The Mechanism · Gated-generation receipt

gen-state-newton-s-second-law-precisely-and-explain-why-it-matte-da09

hold
2026-05-29 07:46:46 UTC · anthropic/claude-sonnet-4-5

Prompt

State Newton's second law precisely and explain why it matters in 2-3 sentences.
80 chars

Generation

# Newton's Second Law **Precise statement:** The net force acting on an object equals the rate of change of its momentum with time. For constant mass, this simplifies to **F = ma** (net force equals mass times acceleration). **Why it matters:** This law provides the fundamental quantitative relationship between forces and motion, allowing us to predict exactly how objects will move under any given forces. It's the cornerstone of classical mechanics and enables everything from designing bridges and vehicles to calculating planetary orbits and launching spacecraft.
26 tokens in · 111 tokens out · 3950 ms · $0.0017

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
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
3957.7 ms
Base LLM
3950.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0017

Trail

07:46:46 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
07:46:46 red_gate decision=pass reason=no disqualifying input patterns detected
07:46:50 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=111 latency_ms=3950.2 cost_usd=0.0017
07:46:50 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:46:50 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:46:50 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:46:50 way_gate decision=wait reason=output contains coercion language: ['force']
07:46:50 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:46:50 signed hash_algo=sha256 hash=sha256:1e3d25589082479c8270aa71eba4a6e5cbabd3b8272af65e21e19974718a9783

Content hash

sha256:1e3d25589082479c8270aa71eba4a6e5cbabd3b8272af65e21e19974718a9783

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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