The Mechanism · Gated-generation receipt

gen-state-simple-harmonic-motion-precisely-and-explain-why-it-ma-2e50

hold
2026-05-29 03:48:19 UTC · anthropic/claude-sonnet-4-5

Prompt

State simple harmonic motion precisely and explain why it matters in 2-3 sentences.
83 chars

Generation

# Simple Harmonic Motion **Precise Definition:** Simple harmonic motion (SHM) is oscillatory motion where the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction: F = -kx, resulting in sinusoidal position as a function of time. **Why It Matters:** SHM is the fundamental model for all small oscillations in nature—from atoms vibrating in molecules to springs, pendulums, and AC circuits—making it essential for understanding everything from timekeeping to quantum mechanics. Additionally, any periodic motion can be decomposed into simple harmonic components (Fourier analysis), making SHM the building block for analyzing complex vibrations in engineering, acoustics, and signal processing.
26 tokens in · 164 tokens out · 4090 ms · $0.0025

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
4097.5 ms
Base LLM
4090.3 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0025

Trail

03:48:19 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
03:48:19 red_gate decision=pass reason=no disqualifying input patterns detected
03:48:23 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=164 latency_ms=4090.3 cost_usd=0.0025
03:48:23 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:48:23 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:48:23 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:48:23 way_gate decision=wait reason=output contains coercion language: ['force']
03:48:23 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:48:23 signed hash_algo=sha256 hash=sha256:cf66681a7fbf3302954fda743b87dae203e7ff0adf16dbf91da672ba89dde455

Content hash

sha256:cf66681a7fbf3302954fda743b87dae203e7ff0adf16dbf91da672ba89dde455

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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