Die Dozenten der Informatik-Institute der Technischen Universität
Braunschweig laden im Rahmen des Informatik-Kolloquiums zu folgendem
Vortrag ein:
Dr. Andreas Doering, Theoretical Physics Group, Blackett Laboratory,
Imperial College London:
The topos approach to the formulation of physical theories
Beginn: 02.09.2008, 15:00 Uhr
Ort: TU Braunschweig, Mendelssohnstraße 3, Raum MS 3.3
Webseite: http://www.ibr.cs.tu-bs.de/cal/kolloq/2008-09-02-doering.html
Kontakt: Prof. Dr. Jirí Adámek
I will report on recent work with Chris Isham on the application of topos
theory to physics. The Kochen-Specker theorem shows that a naive realist
description of quantum systems is impossible. This can be understood as
the inapplicability of Boolean logic to quantum systems. In order to
arrive at a more realist description, one can use the internal logic
of a certain topos of presheaves. The choice of this topos is irectly
motivated from the Kochen-Specker theorem. I will show which structures
within this topos are of physical significance and how propositions about
physical quantities are assigned truth-values. The whole topos scheme
is not bound to quantum theory, but allows for major generalisations,
potentially in the direction of a future theory of quantum gravity.