The Mechanism · Gated-generation receipt

gen-briefly-explain-diffraction-through-a-single-slit-and-one-co-574f

stable pending witness
2026-05-29 07:38:19 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain diffraction through a single slit and one common misconception about it.
88 chars

Generation

## Single Slit Diffraction When light passes through a narrow slit comparable to its wavelength, it spreads out rather than continuing in a straight line. This creates a pattern on a screen consisting of: - A bright **central maximum** (widest and brightest) - Progressively dimmer bright fringes on either side - Dark fringes (minima) separating them This occurs because different parts of the wavefront passing through the slit interfere with each other. Dark bands form where the path difference causes destructive interference. ## Common Misconception **"Light diffracts because it hits the edges of the slit"** Many people think diffraction is caused by light bouncing off or interacting with the slit edges. In reality, diffraction is a fundamental property of waves. Every point across the *entire opening* acts as a source of secondary wavelets (Huygens' principle), and these wavelets interfere with each other. The pattern depends on the slit width and wavelength, not on edge interactions. Even if the slit edges were perfectly smooth or rough, the diffraction pattern would remain essentially the same.
25 tokens in · 254 tokens out · 6509 ms · $0.0039

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
6514.5 ms
Base LLM
6508.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0039

Trail

07:38:19 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
07:38:19 red_gate decision=pass reason=no disqualifying input patterns detected
07:38:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=254 latency_ms=6508.8 cost_usd=0.0039
07:38:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:38:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:38:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:38:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:38:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:38:25 signed hash_algo=sha256 hash=sha256:87983d4d4636be2164497954ecdd1f597daffe989749c03176501b24596c5e8e

Content hash

sha256:87983d4d4636be2164497954ecdd1f597daffe989749c03176501b24596c5e8e

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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