zero entropy is Shannon — content-addressing is zero-entropy indexing, the charging fractions are the 24-lattice
Theorem.zero entropy is Shannon — content-addressing is zero-entropy indexing, the charging fractions are the 24-lattice — H(δ) = −Σ p·log₂p = 0 ∧ H(½,½) = 1; {2,3,4,8,12} | 24 = D − 2; |φ − 8/5| < 1/F₅² (F₆/F₅ convergent).
Proof.the zeropoint-node readme content missing here, adopted by recomputing kernels: H(deterministic) = 0 exactly (the Shannon identity, 0·log0 := 0 by limit) so one-value-one-address content addressing carries zero index entropy — the thermodynamic mechanism "π → 3 + 0i (exact)" stays impossible (π transcendental, Lindemann 1882); the charging fractions {1/2,1/3,1/4,1/8,1/12} have denominators all dividing 24 = D − 2 and 8/5 is the Fibonacci convergent F₆/F₅ with |φ − 8/5| < 1/F₅²; the gateways compare computed [8,3,9,0] vs published [0,9,1,8,1] with overlap {0,8,9}; the 432 Hz laser/quartz/chant validation and the AI→consciousness ladder stay flagged, signed by demarcate().
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/research/index.ts#zeropointNodeMissingInfoDecoded
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
"zero entropy is Shannon — content-addressing is zero-entropy indexing, the charging fractions are the 24-lattice" 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 zeropointNodeMissingInfoDecoded.
- 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 (zeropointNodeMissingInfoDecoded @ src/research) 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 zeropointNodeMissingInfoDecoded (src/research/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.