The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-constructive-and-destructive-interf-9ab6

stable pending witness
2026-05-29 08:50:12 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain constructive and destructive interference. State any key formula.
91 chars

Generation

**Constructive interference** occurs when two waves meet in phase (crest meets crest), causing their amplitudes to add together and create a larger wave. **Destructive interference** occurs when waves meet out of phase (crest meets trough), causing their amplitudes to cancel each other out partially or completely. The key condition for **constructive interference** is that the path difference equals a whole number of wavelengths: **Δd = nλ** (where n = 0, 1, 2, ...). For **destructive interference**, the path difference equals an odd number of half wavelengths: **Δd = (n + ½)λ** (where n = 0, 1, 2, ...).
28 tokens in · 165 tokens out · 3979 ms · $0.0026

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
3988.5 ms
Base LLM
3979.4 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0026

Trail

08:50:12 received prompt_chars=91 verifiers=['scripture_anchors', 'theology_doctrine']
08:50:12 red_gate decision=pass reason=no disqualifying input patterns detected
08:50:16 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=165 latency_ms=3979.4 cost_usd=0.0026
08:50:16 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:50:16 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:50:16 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:50:16 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:50:16 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:50:16 signed hash_algo=sha256 hash=sha256:8c97b30d1c5a14b6dd13bc5c2a05ce8fed0a589e4449dce34e24131dfb6bd821

Content hash

sha256:8c97b30d1c5a14b6dd13bc5c2a05ce8fed0a589e4449dce34e24131dfb6bd821

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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