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Books > Science & Mathematics > Physics > Relativity physics
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The Mathematical Principles of Scale Relativity Physics - The Concept of Interpretation (Paperback)
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The Mathematical Principles of Scale Relativity Physics - The Concept of Interpretation (Paperback)
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The Mathematical Principles of Scale Relativity Physics: The
Concept of Interpretation explores and builds upon the principles
of Laurent Nottale's scale relativity. The authors address a
variety of problems encountered by researchers studying the
dynamics of physical systems. It explores Madelung fluid from a
wave mechanics point of view, showing that confinement and
asymptotic freedom are the fundamental laws of modern natural
philosophy. It then probes Nottale's scale transition description,
offering a sound mathematical principle based on continuous group
theory. The book provides a comprehensive overview of the matter to
the reader via a generalization of relativity, a theory of colors,
and classical electrodynamics. Key Features: Develops the concept
of scale relativity interpreted according to its initial definition
enticed by the birth of wave and quantum mechanics Provides the
fundamental equations necessary for interpretation of matter,
describing the ensembles of free particles according to the
concepts of confinement and asymptotic freedom Establishes a
natural connection between the Newtonian forces and the Planck's
law from the point of view of space and time scale transition: both
are expressions of invariance to scale transition The work will be
of great interest to graduate students, doctoral candidates, and
academic researchers working in mathematics and physics.
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