Orbital Functional Geometry: Complete Series (Papers I–XXI)

This record collects the complete Orbital Functional Geometry series (Papers I–XXI), developed by Judicael Brindel between February and March 2026. The series constructs a new mathematical object, the Orbital Space O, from the equation eP(x)(az+b) = f(x), and develops its complete theory across 21 papers covering: metric structure, foliation, spectral theory, orbital Laplacian, complex extension, Schrödinger linearisation, Fisher-KPP, Riemannian geometry, reaction-diffusion equations, zeta function, and a complete classification of PDEs admitting orbital linearisation (Cole-Hopf correspondence).