2005/06/30 by I. Raptis, Ioannis Raptis, Petros Wallden +2 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Artificial intelligence #Biofield Effects and Biophysics #Computer science #General topology #Iterative reconstruction #Mathematics #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Relativity and Gravitational Theory #Set (abstract data type) #Space (punctuation) #Spacetime #Theoretical physics #Tomographic reconstruction #Topological space #Topology (electrical circuits) #gr-qc
paper · pdf · doi:10.1007/s10773-006-9138-8
published in International Journal of Theoretical Physics 45(8), 1589-1611 (Springer Science+Business Media) · 19 pages, slight chang in title and corrected typos in second version. To appear to a special proceedings issue (Glafka 2004) of the International Journal of Theoretical Physics
arxiv created 2006/07/18 · openalex publication_date 2006/09/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.