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Published on: December 4, 2017
Scale relativity theory and integrative systems biology: 2. Macroscopic quantum-type mechanics
Laurent Nottale1, Charles Auffray
1LUTH, CNRS, Observatoire de Paris and Paris Diderot University-Paris VII, 5 Place Jules Janssen, 92190 Meudon, France. laurent.nottale@obspm.fr
Progress in Biophysics and Molecular Biology
|November 10, 2007
Summary
This study introduces scale relativity theory, explaining fractal spacetime geometry
Area of Science:
- Integrative Systems Biology
- Theoretical Physics
- Biophysics
Background:
- Integrative systems biology faces the challenge of multiscale integration.
- Scale relativity theory describes effects of fractal spacetime geometry.
- Previous work constructed scale laws and applied them to biological systems.
Purpose of the Study:
- To describe effects of fractal trajectories on motion.
- To derive a Schrödinger-type equation from fractal geodesic equations.
- To explore applications in morphogenesis and cellular structure emergence.
Main Methods:
- Analyzing motion in standard space influenced by fractal trajectories.
- Deriving a Schrödinger-type equation in fractal spacetime.
- Re-interpreting gauge transformations as scale transformations.
- Introducing complexergy as a measure of organizational complexity.
Main Results:
- Classical dynamics transform into generalized, quantum-like self-organized dynamics.
- A Schrödinger-type equation is derived from fractal geodesic equations.
- Gauge fields are constructed via scale transformations in fractal spacetime.
- Complexergy is proposed as a measure of organizational complexity.
Conclusions:
- Scale relativity offers a framework for an integrative theory of life.
- The theory provides a basis for novel macroscopic quantum-type experiments.
- Applications include analysis, engineering, and management of physical and biological systems.
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