Stability Analysis of the two-slit experiment with quantum particles

Using Lagrange–Poincare stability analysis and some catastrophe theory classification of singularities, we analyze the two-slit experiments of quantum physics. It is shown that assuming micro-spacetime to be a Fuzzy Kähler-like manifold K(ε(∞)) with an inbuilt wave–particle duality, one of the two slits is always unstable. Consequently, the faintest interference with the experiment is sufficient to break the symmetry of “equilibrium” and leads to what is perceived on the other side of the quantum-classical interface as a wave collapse.