On Certain Structures in Dispersion Relations for Electrons and Homolumo-gap-effect Abstract: We review some structures in dispersion relations for electrons leading via the Adler Bell Jakiw anomaly able to in magnetic and electric fields bringing electrons from one singularity simulating Weyl equation to another one. This may be of great interest. Further we consider what we call the homolumo-gap-effect, which we seek to define as a very general effect resulting from the back reaction of the fermions/the electrons on ``bosonic'' variables(what really means e.g. the positions of the ions or some smeared out properties of may be the elctrons themselves). Such effects might be speculated to be used in some pre-standard model fundamental physics to lead to the appearnce of Weyl particles.