion for two popular-science books, one on quantum physics and one on machine learning, with seven archival source statements and the art they generated. The excerpts come from a separate unpinned archive. They do not validate every statement in either book, and no Jill manifest receipt is attached to them.
Open storyEverything on this page is free to read: three gemstone archives, the book report, and the public proof explorer, no account required. Conversation is metered when a runtime connects. Patronage, when enrollment opens, accrues toward a $150 crystallization. The access page lists exactly what is open today.