The Mechanism · Gated-generation receipt

gen-explain-the-schrodinger-equation-as-you-would-to-a-capable-s-9e8c

stable pending witness
2026-05-29 03:21:17 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the Schrodinger equation as you would to a capable student, in 3-4 sentences.
85 chars

Generation

The Schrödinger equation describes how quantum systems evolve over time by treating particles as wave functions—mathematical objects that encode probabilities rather than definite positions. Just as classical waves obey wave equations, quantum particles obey Schrödinger's equation, where the wave function's evolution is determined by the particle's energy (kinetic plus potential). When you solve this equation for a given system, you get the allowed energy states and can calculate the probability of finding a particle at any location. It's fundamentally different from Newton's laws because it predicts probabilities of outcomes rather than definite trajectories.
31 tokens in · 130 tokens out · 4782 ms · $0.002

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
4790.0 ms
Base LLM
4782.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

03:21:17 received prompt_chars=85 verifiers=['scripture_anchors', 'theology_doctrine']
03:21:17 red_gate decision=pass reason=no disqualifying input patterns detected
03:21:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=130 latency_ms=4782.3 cost_usd=0.002
03:21:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:21:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:21:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:21:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:21:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:21:21 signed hash_algo=sha256 hash=sha256:37dcd5db03e3cf7c993d70b7d15b4238baaba03733350e1209a2425216666747

Content hash

sha256:37dcd5db03e3cf7c993d70b7d15b4238baaba03733350e1209a2425216666747

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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