Superluminal carries nothing
Theorem.Superluminal carries nothing — signal front ≤ c — phase velocity may exceed c, information and energy do not.
Proof.the two claims tested together and both refuted: a simulated plasma wave packet has its carrier phase at 1.118c while the envelope peak — the only carrier of information — measures 0.892c, matching v_g; and for a maximally entangled pair Alice's marginal is I/2 with drift 1.1e-16 across every basis Bob chooses, so entanglement signals nothing at any speed. Correlations still beat the classical bound (Tsirelson 2√2 > 2): quantum gives correlation WITHOUT signalling, both by theorem.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/2/8/index.ts#noSignallingComputes
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
"Superluminal carries nothing" 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 noSignallingComputes.
- 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 (noSignallingComputes @ src/2/8) 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 noSignallingComputes (src/2/8/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.