The Mechanism · Gated-generation receipt

gen-define-atmospheric-stability-and-give-one-short-worked-examp-63b7

stable pending witness
2026-05-29 05:39:24 UTC · anthropic/claude-sonnet-4-5

Prompt

Define atmospheric stability and give one short worked example.
63 chars

Generation

# Atmospheric Stability **Definition:** Atmospheric stability refers to the atmosphere's resistance to vertical motion. It describes whether an air parcel, once displaced vertically, will continue to rise/sink (unstable), return to its original position (stable), or remain at its new position (neutral). **Key principle:** Compare the temperature of a rising/sinking air parcel to the surrounding environment. - **Stable:** Parcel is cooler (denser) than surroundings → sinks back - **Unstable:** Parcel is warmer (less dense) than surroundings → continues rising - **Neutral:** Parcel has same temperature as surroundings --- ## Worked Example **Given:** - Surface air parcel at 20°C - Environmental lapse rate: 5°C/km - Dry adiabatic lapse rate (DALR): 10°C/km - Parcel rises 1 km **Solution:** *Parcel temperature at 1 km:* - Cools at DALR: 20°C - 10°C = **10°C** *Environmental temperature at 1 km:* - Cools at 5°C/km: 20°C - 5°C = **15°C** **Result:** The parcel (10°C) is **cooler than its surroundings (15°C)**, so it's denser and will sink back down. **Conclusion:** The atmosphere is **STABLE** because the environmental lapse rate (5°C/km) is less than the DALR (10°C/km).
17 tokens in · 376 tokens out · 8635 ms · $0.0057

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
8642.6 ms
Base LLM
8635.1 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0057

Trail

05:39:24 received prompt_chars=63 verifiers=['scripture_anchors', 'theology_doctrine']
05:39:24 red_gate decision=pass reason=no disqualifying input patterns detected
05:39:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=376 latency_ms=8635.1 cost_usd=0.0057
05:39:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:39:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:39:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:39:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:39:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:39:32 signed hash_algo=sha256 hash=sha256:e0439f1779d1895ab51da6f25f94186662d98dcbadb1d9734ae46391646df43f

Content hash

sha256:e0439f1779d1895ab51da6f25f94186662d98dcbadb1d9734ae46391646df43f

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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