velocity additivity non-universal (physics)
Theorem.velocity additivity non-universal (physics) — u ⊕ v = (u + v)/(1 + uv/c²) ≤ c — the Galilean sum overshoots.
Proof.on all 49 c-fraction pairs the Galilean sum overshoots and the relativistic composition never reaches c; (3/4)c ⊕ (3/4)c = 24/25 c exactly, not 3/2 c — additivity is the low-speed limit of special relativity (Einstein 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#discoveredTheoremsWaveNineteen
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
"velocity additivity non-universal (physics)" 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 discoveredTheoremsWaveNineteen.
- 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 (discoveredTheoremsWaveNineteen @ 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 discoveredTheoremsWaveNineteen (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.