The Mechanism · Gated-generation receipt

gen-state-the-doppler-shift-in-spectra-precisely-and-explain-why-0698

stable pending witness
2026-05-29 03:09:21 UTC · anthropic/claude-sonnet-4-5

Prompt

State the Doppler shift in spectra precisely and explain why it matters in 2-3 sentences.
89 chars

Generation

## Doppler Shift in Spectra The Doppler shift is the change in observed wavelength (or frequency) of light due to relative motion between source and observer: λ_observed = λ_emitted × (1 + v/c) for motion along the line of sight, where v is positive for recession and negative for approach. This matters because it allows astronomers to measure velocities of celestial objects—from detecting exoplanets through stellar wobbles, to measuring galaxy rotation curves that revealed dark matter, to discovering the universe's expansion through galactic redshifts. It transforms spectroscopy from merely identifying elements into a tool for measuring cosmic motion and dynamics.
30 tokens in · 150 tokens out · 4108 ms · $0.0023

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
4115.1 ms
Base LLM
4107.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0023

Trail

03:09:21 received prompt_chars=89 verifiers=['scripture_anchors', 'theology_doctrine']
03:09:21 red_gate decision=pass reason=no disqualifying input patterns detected
03:09:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=150 latency_ms=4107.8 cost_usd=0.0023
03:09:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:09:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:09:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:09:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:09:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:09:25 signed hash_algo=sha256 hash=sha256:df44220f431fb07fe2b1c6df01dc78a28aa2f9de34b2db64e5f7664b5cffcd56

Content hash

sha256:df44220f431fb07fe2b1c6df01dc78a28aa2f9de34b2db64e5f7664b5cffcd56

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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