The capstone accepts only a source-bound chain across interference, diffraction, grating, and film checks. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The audit collects five checked sources

The capstone is a source ledger. It does not recompute a new physics claim; it checks that each earlier source is pinned and accepted.

sources=5\text{sources}=5
Wave-optics source collectionPath, Young, diffraction, grating, and film sources are all present.path Apath Bfringe ysinesinethicknesspath sourceYoung sourcediffraction sourcegrating sourcefilm sourceaccepted

Each source contributes one checked value

The audit table keeps the source values visible before the final accepted bit is read.

sourcechecked valueΔ4 my8 mslit accepted1grating accepted1film accepted1\begin{array}{c|c} \text{source}&\text{checked value}\\\Delta&4\ \text{m}\\y&8\ \text{m}\\\text{slit accepted}&1\\\text{grating accepted}&1\\\text{film accepted}&1\end{array}

The final wave-optics claim cites every source

The audit accepts only a coherent chain of path, Young fringe, diffraction, grating, and thin-film sources.

Δ=4 m;y=8 m;slit accepted=1;film accepted=1\Delta=4\ \text{m};\quad y=8\ \text{m};\quad \text{slit accepted}=1;\quad \text{film accepted}=1
Wave-optics source auditEvery accepted output is tied to a pinned source identity.path Apath Bfringe ysinesinethicknesspath sourceYoung sourcediffraction sourcegrating sourcefilm sourceaccepted