Spacetime topology from the tomographic histories approach I: Non-relativistic Case

Details Spacetime topology from the tomographic histories approach I: Non-relativistic Case Spacetime topology from the tomographic histories approach I: Non-relativistic Case

2005-06-16

arxiv.org/abs/gr-qc/0506088v2

Int.J.Theor.Phys. 45 (2006) 1595-1617

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, slight chang in title and corrected typos in second version. To appear to a special proceedings issue (Glafka 2004)

Scientific paper

10.1007/s10773-006-9138-8

The tomographic histories approach is presented. As an inverse problem, we recover in an operational way the effective topology of the extended configuration space of a system. This means that from a series of experiments we get a set of points corresponding to events. The difference between effective and actual topology is drawn. We deduce the topology of the extended configuration space of a non-relativistic system, using certain concepts from the consistent histories approach to Quantum Mechanics, such as the notion of a record. A few remarks about the case of a relativistic system, preparing the ground for a forthcoming paper sequel to this, are made in the end.

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