A dynamical system theoretical approach to Newtonian mechanics (Q2718010)
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scientific article; zbMATH DE number 1606229
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dynamical system theoretical approach to Newtonian mechanics |
scientific article; zbMATH DE number 1606229 |
Statements
13 January 2002
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measurements
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Newtonian equation
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dynamical systems
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observation
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probability
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A dynamical system theoretical approach to Newtonian mechanics (English)
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This paper tries to throw a bridge between Newtownian mechanics and the theory of dynamical systems with observation measurements. Clearly the paper tries to introduce the concept of measurement in Newtonian mechanics. And this is done by using Liouville's equation. This problem has already been considered by \textit{L. Nottale} [Fractal space-time and microphysics: Towards a theory of scale relativity, World Scientific (1993; Zbl 0789.58003)] who proposed another approach, and in this way obtained a sound theoretical basis for quantum mechanics.
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