The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-diffraction-at-small-apertures-stat-afda

stable pending witness
2026-05-29 04:36:31 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain diffraction at small apertures. State any key formula.
80 chars

Generation

# Diffraction at Small Apertures When light passes through a small aperture (opening comparable to its wavelength), it spreads out rather than traveling in straight lines, creating a characteristic pattern of bright and dark regions. This phenomenon occurs because different portions of the wavefront interfere with each other after passing through the opening. For a single slit of width *a*, the angular positions of dark fringes follow: $$a \sin\theta = m\lambda$$ where *m* = ±1, ±2, ±3... (order number), *λ* is the wavelength, and *θ* is the angle from the central axis. The central bright fringe is twice as wide as the other bright fringes, and the pattern becomes more pronounced as the aperture size approaches the wavelength of light.
28 tokens in · 183 tokens out · 5872 ms · $0.0028

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
5879.8 ms
Base LLM
5872.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

04:36:31 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
04:36:31 red_gate decision=pass reason=no disqualifying input patterns detected
04:36:37 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=183 latency_ms=5872.3 cost_usd=0.0028
04:36:37 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:36:37 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:36:37 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:36:37 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:36:37 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:36:37 signed hash_algo=sha256 hash=sha256:ca74f05d7a3f119c8dc14484a383af57a012ed3b0b7bc24b95403264ed6db2b1

Content hash

sha256:ca74f05d7a3f119c8dc14484a383af57a012ed3b0b7bc24b95403264ed6db2b1

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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