The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-conservation-of-momentum-state-any-67cf

hold
2026-05-29 02:54:40 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain conservation of momentum. State any key formula.
74 chars

Generation

Conservation of momentum states that in a closed system with no external forces, the total momentum before an interaction equals the total momentum after the interaction. This principle applies to collisions, explosions, and other interactions between objects. The key formula is: **p₁ᵢ + p₂ᵢ = p₁f + p₂f** (or Σpᵢ = Σpf), where p represents momentum (mass × velocity) for each object, with subscripts i and f denoting initial and final states. Momentum is a vector quantity, so both magnitude and direction must be considered.
25 tokens in · 139 tokens out · 3786 ms · $0.0022

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
3793.7 ms
Base LLM
3786.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

02:54:40 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
02:54:40 red_gate decision=pass reason=no disqualifying input patterns detected
02:54:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=139 latency_ms=3786.3 cost_usd=0.0022
02:54:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:54:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:54:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:54:43 way_gate decision=wait reason=output contains coercion language: ['force']
02:54:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:54:43 signed hash_algo=sha256 hash=sha256:8c90d1169eee98617ebcd20364d302d241c1dd8372d153a73dc5bc89a066ba1f

Content hash

sha256:8c90d1169eee98617ebcd20364d302d241c1dd8372d153a73dc5bc89a066ba1f

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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