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uncertainty-and-units

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Tracks physical units and propagates measurement uncertainty in scientific calculations using pint and uncertainties. Use for unit conversion and dimensional checking, GUM uncertainty budgets, Type A and Type B evaluation, coverage factors and expanded uncertainty, Monte Carlo propagation, significant-figure and plus-minus reporting, error propagation through curve fits, CODATA constants, auditing Python code for stripped units or broken uncertainty propagation, and order-of-magnitude plausibility checks using dimensionless groups (Reynolds, Peclet, Damkohler, Knudsen, Biot, Womersley), characteristic scales such as diffusion time or Debye length, and observed magnitude ranges. Trigger on "is this number physically reasonable", "sanity check these units", "what regime is this flow in", or a result that looks off by orders of magnitude.

skills/uncertainty-and-units/SKILL.md

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Nov 9, 2026
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MIT

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# Uncertainty and units

## Scope

Use this skill whenever a calculation carries physical units or a reported number needs
an uncertainty. Concretely:

- converting between units, including conversions that need a physical context
  (wavelength to photon energy, mass to amount of substance, energy to temperature);
- propagating uncertainty through a measurement model, with or without correlated inputs;
- building a GUM uncertainty budget from calibration certificates, specifications, and
  repeatability data;
- choosing a coverage factor and deciding whether `k = 2` is defensible;
- rounding and writing a result so a reader knows what the `±` means;
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