If ultrahigh energy cosmic rays (UHECRs) with E> 4 x 10(19) eV originate fr
om BL Lacertae at cosmological distances as suggested by recent studies, th
e absence of the GZK cutoff cannot be reconciled with standard-model partic
le properties. Axions would escape the GZK cutoff, but even the coherent co
nversion and back conversion between photons and axions in large-scale magn
etic fields is not enough to produce the required flux. However, one may co
nstruct models of other novel (pseudo)scalar neutral particles with propert
ies that would allow for sufficient rates of particle production in the sou
rce and shower production in the atmosphere to explain the observations. As
an explicit example for such particles we consider SUSY models with light
sgoldstinos.