The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-tidal-forces-state-any-key-formula-452c

hold
2026-05-29 06:02:16 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain tidal forces. State any key formula.
62 chars

Generation

Tidal forces arise from the **gradient** in gravitational force across an extended object—the near side experiences stronger gravity than the far side. For a body of radius *r* at distance *R* from a mass *M*, the differential force per unit mass is approximately **ΔF/m ≈ 2GM*r*/R³**, where the key factor is the inverse-cube dependence on distance. This stretching force is responsible for ocean tides on Earth (due to the Moon and Sun) and can tear apart objects that venture too close to massive bodies, within the **Roche limit**. The same mechanism causes tidal locking and tidal heating in moons and planets.
25 tokens in · 154 tokens out · 5406 ms · $0.0024

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
5413.5 ms
Base LLM
5406.2 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

06:02:16 received prompt_chars=62 verifiers=['scripture_anchors', 'theology_doctrine']
06:02:16 red_gate decision=pass reason=no disqualifying input patterns detected
06:02:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=154 latency_ms=5406.2 cost_usd=0.0024
06:02:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:02:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:02:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:02:22 way_gate decision=wait reason=output contains coercion language: ['force']
06:02:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:02:22 signed hash_algo=sha256 hash=sha256:3b7a402734256fba6b06d797f63723f81cd8f875bfdb28f5d73e946bb191eb19

Content hash

sha256:3b7a402734256fba6b06d797f63723f81cd8f875bfdb28f5d73e946bb191eb19

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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