  Using a divergent Bass-Burdzy flow we construct a self-repelling
one-dimensional diffusion. Heuristically, it can be interpreted as a solution
to an SDE with a singular drift involving a derivative of the local time. We
show that this self-repelling diffusion inverts the second Ray-Knight identity
on the line. The proof goes through an approximation by a self-repelling jump
processes that has been previously shown by the authors to invert the
Ray-Knight identity in the discrete.
