2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55175The 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.32 pages tcilatex, unpulished conference Report. The discussion of the modular Moeller operator and the in-representation of the Zamolodchikov algebra in section 4 has been extended and an annoying misprint in section 3 was removed. Since the original paper on which this report was based has meanwhile appeared as hep-th/9712124, the present report will remain unchanged in the hep-th archiveHigh Energy Physics - TheoryModular Localization, H-Temperatures and the Bethe Ansatz Structuretext