Self-Organization and Emergence

Heinz von Foerster 100

Organizing Institutions:

Heinz von Foerster Gesellschaft / Wien

ASC – American Society for Cybernetics

WISDOM – Wiener Institut für

sozialwissenschaftliche Dokumentation und Methodik

Institut für Zeitgeschichte | Universität Wien

AINS – Austrian Institute for Nonlinear Studies

Heinz von Foerster Gesellschaft / Wien

ASC – American Society for Cybernetics

WISDOM – Wiener Institut für

sozialwissenschaftliche Dokumentation und Methodik

Institut für Zeitgeschichte | Universität Wien

AINS – Austrian Institute for Nonlinear Studies

Werner A Hofer

A model of extended electrons

Department of Physics

The University of Liverpool

We present a space-time model of extended electrons, which is formulated in
terms of geometric algebra. Wave properties of the electron are referred to
mass density oscillations. We provide a comprehensive and
non-statistical interpretation of wavefunctions, referring them to mass
density components and internal field components. It is shown that these
wavefunctions comply with the Schrodinger equation, for the free electron
as well as for the electron in electrostatic and vector potentials.

Spin-properties of the electron are referred to intrinsic field components
and it is established that a measurement of spin in an external field yields
exactly two possible results. However, it is also established that the spin
of free electrons is isotropic. Furthermore, the model agrees with the
results of standard theory concerning the hydrogen atom.

Werner A. Hofer, Unconventional approach to orbital-free density functional theory derived from a model of extended electrons, Found. Phys. 41, 754-791 (2011).

Werner Hofer was born in Salzburg, Austria. He undertook his scientific
training in Vienna, at the University of Technology, where he graduated
in 1997 in theoretical surface science. He obtained his PhD at the same
university in 1999, developing transport simulations for scanning tunneling

microscopes. From 1999 until 2002 he worked at University College London
on organic-semiconductor interfaces. In 2002 he was appointed to a
Lectureship in the Departments of Physics and Chemistry at the University
of Liverpool, was promoted to a Readership in 2005, and obtained a
Personal Chair, still jointly in both Departments, in 2006. In 2010 he
was made Director of the newly established Stephenson Institute for
Renewable Energy, a position he still holds. Apart from publishing work
in condensed matter theory, theoretical chemistry, transport theory and
surface science, he has also been working, since 1996, on fundamental
problems in quantum mechanics. The first peer reviewed paper in this field,
dealing with the idea of extended electrons and photons, was published
in Physica A in 1998. Due to the inability, to actually account for a
change of wave-properties of electrons during accelerations, he abandoned
this work for more than ten years, coming back to it only late in 2009
with a new ansatz. Since then the theoretical framework has gradually
grown and now includes not only the paper cited above, presenting a
new model of electrons, but also papers on the question whether the
density of electron charge is a real or a statistical quantity, and
the Einstein-Podolsky-Rosen paradox in the shape of Aspect-type measurements.

Both papers are submitted and currently under review. They can be
obtained in the physics archive under:

arXiv:1105.3914, Is the density of electron charge a statistical quantity?

arXiv:1109.6750, The origin of non-locality in Aspect-type experiments.