The Mechanism · Gated-generation receipt

gen-explain-the-inverse-square-law-for-lighting-as-you-would-to-9116

stable pending witness
2026-05-29 03:47:51 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the inverse-square law for lighting as you would to a capable student, in 3-4 sentences.
96 chars

Generation

The inverse-square law states that light intensity decreases proportionally to the square of the distance from the source. This means if you double your distance from a light, you receive only one-quarter (1/2²) of the light; triple the distance gives you one-ninth (1/3²) the intensity. This happens because the same amount of light energy spreads out over an increasingly larger spherical area as it travels outward, making the light appear dimmer the farther away you are.
32 tokens in · 108 tokens out · 5437 ms · $0.0017

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
5444.5 ms
Base LLM
5437.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0017

Trail

03:47:51 received prompt_chars=96 verifiers=['scripture_anchors', 'theology_doctrine']
03:47:51 red_gate decision=pass reason=no disqualifying input patterns detected
03:47:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=108 latency_ms=5437.2 cost_usd=0.0017
03:47:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:47:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:47:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:47:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:47:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:47:56 signed hash_algo=sha256 hash=sha256:870c10a7d50ee33f084289b76ef1f01db389025b03cb434f010042ad11228ed8

Content hash

sha256:870c10a7d50ee33f084289b76ef1f01db389025b03cb434f010042ad11228ed8

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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