The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-redshift-and-hubble-s-law-state-any-3e57

stable pending witness
2026-05-29 07:37:40 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain redshift and Hubble's law. State any key formula.
75 chars

Generation

Redshift occurs when light from distant galaxies is stretched to longer (redder) wavelengths as those galaxies move away from us due to the expansion of the universe. Hubble's Law describes the relationship between a galaxy's distance and its recession velocity, stating that more distant galaxies move away faster. The key formula is: **v = H₀d** where v is the recession velocity, d is the distance to the galaxy, and H₀ is the Hubble constant (approximately 70 km/s/Mpc).
30 tokens in · 123 tokens out · 3566 ms · $0.0019

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
3573.1 ms
Base LLM
3565.6 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0019

Trail

07:37:40 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
07:37:40 red_gate decision=pass reason=no disqualifying input patterns detected
07:37:44 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=123 latency_ms=3565.6 cost_usd=0.0019
07:37:44 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:37:44 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:37:44 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:37:44 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:37:44 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:37:44 signed hash_algo=sha256 hash=sha256:bd3409df783c3bb62c80987c6a1991fed471d5b0af2cabe0883a50fd11df3758

Content hash

sha256:bd3409df783c3bb62c80987c6a1991fed471d5b0af2cabe0883a50fd11df3758

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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