2008/12/19 by Laurent Nottale · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cold Fusion and Nuclear Reactions #Cosmology #Earth Systems and Cosmic Evolution #Fractal #Gauge theory #General relativity #Gravitation #Planet #Solar System #Theory of relativity #physics.gen-ph
paper · pdf · doi:10.1007/s10699-010-9170-2
published as Found.Sci.15:101-152,2010 · 63 pages, 14 figures. In : First International Conference on the Evolution and Development of the Universe,8th - 9th October 2008, Paris, France
arxiv created 2008/12/19 · openalex publication_date 2010/03/05 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the first part of this contribution, we review the development of the theory of scale relativity and its geometric framework constructed in terms of a fractal and nondifferentiable continuous space-time. This theory leads (i) to a generalization of possible physically relevant fractal laws, written as partial differential equation acting in the space of scales, and (ii) to a new geometric foundation of quantum mechanics and gauge field theories and their possible generalisations. In the second part, we discuss some examples of application of the theory to various sciences, in particular in cases when the theoretical predictions have been validated by new or updated observational and experimental data. This includes predictions in physics and cosmology (value of the QCD coupling and of the cosmological constant), to astrophysics and gravitational structure formation (distances of extrasolar planets to their stars, of Kuiper belt objects, value of solar and solar-like star cycles), to sciences of life (log-periodic law for species punctuated evolution, human development and society evolution), to Earth sciences (log-periodic deceleration of the rate of California earthquakes and of Sichuan earthquake replicas, critical law for the arctic sea ice extent) and tentative applications to system biology.