The Mechanism · Gated-generation receipt

gen-briefly-explain-snell-s-law-of-refraction-and-one-common-mis-3bd4

stable pending witness
2026-05-29 07:52:18 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain Snell's law of refraction and one common misconception about it.
80 chars

Generation

# Snell's Law of Refraction **The Law:** Snell's law describes how light bends when passing from one transparent medium to another. It states: n₁ sin(θ₁) = n₂ sin(θ₂) where n₁ and n₂ are the refractive indices of the two media, and θ₁ and θ₂ are the angles of incidence and refraction (measured from the normal to the surface). ## Common Misconception **"Light always bends toward the normal when entering a new medium"** This is incorrect. Light bends *toward* the normal only when entering a **denser** medium (higher refractive index). When light passes from a denser to a less dense medium (e.g., water to air), it bends *away* from the normal. The direction of bending depends on the relative refractive indices of the two materials, not simply on crossing a boundary.
26 tokens in · 224 tokens out · 4572 ms · $0.0034

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
4581.5 ms
Base LLM
4572.3 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0034

Trail

07:52:18 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
07:52:18 red_gate decision=pass reason=no disqualifying input patterns detected
07:52:23 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=224 latency_ms=4572.3 cost_usd=0.0034
07:52:23 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:52:23 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:52:23 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:52:23 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:52:23 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:52:23 signed hash_algo=sha256 hash=sha256:70c6af7642cf8eeff93125fda7430b7463189416108361a65c96e3a90c6bdb35

Content hash

sha256:70c6af7642cf8eeff93125fda7430b7463189416108361a65c96e3a90c6bdb35

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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