The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-phase-and-antiphase-state-any-key-f-02bc

stable pending witness
2026-05-29 07:57:14 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain phase and antiphase. State any key formula.
69 chars

Generation

**Phase** refers to when two waves oscillate in step with each other, reaching their peaks and troughs simultaneously (phase difference = 0° or 0 radians). **Antiphase** occurs when two waves oscillate exactly out of step, with one wave's peak aligning with the other's trough (phase difference = 180° or π radians). The key formula for phase difference is: **Δφ = 2π(Δx/λ)** or **Δφ = 360°(Δx/λ)** where Δφ is the phase difference, Δx is the path difference, and λ is the wavelength. When waves are in phase, they interfere constructively (maximum amplitude), while antiphase waves interfere destructively (minimum or zero amplitude).
27 tokens in · 185 tokens out · 7778 ms · $0.0029

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
7785.4 ms
Base LLM
7778.4 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

07:57:14 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
07:57:14 red_gate decision=pass reason=no disqualifying input patterns detected
07:57:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=185 latency_ms=7778.4 cost_usd=0.0029
07:57:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:57:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:57:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:57:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:57:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:57:22 signed hash_algo=sha256 hash=sha256:46304cb390500a17bb2838dfdf0bdf5181af53b6b1fec8d6114d840be7b4f078

Content hash

sha256:46304cb390500a17bb2838dfdf0bdf5181af53b6b1fec8d6114d840be7b4f078

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.

Bring another teaching · Run a discernment