A new solution for the two-slit experiment

A completely new mathematical solution of the two-slit experiment is given. The corresponding physical model suggests, for the first time, that the wave-particle duality is simply an expression of the non-classical topology and geometry of quantum spacetime when projected into our 3 + 1 Euclidean space. However if we disregard the topological cause of the projected behaviour and concentrate only on what is the case, then the observed wave-particle behaviour may be regarded as a physical realization of Gödel’s undecidability theorem. The essence of the present solution may be summarized in the following statement: If we could perform the two-slit experiment in a laboratory of a size comparable to that of an elementary particle, the wave-particle duality would cease to exist. It is remarkable that we do not assume quantum mechanics but end up confirming its results.