Bohrification of local nets of observables

Details Bohrification of local nets of observables Bohrification of local nets of observables

2011-09-07

arxiv.org/abs/1109.1397v1

Physics

Mathematical Physics

40 pages. This is the author's Bachelor thesis

Scientific paper

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 satisfies descent by a local geometric morphism.

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