The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-cosmic-microwave-background-sta-4962

stable pending witness
2026-05-29 08:15:56 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the cosmic microwave background. State any key formula.
81 chars

Generation

The cosmic microwave background (CMB) is the remnant thermal radiation from the early universe, emitted approximately 380,000 years after the Big Bang when the universe cooled enough for atoms to form and photons to travel freely. This "first light" has been redshifted by cosmic expansion from ~3000 K to its current temperature of **T ≈ 2.725 K**, making it a microwave signal detectable in all directions. The CMB follows a nearly perfect blackbody spectrum described by **Planck's law: B(ν,T) = (2hν³/c²) · 1/(e^(hν/kT) - 1)**, where h is Planck's constant, k is Boltzmann's constant, and ν is frequency. Tiny temperature fluctuations in the CMB (about 1 part in 100,000) provide crucial evidence for the Big Bang theory and reveal the seeds of cosmic structure formation.
27 tokens in · 221 tokens out · 5541 ms · $0.0034

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
5548.3 ms
Base LLM
5541.3 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0034

Trail

08:15:56 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
08:15:56 red_gate decision=pass reason=no disqualifying input patterns detected
08:16:02 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=221 latency_ms=5541.3 cost_usd=0.0034
08:16:02 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:16:02 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:16:02 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:16:02 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:16:02 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:16:02 signed hash_algo=sha256 hash=sha256:8e966204eafadec8f2c0b27665e6e2d183b37331466eab1b8d86c135cf21335e

Content hash

sha256:8e966204eafadec8f2c0b27665e6e2d183b37331466eab1b8d86c135cf21335e

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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