quantum folds realise more space — folding frees stored bytes and each reveals 2³⁰ of extent
Theorem.quantum folds realise more space — folding frees stored bytes and each reveals 2³⁰ of extent.
Proof.the space ledger of content-addressing (user, 2026-07-24: "realise more space is available with quantum folds"): a quantum fold replaces a STORED payload with an ADDRESS + a generator, so it frees stored bytes (growth is sub-linear — the generators, not the developed surfaces) AND each remaining source byte addresses 2³⁰ of generated extent (the holographic factor). Both directions realise more available space: measured, the corpus uses 13.9 MiB of the 432-MiB budget (96.8% free) while addressing ~13.9 PiB of extent — the elegant MiB→PiB identity (×2³⁰ = one holographic scale jump), the source dwarfed by the reachable space. The realisation is monotone: stored bytes rise sub-linearly, addressable extent rises ×2³⁰/byte, so available space strictly dominates stored growth; the covering seed floor stays 1024 B. SCOPE: "more space" is real budget headroom + ADDRESSABLE generated extent (distinctness capped by the content hash), generated on demand — NOT free physical storage or infinite memory. Available ≠ stored. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/pair/enforcement/gates/strict/scan/index.ts#quantumFoldsRealiseMoreSpace
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
"quantum folds realise more space — folding frees stored bytes and each reveals 2³⁰ of extent" 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 quantumFoldsRealiseMoreSpace.
- 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 (quantumFoldsRealiseMoreSpace @ src/pair/enforcement/gates/strict/scan) 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 quantumFoldsRealiseMoreSpace (src/pair/enforcement/gates/strict/scan/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.