The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-sound-reflection-and-echo-state-any-e486

stable pending witness
2026-05-29 03:41:58 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain sound reflection and echo. State any key formula.
75 chars

Generation

# Sound Reflection and Echo Sound reflection occurs when sound waves bounce off a surface, following the law of reflection where the angle of incidence equals the angle of reflection. An **echo** is a specific case of sound reflection where the reflected sound is heard distinctly separate from the original sound, typically requiring the reflecting surface to be at least 17 meters away (in air at room temperature). **Key formula:** **d = v × t / 2** where d is the distance to the reflecting surface, v is the speed of sound (~343 m/s in air), and t is the time delay between original sound and echo. The factor of 2 accounts for the sound traveling to the surface and back.
26 tokens in · 156 tokens out · 5196 ms · $0.0024

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
5209.0 ms
Base LLM
5196.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0024

Trail

03:41:58 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
03:41:58 red_gate decision=pass reason=no disqualifying input patterns detected
03:42:03 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=156 latency_ms=5196.2 cost_usd=0.0024
03:42:03 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:42:03 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:42:03 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:42:03 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:42:03 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:42:03 signed hash_algo=sha256 hash=sha256:637603c279a60df74d29c4798b1a937b87726a3421f8773abb8a26c3a9384df3

Content hash

sha256:637603c279a60df74d29c4798b1a937b87726a3421f8773abb8a26c3a9384df3

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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