the shadcn design system opens theorem dimensions under the quantum lens — a 3·2⁶ variant tensor with ground states
Theorem.the shadcn design system opens theorem dimensions under the quantum lens — a 3·2⁶ variant tensor with ground states.
Proof.Reviewing shadcn with the quantum lens opens dimensions of theorems — 5/5: the cva variant table is a tensor product of dimension 192 = 3·2⁶ (exactly three hexagram spaces); the compound SFCs form a prefix forest of depth ≤ 2 partitioning the 23-SFC inventory (18 roots + 5 leaves); the 64-component graph is the 6-bit hexagram measurement basis; the 13 tokens are the mode-invariant observable basis under the light/dark ℤ/2 action; and mounting is measurement — the cva superposition collapses to one state, with default the ground state every varianted axis carries. Structural quantum only: exact combinatorics over the sealed tables, refutable by editing them; the 3·2⁶ factorisation is a computed property of the current table, not a design-system law.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/mountain/shadcn/index.ts#shadcnQuantumLens
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"the shadcn design system opens theorem dimensions under the quantum lens — a 3·2⁶ variant tensor with ground states" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation shadcnQuantumLens.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (shadcnQuantumLens @ src/mountain/shadcn) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes shadcnQuantumLens (src/mountain/shadcn/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.