  The recently proposed constructive approach to nonperturbative QFT, based on
modular localization, is reviewed and extended. It allows to unify black holes
physics and H-temperatures (H standing for Hawking or Horizon) with the
bootstrap-formfactor program for nonperturbative construction of low
dimensional QFT. In case of on-shell particle number conservation, the
equations characterizing the modular localization spaces for wedges are
Bethe-Ansatz equation in the form as recently obtained in the treatment of
factorizable models.
