The Time Operator of Reals

Miloš Milovanović; Srđan Vukmirović

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Paper

The Time Operator of Reals

Topics: Complexity Theory; Information and Entropy; Information Theory and Applications for Multi-Disciplines; Non-Linear Dynamics; Self-Organizing Systems, Expert and Intelligent Systems

In Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk COMPLEXIS - Volume 1, 75-84, 2019 , Heraklion, Crete, Greece

Authors: Miloš Milovanović ¹ and Srđan Vukmirović ²

Affiliations: ¹ Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade and Serbia ; ² Mathematical Faculty, University of Belgrade, Belgrade and Serbia

Keyword(s): Intuitionism, Continuum, Real Numbers, Measurement Problem, Multiresolution, Self-organization.

Abstract: The purpose of the paper is to establish the continuum in terms of the complex systems physics. It is based upon the intuitionistic mathematics of Brouwer, implying a processual definition of real numbers that concerns the measurement problem. The Brouwerian continuum is proved to be a categorical skeleton of complex systems whose determining feature is the existence of time operator. Acting on continuous signals, the time operator represents multiresolution hierarchy of the measurement process. The wavelet domain hidden Markov model, that recapitulates statistical properties of the hierarchy, is applicable to a wide range of signals having experimental verification. It indicates a novel method that has already been proved tremendously useful in applied mathematics.

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Paper citation in several formats:

Milovanović, M. and Vukmirović, S. (2019). The Time Operator of Reals. In Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - COMPLEXIS; ISBN 978-989-758-366-7; ISSN 2184-5034, SciTePress, pages 75-84. DOI: 10.5220/0007747000750084

@conference{complexis19,
author={Miloš Milovanović. and Srđan Vukmirović.},
title={The Time Operator of Reals},
booktitle={Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - COMPLEXIS},
year={2019},
pages={75-84},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007747000750084},
isbn={978-989-758-366-7},
issn={2184-5034},
}

TY - CONF

JO - Proceedings of the 4th International Conference on Complexity, Future Information Systems and Risk - COMPLEXIS
TI - The Time Operator of Reals
SN - 978-989-758-366-7
IS - 2184-5034
AU - Milovanović, M.
AU - Vukmirović, S.
PY - 2019
SP - 75
EP - 84
DO - 10.5220/0007747000750084
PB - SciTePress