An insider's guide to quantum causal histories

Details An insider's guide to quantum causal histories An insider's guide to quantum causal histories

1999-12-16

arxiv.org/abs/hep-th/9912137v2

Nucl.Phys.Proc.Suppl. 88 (2000) 308-313

Physics

High Energy Physics

High Energy Physics - Theory

References added. 6 pages, 3 figures, uses espcrc2.sty. Based on a talk delivered at the Quantum Gravity 99 meeting, held in S

Scientific paper

10.1016/S0920-5632(00)00791-X

A review is given of recent work aimed at constructing a quantum theory of cosmology in which all observables refer to information measurable by observers inside the universe. At the classical level the algebra of observables should be modified to take into account the fact that observers can only give truth values to observables that have to do with their backwards light cone. The resulting algebra is a Heyting rather than a Boolean algebra. The complement is non-trivial and contains information about horizons and topology change. Representation of such observables quantum mechanically requires a many-Hilbert space formalism, in which different observers make measurements in different Hilbert spaces. I describe such a formalism, called "quantum causal histories"; examples include causally evolving spin networks and quantum computers.

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