An Overlap Map from Āryabhaṭa's Half-Chord to Modern Physics, with a Voyager 1 sgn(V) Check

The Bow, the Ship and the Hinge: A paper mapping where Āryabhaṭa's bow (half-chord, complement, arrow) overlaps special relativity, quantum mechanics, QED and general relativity, where each leaves it, and where the tools stop, with a benchtop polarization-keying protocol read by ratios and hemisphere sign. A companion report tests on archival Breakthrough Listen data that sgn(V) of Voyager 1's carrier stays constant under an arbitrary labeling of the two receiver streams. Both PDFs embed their full source code: extract with pdfdetach -saveall or the attachments panel of a desktop PDF viewer.