Geometric Determinism in Chiral-Induced Spin Selectivity: A de Brogliean Nonlinear Wave Approach.

Standard statistical quantum mechanics relies on abstracted spin-orbit coupling param eters that physically break down when predicting room-temperature Chiral-Induced Spin Selectivity (CISS). To achieve functional zero-leakage nanoelectronic transport, continuous spatial geometry must replace statistical approximations. This manuscript redefines the chiral molecular lattice not as a passive barrier, but as a macroscopic, active structural man ifestation of the Euler Complex Plane (ECP). We introduce the geometric spatial frequency constraint (p = hψ) and the cubic spatial compaction multiplier (O(10100)) to define the propagating electron as a rigid, topological logarithmic spiral. Within this uncloaked De Brogliean framework, spin is no longer an intrinsic point-particle property, but a physical 4πf axial precession mapping precisely to the structural handedness of the molecule. Phase matching dictates deterministic ballistic transport, while geometric mismatch yields absolute topological orthogonality (⟨Ψ+,Ψ−⟩ = 0), neutralizing the scattering transition probability (Pscattering ≡ 0) and blocking transport without thermal dissipation.