“A quantum fractal is a wavefunction with a real and an imaginary part continuous everywhere, but differentiable nowhere. This lack of differentiability has been used as an argument to deny the general validity of Bohmian mechanics (and other trajectory-based approaches) in providing a complete interpretation of quantum mechanics. Here, this assertion is overcome by means of a formal extension of Bohmian mechanics based on a limiting approach. Within this novel formulation, the particle dynamics is always satisfactorily described by a well-defined equation of motion. In particular, in the case of guidance under quantum fractals, the corresponding trajectories will also be fractal.”
Thanks - that clears everything up... ;)
I had a Bohemian mechanic once and...
Oh, Bohmian.
In other words, the equations balance.
mmmmmmmmmm
The are using the limit method v. differential method to describe the trajectory (think slope of a curve at a point).