No need of Fourier
In Quantum Mechanics, position and momentum are conjugate variables . The probability density function in momentum space, φ(p;t), is the Fourier transform of the wave function in position space, ψ(x;t). A consequence of that is the Kennard inequality that describes the Uncertainty principle . A related consequence is that position and momentum operators are noncommuting, thus these observables are said to be incompatible and cannot in general be measured simultaneously. In our local-realistic model , there is no need of the abstract mathematical formulation of standard quantum mechanics. In the latest post we have seen that the Schrödinger equation and the Born rule can be retrieved without appealing to complex wave functions. Indeed, we have already evaluated the position probability density function (in the case of a free particle with any type of source preparation) from the model's elementary rules of motion . The key role in this evaluation is played by ex...