02 · Compass Needs Clock Accuracy — tested
Supplied working report; original verdicts not validated.
Review status: Needs review. This is an archival source note, not a passed proof.
report.md
# 02 · Compass Needs Clock Accuracy — tested **Source:** Incoprea Theory, Volume XXIII, Theory 10 (monarch-compass-calibration). **Claim (verbatim):** "Monarch navigation accuracy is set by the ratio of circadian clock precision to the rate the sun moves, so a slightly inaccurate clock produces a large directional error." **Prediction:** "Heading error should track clock error." **Refutation:** "Heading tracking sun azimuth would remove the clock." ## Why probable The time-compensated sun compass is the established model of monarch orientation; the sun's azimuth moves ~15°/hour, so clock error converts directly into heading error. ## Method Solar-position computation (hour-angle formula) to get the true azimuth rate during fall migration (solar declination −8°), then map clock error e (hours) to heading error = azimuth rate × e, and to lateral displacement over a nominal 2,500-mile migration (code/monarch_test.py). ## Results - Azimuth rate near solar noon at migration latitudes: **24.2°/h at 25°N, 20.4°/h at 35°N, 17.9°/h at 45°N, 16.4°/h at 55°N** — i.e., close to, and locally above, the canonical 15°/h. - Heading error for clock error e (using 13°/h as a conservative mid-latitude value): | clock error | heading error | lateral miss over 2,500 mi | |---|---|---| | 15 min | 3.2° | ≈ 142 mi | | 30 min | 6.5° | ≈ 283 mi | | 1 h | 13.0° | ≈ 562 mi | | 2 h | 26.0° | ≈ 1,096 mi | ## Verdict **SUPPORTED.** Heading error tracks clock error linearly through the sun's azimuth rate, and even a tens-of-minutes clock error produces a large navigational miss. The mechanism is exact given the time-compensated compass assumption, which is independently established in monarch literature. ## Limitations - Uses a fixed declination and nominal flight length; real butterflies correct en route. - The test verifies the quantitative mapping, not clock precision values of live monarchs. Working report — not peer reviewed. Educational information, not medical advice. AI-assisted test: DeepSeek.