  In this paper we reformulate some results obtained by Heisenberg into modern
mathematical language of honeycombs. This language was developed in connection
with complete solution of the Horn conjecture problem. Such a reformulation is
done with the purpose of posing and solving the following problem. Is by
analysing the (spectroscopic) experimental data it possible to restore the
underlying microscopic physical model generating these data? Development of
Heisenberg's ideas happens to be the most useful for this purpose. Solution is
facilitated by our earlier developed string-theoretic formalism. In this paper
only qualitative arguments are presented (with few exceptions). These arguments
provide enough evidence that the underelying microscopic model compatible with
Veneziano-type amplitudes is the standard (i.e. non supersymmetric!) QCD. In
addition, usefulness of the formalism is illustrated on numerous examples such
as physically motivated solution of the saturation conjecture, derivation of
the Yang-Baxter and Knizhnik-Zamolodchikov equations as well as Verlinde and
Hecke algebras, computation of the Gromov-Witten invariants for small quantum
cohomology ring, etc. Finally, we discuss several scattering experiments
testing correctness of our calculations and propose some possible new uses of
these ideas in condensed matter physics.
