The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-sound-intensity-and-the-inverse-e85b

stable pending witness
2026-05-29 06:43:28 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of sound intensity and the inverse-square law? Answer concisely in 2-3 sentences.
106 chars

Generation

Sound intensity decreases with the square of the distance from the source, meaning that doubling the distance reduces intensity to one-quarter. This inverse-square law is significant because it explains why sounds become quieter as you move away from their source and is fundamental to acoustics, audio engineering, and noise control. It applies to point sources radiating sound uniformly in all directions through free space.
33 tokens in · 83 tokens out · 3002 ms · $0.0013

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
3010.1 ms
Base LLM
3002.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0013

Trail

06:43:28 received prompt_chars=106 verifiers=['scripture_anchors', 'theology_doctrine']
06:43:28 red_gate decision=pass reason=no disqualifying input patterns detected
06:43:31 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=33 tokens_out=83 latency_ms=3002.3 cost_usd=0.0013
06:43:31 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:43:31 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:43:31 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:43:31 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:43:31 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:43:31 signed hash_algo=sha256 hash=sha256:ffd6f612e095954b93c4aba8a61331dc82148f853099c9ca280ef317eea5f462

Content hash

sha256:ffd6f612e095954b93c4aba8a61331dc82148f853099c9ca280ef317eea5f462

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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