Bounded answer
Recompute the output across an explicitly bounded change in atmospheric refraction, preserve all other inputs, and report both the numerical delta and every categorical boundary crossing.
Input contract
What must be fixed first
Baseline canonical input manifest
One explicitly varied input or convention
Frozen kernel and dependencies
Numerical and categorical comparison thresholds
Procedure
Work the decision in order
- 1
Freeze the baseline manifest and kernel.
- 2
Define the variation before seeing the preferred interpretation.
- 3
Recompute every point under the same operation.
- 4
Measure numerical deltas and boundary crossings.
- 5
Withhold outputs that are unstable across the admitted interval.
Expected outputs
- Sensitivity table
- Stable and unstable output sets
- Boundary-crossing and refusal report
Refuse when
- Near the horizon, an unspecified refraction model can change whether a rise or set condition is met.
- Required input, unit, convention, or dependency version is absent.
- An interpretive preference selects the computational convention after outputs are seen.
Questions this guide answers
How does uncertainty in atmospheric refraction change deterministic outputs?
Vary atmospheric refraction inside a declared interval while holding every other input and the kernel fixed.
Which information must be versioned?
At minimum, preserve geometric altitude, refraction model, pressure, temperature, observer elevation, and horizon criterion, together with the canonical input and output digests.
When should an output be withheld?
Withhold it when near the horizon, an unspecified refraction model can change whether a rise or set condition is met. or when a required dependency cannot be identified.
Does determinism validate the interpretation?
No. Determinism makes the computation reproducible; interpretive or predictive validity requires a separate prospective evaluation.
What belongs in the receipt?
The operation, canonical inputs, units, assumptions, dependency versions, outputs, uncertainty treatment, and package digest.
Limits
- Near the horizon, an unspecified refraction model can change whether a rise or set condition is met.
- Reproducible astronomical arithmetic does not validate an astrological interpretation or prediction.
- No missing number, uncertainty interval, or calculation receipt is invented.