This book is the first volume of a two-volume work, which is an
improved version of a preprint [47] published in German. We seek to
deduce the funda mental concepts of quantum mechanics solely from a
description of macroscopic devices. The microscopic systems such as
electrons, atoms, etc. must be detected on the basis of the
macroscopic behavior of the devices. This detection resembles the
detection of the dinosaurs on the basis offossils. In this first
volume we develop a general description of macroscopic systems by
trajectories in state spaces. This general description is a basis
for the special de scription of devices consisting of two parts,
where the first part is acting on the second. The microsystems are
discovered as systems transmitting the action. Axioms which
describe general empirical structures of the interactions between
the two parts of each device, give rise to a derivation of the
Hilbert space structure of quantum mechanics. Possibly, these
axioms (and consequently the Hilbert space structure) may fail to
describe other realms than the structure of atoms and mole cules,
for instance the "elementary particles". This book supplements ref.
[2]. Both together not only give an extensive foundation of quantum
mechanics but also a solution in principle of the measuring
problem.
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