The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-schrodinger-equation-state-any-d461

stable pending witness
2026-05-29 02:36:13 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the Schrodinger equation. State any key formula.
74 chars

Generation

The Schrödinger equation is the fundamental equation of quantum mechanics that describes how the quantum state of a physical system changes over time. It treats particles as wave functions rather than point objects, allowing us to calculate the probability of finding a particle at various locations. The time-dependent Schrödinger equation is: **iℏ ∂ψ/∂t = Ĥψ** where ψ is the wave function, ℏ is the reduced Planck constant, t is time, and Ĥ is the Hamiltonian operator (representing total energy). For many applications, the time-independent version **Ĥψ = Eψ** is used, where E is the energy eigenvalue.
28 tokens in · 170 tokens out · 3542 ms · $0.0026

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3549.4 ms
Base LLM
3542.3 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0026

Trail

02:36:13 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
02:36:13 red_gate decision=pass reason=no disqualifying input patterns detected
02:36:16 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=170 latency_ms=3542.3 cost_usd=0.0026
02:36:16 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:36:16 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:36:16 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:36:16 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:36:16 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:36:16 signed hash_algo=sha256 hash=sha256:ba7659506e017202ce1ab9f20194622bd8e28e3d8d50bad4b91dc4b1d32a8480

Content hash

sha256:ba7659506e017202ce1ab9f20194622bd8e28e3d8d50bad4b91dc4b1d32a8480

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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