The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-real-versus-virtual-images-state-an-a9eb

stable pending witness
2026-05-29 03:28:39 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain real versus virtual images. State any key formula.
76 chars

Generation

A **real image** forms when light rays actually converge at a point and can be projected onto a screen; it appears on the opposite side of the lens or mirror from the object. A **virtual image** forms when light rays only appear to diverge from a point (they don't actually meet), cannot be projected, and appears on the same side as the object. **Key formula:** The mirror/lens equation is **1/f = 1/do + 1/di**, where f is focal length, do is object distance, and di is image distance. Real images have positive di values, while virtual images have negative di values.
26 tokens in · 138 tokens out · 4198 ms · $0.0021

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
4205.3 ms
Base LLM
4198.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:28:39 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
03:28:39 red_gate decision=pass reason=no disqualifying input patterns detected
03:28:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=138 latency_ms=4198.3 cost_usd=0.0021
03:28:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:28:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:28:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:28:43 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:28:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:28:43 signed hash_algo=sha256 hash=sha256:7364b345c7796ea9fe12de60e6121a76cc7c2d0c88edf92d884dbcb627f39311

Content hash

sha256:7364b345c7796ea9fe12de60e6121a76cc7c2d0c88edf92d884dbcb627f39311

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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