# Fractal Space-time And Microphysics Towards A Theory Of Scale Relativity Pdf

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- Fractal Space-Time And Microphysics: Towards A Theory Of Scale Relativity
- Physics:Scale relativity
- Scale Relativity and Fractal Space-Time: Theory and Applications

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## Fractal Space-Time And Microphysics: Towards A Theory Of Scale Relativity

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 systems biology.

This is a preview of subscription content, access via your institution. Rent this article via DeepDyve. Abbott L. American Journal of Physics 37— Agnese A. Physics Letters A — Nature 47— Amelino-Camelia G. Physics Letters B — International Journal of Modern Physics D — Auffray, Ch.

Scale relativity theory and integrative systems biology: 1: Founding principles and scale laws. Progress in Biophysics and Molecular Biology, 97, 79— Ben Adda F. Google Scholar. Applied Mathematics and Computation — Berry M. Journal of Physics A: Mathematical and General — Cafiero R. Europhysics letters — Campagne, J. Carpinteri A. Cash, R.

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Connes A. Academic Press, New York. Connes, A. Noncommutative geometry and matrix theory. Cresson J. Journal of Mathematical Physics — Journal of Mathematical Physics 48 : 1— Gravitational structure formation in scale-relativity. Dubois, D. Computational derivation of quantum relativist electromagnetic systems with forward- backward space-time shifts. Dubrulle, B. Scale invariance and beyond, Proceedings of Les Houches school p. El Naschie M. El Naschie, M. Pergamon, New York.

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Combes, D. Barret, T. Contini, F. Pagani Eds. Paris: EDP Sciences. Gould S. Paleobiology 3 2 : — Grabert H. Physical Review A — Green M. Cambridge University Press, Cambridge. Grou P. Grou, P. Log-periodic laws applied to geosciences. Hall M. Hermann R. Astronomy and Astrophysics — Hinshaw G. Johansen A. Physica A — Jumarie G.

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Fractals in biology and medicine, Proceedings of Fractal 3rd international symposium Vol. Mandelbrot B. Freeman, San Francisco. Martin, P. McKeon D. Physical Review Letters 3—4. Nelson E. Physical Review —

## Physics:Scale relativity

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 systems biology. This is a preview of subscription content, access via your institution. Rent this article via DeepDyve. Abbott L.

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PDF | On Jan 1, , Laurent Nottale published Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity | Find, read and cite all the.

## Scale Relativity and Fractal Space-Time: Theory and Applications

Scale relativity is a geometrical and fractal space-time physical theory. Relativity theories special relativity and general relativity are based on the notion that position, orientation, movement and acceleration cannot be defined in an absolute way, but only relative to a system of reference. The scale relativity theory proposes to extend the concept of relativity to physical scales time, length, energy, or momentum scales , by introducing an explicit "state of scale" in coordinate systems. This extension of the relativity principle using fractal geometries to study scale transformations was originally introduced by Laurent Nottale , [1] based on the idea of a fractal space-time theory first introduced by Garnet Ord, [2] and by Nottale and Jean Schneider. The construction of the theory is similar to previous relativity theories, with three different levels: Galilean, special and general.

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He is the author and inventor of the theory of scale relativity , which aims to unify quantum physics and relativity theory. Nottale began his professional work in the domain of general relativity. He defended his PhD Thesis in June , entitled "Perturbation of the Hubble relation by clusters of galaxies", in which he showed that clusters of galaxies as a whole may act as gravitational lenses on distant sources. Scale relativity claims to extend the concept of relativity to physical scales of time , length , energy , or momentum. The proposal has not attracted wide acceptance by the scientific community. From Wikipedia, the free encyclopedia.

Могла бы не напоминать, - подумал. Мидж подошла к его столу.

Никто лучше его не знал, как тщательно следило агентство за своими сотрудниками, поэтому сообщения, приходящие на этот пейджер, как и отправляемые с него, Стратмор старательно оберегал от чужих глаз. Сьюзан опасливо огляделась. Если до этого Хейл не знал, что они идут, то теперь отлично это понял. Стратмор нажал несколько кнопок и, прочитав полученное сообщение, тихо застонал. Из Испании опять пришли плохие новости - не от Дэвида Беккера, а от других, которых он послал в Севилью.

*Он не собирается выдавать ключи от директорского кабинета всякий раз, когда Мидж придет в голову очередная блажь. Не успел он приняться за чтение отчета службы безопасности, как его мысли были прерваны шумом голосов из соседней комнаты. Бринкерхофф отложил бумагу и подошел к двери.*

1 comments

The smooth space-time fabric of reality seems to break down at very small scales, and become a fractal with infinite depth.

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