Endo- and exo-theories of matter

The endo/exo-dichotomy in the domain of the material world is analyzed from the standpoint of old-fashioned Cartesian dualism. The holistic structure of the quantum world enforces a Platonic view for the universally valid laws governing matter. In contrast to the structural simplicity of non-operational quantum endophysics, the empirical reality and experiments belong to quantum exophysics. In algebraic quantum mechanics, the transition from quantum endophysics to quantum exophysics is mathematically welldefined. The exophysical richness and variety of the concrete and particular emerges by imposing a new, contextually selected topology into fundamental endophysics. In the Cartesian world view, the inverse problem, however, is ill-posed. Though the endophysical realm can be grasped by human reason, endophysics cannot be set up from sense data and experiments without recourse to primordial images. Endoand exo-description in the material domain A pertinent distinction referring to internal vs. external viewpoints has been introduced by Otto Rössler [34], and David Finkelstein [10, 11] under the name «endophysics» and «exophysics», respectively. In spite of the fact that this endo/exo distinction is of utmost importance, there is not yet a general agreement about the essence of this new notion. The reader should therefore be aware that in spite of similar (but not quite identical) definitions, various authors associate quite different ideas and research programs with this endo/exo– dichotomy. I will adopt the following characterization1: Definition 1: A system without accessible external observers is called an