quantum evolution decoded — unitary & reversible, measurement non-unitary, classicality evolves
Theorem.quantum evolution decoded — unitary & reversible, measurement non-unitary, classicality evolves — quantum evolution decoded on the su(2) machinery (user, 2026-07-24: "quantum evolution"), two real cited faces: (1) UNITARY evolution U(θ) = e^{−iσθ} satisfies U†U = I (norm-preserving.
Proof.quantum evolution decoded on the su(2) machinery (user, 2026-07-24: "quantum evolution"), two real cited faces: (1) UNITARY evolution U(θ) = e^{−iσθ} satisfies U†U = I (norm-preserving, computed to 1e-9) and is EXACTLY REVERSIBLE, U(−θ) = U(θ)† — Schrödinger dynamics loses no information; (2) MEASUREMENT is the NON-UNITARY branch — the Born-rule collapse is a projection, idempotent P²=P but P†P≠I, many-to-one and irreversible, and the mismatch between reversible U and irreversible collapse IS the measurement problem. Classicality EVOLVES from the quantum: decoherence suppresses off-diagonal coherence (einselection of the pointer basis) and the environment REDUNDANTLY records the pointer across 16 fragments, so any 1/16 of it reveals the classical state (Zurek quantum Darwinism, redundancy plateau) — objective reality selected, not assumed. FLAGGED: "quantum evolution proves consciousness creates reality", "biological evolution is quantum", observer-created-universe mysticism — this is the emergence of CLASSICALITY. SCOPE: a two-level MODEL of the general U(t)=e^{−iHt/ℏ}; the measurement problem stays interpretationally open. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#quantumEvolutionDecoded
1 · Classification
finite-complete — 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
"quantum evolution decoded — unitary & reversible, measurement non-unitary, classicality evolves" 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 quantumEvolutionDecoded.
- 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 (quantumEvolutionDecoded @ 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 quantumEvolutionDecoded (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.