entanglement cannot signal (quantum)
Theorem.entanglement cannot signal (quantum) — P(Alice = +) = 1/2 for every angle pair — the marginal is independent of Bob’s setting.
Proof.for the Bell state, across all 144 angle pairs Alice’s marginal P(+) stays exactly 1/2 regardless of Bob’s setting — the correlations are real (Tsirelson) but carry no message; relativistic causality stands, no-communication theorem cited.
Checked by exact arithmetic over the stated finite range — a verified witness, evidence toward the claim, not a ∀-proof.
src/9/1/index.ts#discoveredTheoremsWaveTwentyOne
1 · Classification
bounded-witness — computed witness within a cited frame (the unbounded form leans on the cited literature)
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"entanglement cannot signal (quantum)" 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 discoveredTheoremsWaveTwentyOne.
- 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 (discoveredTheoremsWaveTwentyOne @ src/9/1) 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 discoveredTheoremsWaveTwentyOne (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.