Scale relativity and fractal space-time: theory and applications
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, writt...
Main Author: | |
---|---|
Format: | Text |
Language: | unknown |
Published: |
arXiv
2008
|
Subjects: | |
Online Access: | https://dx.doi.org/10.48550/arxiv.0812.3857 https://arxiv.org/abs/0812.3857 |
id |
ftdatacite:10.48550/arxiv.0812.3857 |
---|---|
record_format |
openpolar |
spelling |
ftdatacite:10.48550/arxiv.0812.3857 2023-05-15T15:09:02+02:00 Scale relativity and fractal space-time: theory and applications Nottale, Laurent 2008 https://dx.doi.org/10.48550/arxiv.0812.3857 https://arxiv.org/abs/0812.3857 unknown arXiv https://dx.doi.org/10.1007/s10699-010-9170-2 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ General Physics physics.gen-ph FOS Physical sciences article-journal Article ScholarlyArticle Text 2008 ftdatacite https://doi.org/10.48550/arxiv.0812.3857 https://doi.org/10.1007/s10699-010-9170-2 2022-04-01T14:54:32Z 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. : 63 pages, 14 figures. In : First International Conference on the Evolution and Development of the Universe,8th - 9th October 2008, Paris, France Text Arctic Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic |
institution |
Open Polar |
collection |
DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
unknown |
topic |
General Physics physics.gen-ph FOS Physical sciences |
spellingShingle |
General Physics physics.gen-ph FOS Physical sciences Nottale, Laurent Scale relativity and fractal space-time: theory and applications |
topic_facet |
General Physics physics.gen-ph FOS Physical sciences |
description |
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. : 63 pages, 14 figures. In : First International Conference on the Evolution and Development of the Universe,8th - 9th October 2008, Paris, France |
format |
Text |
author |
Nottale, Laurent |
author_facet |
Nottale, Laurent |
author_sort |
Nottale, Laurent |
title |
Scale relativity and fractal space-time: theory and applications |
title_short |
Scale relativity and fractal space-time: theory and applications |
title_full |
Scale relativity and fractal space-time: theory and applications |
title_fullStr |
Scale relativity and fractal space-time: theory and applications |
title_full_unstemmed |
Scale relativity and fractal space-time: theory and applications |
title_sort |
scale relativity and fractal space-time: theory and applications |
publisher |
arXiv |
publishDate |
2008 |
url |
https://dx.doi.org/10.48550/arxiv.0812.3857 https://arxiv.org/abs/0812.3857 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_relation |
https://dx.doi.org/10.1007/s10699-010-9170-2 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.0812.3857 https://doi.org/10.1007/s10699-010-9170-2 |
_version_ |
1766340270470725632 |