The Mechanism · Gated-generation receipt

gen-state-the-resolving-power-of-a-telescope-precisely-and-expla-5b2e

stable pending witness
2026-05-29 05:45:18 UTC · anthropic/claude-sonnet-4-5

Prompt

State the resolving power of a telescope precisely and explain why it matters in 2-3 sentences.
95 chars

Generation

# Resolving Power of a Telescope **Precise Definition:** The resolving power is the ability of a telescope to distinguish two closely spaced objects as separate entities, quantified by the minimum angular separation θ = 1.22λ/D (where λ is wavelength and D is aperture diameter). **Why It Matters:** Higher resolving power allows astronomers to see finer details in celestial objects, such as separating binary stars, discerning surface features on planets, or resolving individual stars in distant galaxies. This capability is fundamental to observational astronomy because it directly determines how much structural information we can extract from astronomical objects, making larger apertures essential for detailed cosmic observations.
29 tokens in · 153 tokens out · 4011 ms · $0.0024

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
4021.8 ms
Base LLM
4010.8 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0024

Trail

05:45:18 received prompt_chars=95 verifiers=['scripture_anchors', 'theology_doctrine']
05:45:18 red_gate decision=pass reason=no disqualifying input patterns detected
05:45:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=153 latency_ms=4010.8 cost_usd=0.0024
05:45:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:45:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:45:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:45:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:45:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:45:22 signed hash_algo=sha256 hash=sha256:0631c73984f2e54d965f9c5498075c4a16582e8de95763b6405442b148498ae5

Content hash

sha256:0631c73984f2e54d965f9c5498075c4a16582e8de95763b6405442b148498ae5

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.

Bring another teaching · Run a discernment