each page is a superposition of (referrer, path) — the navigation pyramid, computed and VitePress-fused
Theorem.each page is a superposition of (referrer, path) — the navigation pyramid, computed and VitePress-fused.
Proof.each page is a superposition of its referrer and path (user, 2026-07-24: "each page is a superposition itself by the referrer and the page path. the rest is computable to complete the navigation pyramid and fuse to vitepress"): pageNavContext(referrer, path) is pure — the nav state content-addresses to the pair, so the same (referrer,path) collapses to ONE receipt and a different referrer to a different one. From the two coordinates the whole navigation completes: the current discovery, its RELATED discoveries (outgoing edges via relatedDiscoveries — each page leads to others), the breadcrumb up the pyramid (root → current), and the "came from" incoming edge. The path fixes the outgoing set; the referrer changes only the incoming edge. Fused to VitePress through the theme (related section + breadcrumb) via its official API (useData/themeConfig) — deterministic, zero-token, no DOM scrape, no second nav topology. SCOPE: "superposition" = the content-addressed (referrer,path) state that collapses at navigation time (referrer is a runtime value), NOT a physical quantum state. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/4/6/index.ts#pageIsSuperpositionOfReferrerAndPath
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
"each page is a superposition of (referrer, path) — the navigation pyramid, computed and VitePress-fused" 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 pageIsSuperpositionOfReferrerAndPath.
- 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 (pageIsSuperpositionOfReferrerAndPath @ src/4/6) 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 pageIsSuperpositionOfReferrerAndPath (src/4/6/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.