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Pregeometric concepts on graphs and cellular networks as possible models of space-time at the Planck-scale
journal contribution
posted on 2023-06-08, 00:58 authored by Manfred Requardt, Thomas NowotnyThomas NowotnyStarting from the working hypothesis that both physics and the corresponding mathematics have to be described by means of discrete concepts on the Planck-scale, one of the many problems one has to face is to find the discrete protoforms of the building blocks of continuum physics and mathematics. In the following we embark on developing such concepts for irregular structures like (large) graphs or networks which are intended to emulate (some of) the generic properties of the presumed combinatorial substratum from which continuum physics is assumed to emerge as a coarse grained and secondary model theory. We briefly indicate how various concepts of discrete (functional) analysis and geometry can be naturally constructed within this framework, leaving a larger portion of the paper to the systematic developement of dimensional concepts and their properties, which may have a possible bearing on various branches of modern physics beyond quantum gravity.
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Publication status
- Published
Journal
Chaos, Solitons & FractalsISSN
0960-0779Publisher
ElsevierExternal DOI
Issue
2-3Volume
10Page range
469-481Department affiliated with
- Informatics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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