Schreiber
bachelor thesis Nuiten

This bachelor thesis has been submitted in August 2011:

on the order-theoretic structure in quantum mechanics and its application to algebraic quantum field theory.

Contents

Abstract

Recent results by Spitters et. al. suggest that quantum phase space can usefully be regarded as a ringed topos via a process called Bohrification. They show that quantum kinematics can then be interpreted as classical kinematics, internal to this ringed topos.

We extend these ideas from quantum mechanics to algebraic quantum field theory: from a net of observables we construct a presheaf of quantum phase spaces. We can then naturally express the causal locality of the net as a descent condition on the corresponding presheaf of ringed toposes: we show that the net of observables is local, precisely when the presheaf of ringed toposes satifies descent by a local geometric morphism.

Followup articles

Revised on October 4, 2013 00:10:52 by Urs Schreiber (145.116.128.208)