Logic is to the quantum as geometry is to gravity

Details Logic is to the quantum as geometry is to gravity Logic is to the quantum as geometry is to gravity

2010-04-08

arxiv.org/abs/1004.1226v1

Physics

Quantum Physics

plainTeX, 26 pages, 2 figures. To appear in G.F.R. Ellis, J. Murugan and A. Weltman (eds), {\it Foundations of Space and Time}

Scientific paper

I will propose that the reality to which the quantum formalism implicitly refers is a kind of generalized history, the word history having here the same meaning as in the phrase sum-over-histories. This proposal confers a certain independence on the concept of event, and it modifies the rules of inference concerning events in order to resolve a contradiction between the idea of reality as a single history and the principle that events of zero measure cannot happen (the Kochen-Specker paradox being a classic expression of this contradiction). The so-called measurement problem is then solved if macroscopic events satisfy classical rules of inference, and this can in principle be decided by a calculation. The resulting conception of reality involves neither multiple worlds nor external observers. It is therefore suitable for quantum gravity in general and causal sets in particular.

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