Tunnel effect as a hidden variable theory test

In this work we have shown that the tunnel effect through an unidimensional rectangular barrier can be described as a stochastic process by means of a random-walk approximation model. Through this approximation we observed good agreement with the quantum mechanical predictions for the tunneling probability over the same conditions. For this specific model, we have observed that the diffusion coefficient, in the energy space, has to be inversely proportional to the exponential of the mass of the particle. Comparing with Quantum Mechanics prediction we conclude that the necessary noise to get quantum effects is very high, contrasting with the current Quantum Mechanics alternative proposals.