The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-the-inverse-square-law-for-light-6c1e

stable pending witness
2026-05-29 05:26:17 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of the inverse-square law for lighting? Answer concisely in 2-3 sentences.
99 chars

Generation

The inverse-square law states that light intensity decreases proportionally to the square of the distance from the source—doubling the distance reduces intensity to one-quarter. This principle is crucial for photographers, cinematographers, and lighting designers to predict and control how brightness falls off with distance. It explains why subjects close to a light source are dramatically brighter than those farther away, fundamentally affecting exposure and lighting ratios.
32 tokens in · 89 tokens out · 3109 ms · $0.0014

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
3115.0 ms
Base LLM
3109.0 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0014

Trail

05:26:17 received prompt_chars=99 verifiers=['scripture_anchors', 'theology_doctrine']
05:26:17 red_gate decision=pass reason=no disqualifying input patterns detected
05:26:20 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=89 latency_ms=3109.0 cost_usd=0.0014
05:26:20 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:26:20 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:26:20 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:26:20 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:26:20 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:26:20 signed hash_algo=sha256 hash=sha256:a0ace511dcb3f0666ad3f4746717b873f6c850273085603b3e7820c606fcb55e

Content hash

sha256:a0ace511dcb3f0666ad3f4746717b873f6c850273085603b3e7820c606fcb55e

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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