The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-double-slit-interference-patter-4805

stable pending witness
2026-05-29 04:06:32 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the double-slit interference pattern. State any key formula.
86 chars

Generation

# Double-Slit Interference Pattern When coherent light passes through two narrow slits, the waves from each slit overlap and interfere, creating alternating bright and dark bands on a screen. Bright fringes occur where the path difference between waves from the two slits equals a whole number of wavelengths (constructive interference), while dark fringes occur where the path difference is a half-integer number of wavelengths (destructive interference). **Key formula for bright fringes:** $$d \sin\theta = m\lambda$$ where *d* is the slit separation, *θ* is the angle to the fringe, *m* is an integer (0, ±1, ±2...), and *λ* is the wavelength.
29 tokens in · 174 tokens out · 10201 ms · $0.0027

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
10213.6 ms
Base LLM
10201.3 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0027

Trail

04:06:32 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
04:06:32 red_gate decision=pass reason=no disqualifying input patterns detected
04:06:42 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=174 latency_ms=10201.3 cost_usd=0.0027
04:06:42 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:06:42 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:06:42 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:06:42 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:06:42 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:06:42 signed hash_algo=sha256 hash=sha256:36d75e443c0f07645f0f81ead36cde4fbd3101c60bd17bdbac17fe45a094428e

Content hash

sha256:36d75e443c0f07645f0f81ead36cde4fbd3101c60bd17bdbac17fe45a094428e

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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