 
Summary: Quantum Structures and their Future
Importance
Diederik Aerts
FUND and CLEA,
Brussels Free University,
Pleinlaan 2, 1050 Brussels;
email: diraerts@vub.ac.be
Relativity theory, formulated in great part by one person, Albert Einstein [1],
is founded on the concept of `event', which is a concept that is physically well
defined and understood [2]. Within relativity theory itself, the events are rep
resented by the points of a four dimensional spacetime continuum. In this way,
relativity theory has a well defined physical and mathematical base.
The development of quantum mechanics proceeded in a rather haphazard
manner, with the introduction of many illdefined and poorly understood new
concepts. During its first years, from 1890 to 1925, quantum mechanics, com
monly referred to as the `old quantum theory', did not even possess a coherent
mathematical basis. In 1926 Werner Heisenberg formulated matrix mechanics
in a mainly technical effort to explain and describe the energy spectrum of the
atoms [3]. Around the same time Erwin Schršodinger elaborated wave mechanics
which seemed to have a more solid physical base: a general idea of waveparticle
