The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-dispersion-in-a-prism-answer-con-aa1d

stable pending witness
2026-05-29 04:59:18 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of dispersion in a prism? Answer concisely in 2-3 sentences.
85 chars

Generation

Dispersion in a prism separates white light into its component colors (spectrum) because different wavelengths of light refract at slightly different angles when passing through the glass. This occurs because the refractive index of the prism material varies with wavelength, causing shorter wavelengths (violet/blue) to bend more than longer wavelengths (red). This phenomenon is fundamental to spectroscopy and demonstrates that white light is composed of multiple colors.
31 tokens in · 98 tokens out · 3081 ms · $0.0016

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
3091.6 ms
Base LLM
3081.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0016

Trail

04:59:18 received prompt_chars=85 verifiers=['scripture_anchors', 'theology_doctrine']
04:59:18 red_gate decision=pass reason=no disqualifying input patterns detected
04:59:21 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=98 latency_ms=3081.3 cost_usd=0.0016
04:59:21 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:59:21 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:59:21 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:59:21 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:59:21 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:59:21 signed hash_algo=sha256 hash=sha256:f71e1ce28d642cec3d4b9fec9869e599a0528797da185f4c4bef2a5d098c6081

Content hash

sha256:f71e1ce28d642cec3d4b9fec9869e599a0528797da185f4c4bef2a5d098c6081

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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