Towards Interactions Through Differentiable-Non-Differentiable Scale Transitions In Scale Relativity Theory

It is shown that, in the framework of Scale Relativity Theory, correlations of type informational entropy/cross entropy - probability density, in the description of the dynamics of any complex system, can be perceived as interactions. Explaining these interactions for a Gaussian - type probability density, implies both attractive forces (of Newtonian type) and repulsive forces (oscillatory harmonic type).