Historical Mathematical Atlas of Matter, Fields, and Geometry

Can historical theories of matter still provide useful mathematics without being mistaken for modern physics? msf:53040 v1.0.2 examines five distinct programmes: Boscovich — distance-dependent force and equilibrium, Clifford — spatial geometry and algebra, Whittaker — harmonic, wave, and electromagnetic representations, Mie — variational matter models and nonlinear electrodynamics, and de Broglie — phase harmony, guidance, and the double-solution programme. The atlas separates four layers throughout: historical source, modern reconstruction, conditional USP transfer, and limitations or counterexamples. Worked analyses cover force-law equilibria, many-body stability, harmonic and electromagnetic representation, gauge structure, phase transport, nonlinear localization, normalization, conserved quantities, spin, and measurement. The central methodological rule is simple: finding an action, finding a solution, proving stability, and establishing experimental adequacy are four different achievements. The atlas therefore treats source fidelity, mathematical correctness, and empirical adequacy as separate questions. Established Maxwell electrodynamics, quantum mechanics, Dirac theory, and quantum field theory remain the physical baseline. The standard additional-physics null remains: A_USP = 0. *SHORT ZENODO SUMMARY A historical-mathematical atlas of Boscovich, Clifford, Whittaker, Mie, and de Broglie that separates original sources, modern reconstruction, physical limitations, and conditional USP transfer. The central test sequence runs from equation and domain through existence, conservation, stability, preparation, and detector response, with exact null A_USP = 0.