The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-wave-interference-state-any-key-for-79fe

stable pending witness
2026-05-29 07:31:18 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain wave interference. State any key formula.
67 chars

Generation

Wave interference occurs when two or more waves overlap in the same region of space, combining to form a resultant wave. **Constructive interference** happens when waves align in phase (crest meets crest), producing larger amplitude, while **destructive interference** occurs when waves are out of phase (crest meets trough), reducing or canceling amplitude. The key formula for the path difference condition is: - **Constructive interference**: Δd = nλ (where n = 0, 1, 2, ...) - **Destructive interference**: Δd = (n + ½)λ where Δd is the path difference and λ is the wavelength.
24 tokens in · 154 tokens out · 4262 ms · $0.0024

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
4269.1 ms
Base LLM
4262.4 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0024

Trail

07:31:18 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
07:31:18 red_gate decision=pass reason=no disqualifying input patterns detected
07:31:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=154 latency_ms=4262.4 cost_usd=0.0024
07:31:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:31:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:31:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:31:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:31:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:31:22 signed hash_algo=sha256 hash=sha256:865e2aeb2aa12d594f7abc94e6aa8e59e31283bf37063feffaaa9027ea841d37

Content hash

sha256:865e2aeb2aa12d594f7abc94e6aa8e59e31283bf37063feffaaa9027ea841d37

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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