The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-carnot-cycle-state-any-key-form-9710

stable pending witness
2026-05-29 08:36:05 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the Carnot cycle. State any key formula.
66 chars

Generation

The Carnot cycle is an idealized thermodynamic cycle consisting of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression. It represents the most efficient heat engine possible operating between two temperature reservoirs. The Carnot efficiency is given by **η = 1 - T_C/T_H**, where T_C is the absolute temperature of the cold reservoir and T_H is the absolute temperature of the hot reservoir. This efficiency sets the theoretical maximum for any heat engine and depends only on the temperatures of the two reservoirs.
27 tokens in · 131 tokens out · 3025 ms · $0.002

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
3030.6 ms
Base LLM
3024.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

08:36:05 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
08:36:05 red_gate decision=pass reason=no disqualifying input patterns detected
08:36:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=131 latency_ms=3024.9 cost_usd=0.002
08:36:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:36:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:36:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:36:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:36:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:36:08 signed hash_algo=sha256 hash=sha256:e7017f9cac2ff7e35f2b6d2a16341c4cb99583b4e31bef8d0b2c6f571ec0016b

Content hash

sha256:e7017f9cac2ff7e35f2b6d2a16341c4cb99583b4e31bef8d0b2c6f571ec0016b

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