publications

Laurent Nottale
Liste des publications sur le thème: "Relativité d'échelle et espaces-temps fractals".

(source : site Web Laurent Nottale - 2000)

Nottale, L., Schneider, J., 1984, J. Math. Phys., 25, 1296.

"Fractals and Non-Standard Analysis".

Nottale, L., 1988, C. R. Acad. Sc. Paris, 306, 341

"Sur le temps de la microphysique".

Nottale, L., 1989, International Journal of Modern Physics, A4, 5047-5117

"Fractals and the Quantum Theory of Space-Time".

Nottale, L., 1990, in "Particle Astrophysics: The early Universe and Cosmic Structures", 10th Moriond Astrophysics meeting, eds. A. Blanchard and J. Tran Thanh Van (Frontières), p. 13.

"The fractal structure of the quantum space-time".

Nottale, L., 1990, in "Applying Fractals in Astronomy", 2th Journées de Strasbourg, Eds. A. Heck and J. Perdang (Springer-Verlag), p. 181.

"The Fractal Structure of the Quantum Space-Time".

Nottale, L., 1991, in "Progress in Electromagnetics Research Symposium", Proceedings (Cambridge, USA), p. 754.

"Fractals and Quantum Theory of Space-Time".

Nottale, L., 1992, International Journal of Modern Physics A7, 4899-4936

"The Theory of Scale Relativity".

Nottale, L., 1992, invited conference, DISTANCIA'92, International Meeting on Distance Analysis (Rennes, France), S. Joly & G. Le Calvé eds., Université de Rennes, p.317.

"Distances et Relativité"

LIVRE:

Nottale, L., 1993, (World Scientific, 1993), 333 pp.

"Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity."

Pour une traduction (© World Scientific) du Chapitre 1 (Introduction) et du Chapitre 2 (Relativité et Physique Quantique), cliquer ici.

Nottale, L., 1993, in "Cellular Automata: Prospects in Astrophysical Applications" , Université de Liège, A. Lejeune and J. Perdang (eds.), (World Scientific, 1993), pp.268-277.

"Emergence of structures from chaos."

Nottale, L., 1994, Chaos, Solitons & Fractals, 4, 361-388. Reprinted in "Quantum Mechanics, Diffusion and Chaotic Fractals", Eds. M.S. El Naschie, O.E. Rössler and I. Prigogine (Pergamon, 1995), p.51

"Scale-Relativity, Fractal Space-Time and Quantum Mechanics".

Nottale, L., 1994, invited conf., "First International Conference on Complex Systems in Computational Physics", Buenos-Aires, Ed. Marshall (Pergamon), Chaos, Solitons & Fractals 6, 401.

"Scale-Relativity: From Quantum Mechanics to Chaotic Dynamics".

Nottale, L., 1994, invited conference in "Relativity in General", E.R.E. 93 (Spanish Relativity Meeting) Salas, Ed. J. Diaz Alonso and M. Lorente Paramo (Frontières), p.121.

"Scale-Relativity: First Steps toward a Field Theory".

Nottale, L., 1994, in "Le Big-Bang en question", Science et Vie Hors Série, 189, 116

"Univers Primordial et Relativité d'Echelle".

Nottale, L., 1995, invited conference in "Chaos and diffusion in Hamiltonian systems", (Chamonix, Février 1994), Ed. D. Benest et C. Froeschlé (Frontière), pp 173-198.

"New Formulation of Stochastic Mechanics. Application to Chaos".

Nottale, L., 1995, in "Fractal Reviews in the Natural and Applied Sciences", Proceedings of "Fractals'95", Ed. M.M. Novak, (Chapman & Hall, London, 1995), pp. 12-23.

"Scale Relativity: Many-Particle Schrödinger Equation".

Nottale, L., 1995, Pour la Science, 215, 34 (Septembre 1995)

"L'Espace-Temps Fractal".

Nottale, L., 1995, in "Clustering in the Universe", 15th Moriond Astrophysics meeting, eds. S. Maurogordato, C. Balkowski, C. Tao and J. Tran Thanh Van (Frontières), p. 523

"Scale Relativity and Structuration of the Universe".

Article de revue:

Nottale, L., 1996, Chaos, Solitons and Fractals, 7, 877-938

"Scale Relativity and Fractal Space-Time: Application to Quantum Physics, Cosmology and Chaotic systems".

Nottale, L., 1996, Astron. Astrophys. Lett., 315, L9

"Scale relativity and quantization of extrasolar planetary systems".

Nottale, L., and Schumacher, G., Gay, J., 1997, Astron. Astrophys., 322, 1018-1025

"Scale relativity and quantization of the Solar System".

Nottale, L., 1997, Astron. Astrophys., 327, 867

"Scale relativity and quantization of the universe. I. Theoretical framework"

Nottale, L., 1997, in "Scale invariance and beyond", proceedings of Les Houches school, Ed. B. Dubrulle, F. Graner and D. Sornette, (EDP Sciences /Springer), p. 249.

"Scale relativity"

Nottale, L., 1997, in Proceedings of I.A.C. colloquium, Paris 8 University, Intelligence artificielle et complexité, Ed. A. Ali Cherif et J. Signorini, p. 66

"La relativité d'échelle".

Nottale, L., 1997, in "Planetary systems: the long view", Proceedings of IXè rencontres de Blois, , Eds. L. Celnikier et J. Tran Thanh Van, Frontières, p. 51

"Scale-relativity and universal structures in planetary systems".

Nottale, L., 1997, in Les Trous Noirs, Pour la Science (Dossier hors série), p.57.

"Sommes-nous dans un trou noir ?".

Nottale, L., 1997, in Proceedings of Institute Kurt Bösch workshop, "Emergence, Entropy and the Creative Universe", Ed. T. Bernold, p. 155.

"The scale-relativistic view of the world".

Nottale, L., 1997, in Proceedings of Colloquium, "Dimension", Maison des Sciences de l'Homme, Eds. D. Flament, Chap. VIII.

"Dimension fractale et relativité d'échelle".

Nottale, L., 1998, Ciel et Terre, Bulletin de la Société royale belge d'Astronomie, vol 114 (2), 63-71.

"Relativité d'échelle et cosmologie".

Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1035

"Scale relativity and quantization of planet obliquities".

Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1043

³Scale Relativity and Quantization of the Planetary System around the pulsar PSR B1257+12 ².

Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1051

"Scale relativity and Schrödinger's equation".

Nottale, L. & Schumacher G., 1998, in "Fractals and beyond : Complexities in the Sciences", Proceedings of 'Fractal 98' conference, (World Scientific), Ed. M.M. Novak, p. 149.

"Scale relativity, fractal space-time and gravitational structures".

LIVRE (en français):

Laurent Nottale, (Hachette Littératures, 1998, collection Sciences), 319 pp.

"La Relativité dans tous ses Etats : Au delà de l'Espace-Temps".

Nottale, L., 1999, Chaos, Solitons and Fractals, 10, 459 (special issue)

"The Scale-Relativity Program".

Nottale, L., 1999, Proceedings of I.A.C.'98 colloquium, Paris 8 University, Intelligence artificielle et complexité, Eds. A. Ali Cherif et J. Signorini, sous presse

"Relativité d'échelle et structuration gravitationnelle".

Chaline, J., Nottale, L., Grou, P., 1999, C.R. Acad. Sci. Paris, 328, 717

"L'arbre de la vie a-t-il une structure fractale ?"

Nottale, L., 1999, La Mazarine, Oct. 1999, 10, p. 21.

"Relativité restreinte d'échelle et cosmologie".

Nottale, L., Schumacher, G., & Lefèvre, E.T., 1999, Astron. Astrophys., soumis pour publication

"Scale relativity and exoplanet orbit quantization".

Nottale, L., Galopeau, P.H.M., & Lefèvre, E.T., 1999, Physics and Chemistry of the Earth, soumis pour publication

"Scale relativity and quantization of planetary systems".

Nottale, L., 1999, Proceedings of 4è Forum Halieumétrique, Les espaces de l'halieutique, Ed. N. Bez, sous presse

"La théorie de la relativité d'échelle: réflexions pour une application à l'halieutique"

Nottale, L., 1999, in Temps, an 2000, ed. Desjeunes, sous presse

"De la relativité du mouvement à la relativité d'échelle".

Nottale, L., 2000, Revue de Synthèse, à paraître

"Relativité d'échelle: structure de la théorie".

Nottale, L., 2000, Revue de Synthèse, à paraître

"Relativité d'échelle et morphogénèse".

LIVRE (en français)

Nottale, L., Chaline, J., & Grou, P., (Hachette Littératures, Mars 2000), 380pp.

"Les arbres de l'évolution: Univers, Vie, Sociétés".

Nottale, L.,

"The Quantization of the Universe.

II. Gravitational systems, en préparation.

III. Comparison to observational data, en préparation.

Hermann, R. & Nottale, L., en préparation

"Scale relativity and quantization of satellite systems

Nottale, L., Schumacher, G., Lefèvre, E.T., en préparation

"Quantization of binary stars".

Nottale, L., Lefèvre, E., en préparation

"Quantization of eccentricities in planetary systems".

Nottale, L., Schumacher, G., en préparation

"Scale relativity and global redshift quantization".

Nottale, L., en préparation

"Special scale-relativity and cosmology".

Nottale, L., en préparation

"Scale Dynamics".

Nottale, L., 1992, preprint non publié

"Scale relativity and the fine structure constant".

Nottale, L., 1993, preprint non publié

"Scale relativity and the QCD coupling constant".

Nottale, L., 1993, preprint non publié

"Mach principle, Dirac large numbers, vacuum energy density and the cosmological constant problem in scale relativity ".

Autres publications sur la relativité d'échelle (ou qui lui sont reliées)

Castro, C., Foundations of Physics Lett., 10, 273

"String theory, scale relativity and the generalized uncertainty principle"

Castro, C., preprint hep-th/9612003

"Incorporating the scale-relativity principle in string theory and extended objects"

Dubrulle, B. & Graner F., 1996, J. Phys. II (Fr) 6, 797.

"Possible Statistics of Scale Invariant Systems"

Hermann, R. P., 1997, J. Phys. A30, 3967-3975, 1997

"Numerical simulation of a quantum particle in a box"

Herrmann, F., 1997, Ph.D. Thesis, Delft University of Technology, The Netherlands

"A scaling medium representation, a discussion on well-logs, fractals and waves" (voir en particulier l'Epilogue)

Pissondes, J.C., 1999, Chaos, Solitons and Fractals 10, 513

"Covariance in general relativity and scale-covariance in scale-relativity, quadratic invariants and Leibniz rule"

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