Some Mathematical Examples of Emergent Intuitive Local Time Flow

After reviewing important historical and present day ideas about the concept of time, we develop some instances of mathematical examples where, from the interaction of concepts that model interactions of things in the observable world, time flow emerges in an intuitive and local interpretation. We present several instances of emergence of time flow in mathematical contexts, to wit, by specific parametrisation of deterministic and stochastic curves or of geodesics in Riemann manifolds.

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Publication Details

Journal
Foundations
Published
2024-10-08
DOI
https://doi.org/10.3390/foundations4040035
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Some Mathematical Examples of Emergent Intuitive Local Time Flow

Nadezhda P. Krasii, Manuel L. Esquível, Philippe L. Didier
1 links
Foundations
Stochastic processes and financial applications
article

Some Mathematical Examples of Emergent Intuitive Local Time Flow

Nadezhda P. Krasii, Manuel L. Esquível, Philippe L. Didier
article en

Abstract

After reviewing important historical and present day ideas about the concept of time, we develop some instances of mathematical examples where, from the interaction of concepts that model interactions of things in the observable world, time flow emerges in an intuitive and local interpretation. We present several instances of emergence of time flow in mathematical contexts, to wit, by specific parametrisation of deterministic and stochastic curves or of geodesics in Riemann manifolds.

FoundationsVol. 4(4)
Don State Technical University (RU), Universidade Nova de Lisboa (PT)
Fundação para a Ciência e a Tecnologia
Openalex Percentile: Top 76%
Stochastic processes and financial applications
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