decode the cosmology-to-biology ladder — gaps filled, abiogenesis named open
Theorem.decode the cosmology-to-biology ladder — gaps filled, abiogenesis named open.
Proof.continue the decode in cosmology, filling all gaps down to biology (user, 2026-07-25: "continue in cosmology filling all gaps to biology"). The emergence ladder connects the cosmos to life through six content-addressed levels — cosmology → nucleosynthesis → chemistry → geochemistry → prebiotic chemistry → biology. The 4 documented transitions are decoded: Big-Bang and stellar nucleosynthesis forge the elements (H/He/Li then C/N/O/Fe/heavy), cooling bonds them into molecules, accretion and hydrothermal chemistry concentrate them, and prebiotic synthesis (Miller–Urey, meteorites) makes the monomers. The ONE genuinely open gap is ABIOGENESIS — the origin of self-replicating life — which is named, NOT faked: amino acids form readily but self-replicating life has not been reproduced. All levels fold to one catalog, reusing the decode-catalog / object-combination machinery. SCOPE: "filling all gaps" = decoding the documented transitions + honestly naming the unsolved one, NOT claiming the origin of life is solved. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/water/cosmos/index.ts#decodeCosmologyToBiologyLadderFillingGaps
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
"decode the cosmology-to-biology ladder — gaps filled, abiogenesis named open" 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 decodeCosmologyToBiologyLadderFillingGaps.
- 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 (decodeCosmologyToBiologyLadderFillingGaps @ src/water/cosmos) 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 decodeCosmologyToBiologyLadderFillingGaps (src/water/cosmos/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.