International Journal of Theoretical Physics

, Volume 45, Issue 8, pp 1589–1611

Glafka 2004: Spacetime Topology from the Tomographic Histories Approach

I: Non-Relativistic Case
  • Ioannis Raptis
  • Petros Wallden
  • Romàn R. Zapatrin
Article
  • 35 Downloads

Abstract

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.

Key Words

spacetime topology consistent histories causal sets classical and quantum gravity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Ioannis Raptis
    • 1
    • 2
  • Petros Wallden
    • 2
  • Romàn R. Zapatrin
    • 3
  1. 1.Algebra and Geometry Section, Department of MathematicsUniversity of AthensAthensGreece
  2. 2.Theoretical Physics Group, Blackett LaboratoryImperial College of Science, Technology and MedicineLondonUK
  3. 3.Department of Information ScienceThe State Russian MuseumSt. PetersburgRussia

Personalised recommendations