Unusual Possibilities for the Pomeranchon

Two classes of unusual possibilities for the leading angular momentum singularities in vacuum quantum numbers are explored. The first class attempts to eliminate the need for an essential singularity at $J=1\mathrm{}$ by requiring the Pomeranchon to be a "self-reproducing" singularity. The second class attempts to implement a maximum-strength principle through a "colliding poles" mechanism. None of the models studied is believed likely to correspond to the actual situation.