The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-length-contraction-state-any-key-fo-04b2

stable pending witness
2026-05-29 08:40:04 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain length contraction. State any key formula.
68 chars

Generation

Length contraction is a relativistic effect where an object moving at high speed appears shorter along its direction of motion when measured by a stationary observer. The object's length in its own rest frame (proper length L₀) is always the longest, while observers in relative motion measure a contracted length. The key formula is: **L = L₀√(1 - v²/c²)** or **L = L₀/γ**, where L is the contracted length, L₀ is the proper length, v is the relative velocity, c is the speed of light, and γ is the Lorentz factor. This effect only becomes significant at speeds approaching the speed of light.
25 tokens in · 153 tokens out · 4425 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
4433.0 ms
Base LLM
4424.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

08:40:04 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
08:40:04 red_gate decision=pass reason=no disqualifying input patterns detected
08:40:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=153 latency_ms=4424.6 cost_usd=0.0024
08:40:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:40:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:40:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:40:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:40:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:40:08 signed hash_algo=sha256 hash=sha256:93ad275f4cbdd81aad63c2db10f33e5d42a9e035ad671fe8ae75382d1c6c5e91

Content hash

sha256:93ad275f4cbdd81aad63c2db10f33e5d42a9e035ad671fe8ae75382d1c6c5e91

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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