The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-quantum-tunneling-state-any-key-for-9365

stable pending witness
2026-05-29 07:36:05 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain quantum tunneling. State any key formula.
67 chars

Generation

Quantum tunneling is a phenomenon where particles can pass through energy barriers that they classically shouldn't have enough energy to overcome. This occurs because, in quantum mechanics, particles are described by wave functions that can extend into and through classically forbidden regions. The probability of tunneling depends exponentially on the barrier width and height, described by the transmission coefficient: **T ≈ e^(-2κL)** where **κ = √(2m(V-E)/ℏ²)** Here, L is the barrier width, m is particle mass, V is barrier height, E is particle energy, and ℏ is the reduced Planck constant.
25 tokens in · 147 tokens out · 4426 ms · $0.0023

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
4433.3 ms
Base LLM
4425.8 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0023

Trail

07:36:05 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
07:36:05 red_gate decision=pass reason=no disqualifying input patterns detected
07:36:09 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=147 latency_ms=4425.8 cost_usd=0.0023
07:36:09 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:36:09 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:36:09 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:36:09 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:36:09 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:36:09 signed hash_algo=sha256 hash=sha256:604eb8fed4312c81be57b19ef234e5b3c0e84d3b9e13fe3f65a6375186139803

Content hash

sha256:604eb8fed4312c81be57b19ef234e5b3c0e84d3b9e13fe3f65a6375186139803

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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