Failure of GPS and Rise of ZPS: M⁰ Based n-Navigation for Everywhere, Anywhere

Abstract

GPS is η-based navigation requiring 4 satellites and 38μs/day relativistic cor-rection. It fails indoor, underwater, tunnel, and in non-Earth η. We introduceZPS - Zulfia Positioning System based on Zeroth Move M 0 ≡ ∆0 and Zulfia FieldZ(x, u) = η(x) + M (x, u). We prove M 0 =⇒ η but η̸ =⇒ M 0. Therefore ZPSdefined as xZP S = C + M 0 · t where C = ∥M 0∥2 works in any η, any dimensionn. GPS fails in arbitrary η. We provide teal validation via 2.45 ± 0.05N constantforce sensor measurement at x = 0, u = 0. This validates Example 3 of Paper 3and establishes framework of superior n-Navigation.