A Structural Map of Mathematics: Four Domains, Two Families — Measurement via Aby Refutation Engine (18 August 2026)

Structural measurements showing transforms from quantum physics, signal processing, topology, and medical imaging share two structural families. The Feynman path integral, Wigner distribution, persistent homology, gravitational wave chirps, and tumour boundary signals are all Chirplet-family. The Lorentz transform of special relativity is Fourier-family. The Kalman filter is Laplace-family. Measured using the Aby refutation engine (8-channel NPMI, VyroNyx Private Limited, Bengaluru). Related: DOI 10.5281/zenodo.21975988 and DOI 10.5281/zenodo.21997158.