The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-impedance-and-reactance-state-any-k-b6a5

stable pending witness
2026-05-29 07:11:19 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain impedance and reactance. State any key formula.
73 chars

Generation

**Impedance (Z)** is the total opposition to current flow in an AC circuit, combining both resistance and reactance. **Reactance (X)** is the opposition to current caused specifically by capacitors and inductors, which store and release energy as the AC signal oscillates. **Key formula:** Z = R + jX, where R is resistance, X is reactance (XL for inductors, XC for capacitors), and j is the imaginary unit. The magnitude is |Z| = √(R² + X²).
27 tokens in · 122 tokens out · 3546 ms · $0.0019

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
3555.4 ms
Base LLM
3546.4 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0019

Trail

07:11:19 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
07:11:19 red_gate decision=pass reason=no disqualifying input patterns detected
07:11:23 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=122 latency_ms=3546.4 cost_usd=0.0019
07:11:23 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:11:23 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:11:23 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:11:23 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:11:23 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:11:23 signed hash_algo=sha256 hash=sha256:16e22d9d69edc6888e20d2b8659af0798b0d91bfb9f96b2c5ede7390ee1016ea

Content hash

sha256:16e22d9d69edc6888e20d2b8659af0798b0d91bfb9f96b2c5ede7390ee1016ea

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