Last modification: 07-05-2008

What's New on this site? 

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• 2004-2008: see pages  downloadable papers

• 05-10-04: Poster presented at the "Journées de la SF2A", 14-18 June 2004, Paris: "Distribution of orbital elements of planets and exoplanets in scale relativity"   (JPEG)
Confirmation of previous results, and new results concerning:
                                                   *the period of the solar activity cycle (11 years)
                                                   *the distribution of the scattered Kuiper belt objects
                                                   *the new small planet Sedna and similar objects
•                                                    *a new population of exoplanets extremely close to their star (0.02 AU/M_sol)
• 18-03-04: new page "downloadable papers", classified according to topic

• 19-01-04: paper published in Journal of Physics A: Mathematical and General, 37, 931-955 (7 January 2004): Célérier M.N. & Nottale L., "Quantum-classical transition in scale relativity" (PDF)

 
• 08-07-03:
• Poster presented at  XIXth IAP colloquium "Extrasolar Planets: Today and Tomorrow", 30 June-4 July 2003, PDF version, jpg version (poster)->: Structuring of the semimajor axis and eccentricity distributions of exoplanets
• Paper published in Pour la Science, July 2003: "La relativité d'échelle à l'épreuve des faits" (in French).
• Three new preprints accessible from the page downloadable papers :
• Nottale L., Célérier M.N. & Lehner T., 2003, "Gauge field theory in scale relativity" (PDF)
•   Da Rocha D. & Nottale L., 2003,  "On the morphogenesis of stellar flows. Application to planetary nebulae". (PDF)
•   Nottale L., 2003,  "The Pioneer anomalous acceleration: a measurement of the cosmological constant at the scale of the solar system". (PDF)

 
• 15-05-03: other paper accessible from the page downloadable papers:
• Nottale, L., 1992, Int. J. Mod. Phys. A7, 4899-4936

"The theory of scale relativity"
• 11-04-03: other paper accessible from the page downloadable papers:
• Nottale, L., 1994, Chaos, Solitons & Fractals, 4, 361-388.

"Scale-Relativity, Fractal Space-Time and Quantum Mechanics"
• 18-03-03: new papers accessible from the page  downloadable papers:
•   Nottale L., 2003, preprint (review paper) "Fractal Space-Time, Non-Derivability and Scale Relativity"
•   Célérier M.N. & Nottale L., 2003, Electromagnetic Phenomena T. 3, N°1 (9), 83, special issue dedicated to the 75th anniversary of the discovery of the Dirac equation: "A scale-relativistic derivation of the Dirac Equation"
•   Nottale, L., 2002, in "Penser les limites. Ecrits en l'honneur d'André Green", sous la direction de César Botella, (Delachiaux et Niestlé, Paris, 2002)), p.157: "Relativité, être et ne pas être" (in French)

 
• 24-09-02: page and papers about the study of the log-periodic structure of evolutive chronologies (acceleration and deceleration of some lineages of the tree of life, economic history of civilizations, human development):
• Chaline, J., Nottale, L., Grou, P., 1999, C.R. Acad. Sci. Paris, 328, IIa, 717

 "Is the tree of life a fractal structure ?". (PDF)
Reprinted in: "Points sur... Sciences de la Terre IX: évolution", (Académie des Sciences, Elsevier 2001)
• Nottale, L., Chaline, J., & Grou, P., 2001, in Fractals in Biology and Medicine, Vol III, Proceedings of Fractal 2000 Third International Symposium, Eds. G. Losa, D. Merlini, T. Nonnenmacher and E. Weibel, Birckhäuser Verlag, p. 247.

 "On the fractal structure of evolutionary trees". (PDF)
• Nottale, L., 2001, Revue de Synthèse, T. 122, 4e S., N°1, janvier-mars 2001, p. 93-116 (in french)

 "Relativité d'échelle et morphogénèse". (PDF)
• Cash R., Chaline, J., Nottale, L., Grou, P., 2002, C.R. Biologies  325, 585-590

 "Développement humain et loi log-périodique".  (PDF)
• 12-09-02: chronological list of papers downloadable from this site

• 16-07-02: Nottale, L., 2002, in Traité IC2, Traitement du Signal et de l'Image, "Lois d'échelle, fractales et ondelettes", sous la direction de P. Abry, P. Gonçalvès et J. Levy Vehel  (Hermès Lavoisier 2002), Vol. 2, Chap. 7, pp. 233-265.  "Relativité d'échelle, nondifférentiabilité et espace-temps fractal" (pdf) (in French)

 
• 11-07-02: other available papers and / or other versions (pdf):
• Nottale, L., 1996, Astron. Astrophys. Lett. 315, L9. "Scale-Relativity and Quantization of Extrasolar Planetary Systems" (pdf)
• Nottale, L., Schumacher, G., Gay, J., 1997,  Astron. Astrophys., 322, 1018. "Scale Relativity and Quantization of the Solar System"  (pdf)
• Nottale, L., 1997, Astron. Astrophys., 327, 867. "Scale relativity and  Quantization of the Universe. I. Theoretical framework." (pdf)
• 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" (pdf)
• Nottale, L., Schumacher, G., & Lefèvre, E.T., 2000, Astron. Astrophys., 361, 379. "Scale relativity and quantization of exoplanet orbital semi-major axes" (pdf)

 
• 05-07-02. Article "Theory of Electron in Scale Relativity", by L. Nottale, Electromagnetic Phenomena, T.3, No (9), 24, special issue dedicated to the 75th anniversary of the discovery of the Dirac equation (postscript) (pdf)

 
• 29-05-02. Other available preprints and reprints:
• "Non-differentiable space-time and scale relativity", by L. Nottale, invited conference in  "Géométrie au XXè siècle", Proceedings of International Colloquium, Paris, 24-29 Septembre 2001, Ed. D. Flament, submitted (postscript) or (pdf)
• "Relativité d'échelle et morphogenèse" (in french), by L. Nottale, published in: Revue de Synthèse, T. 122, 4e S., N°1, janvier-mars 2001, p. 93-116 (pdf)
• "Scale relativity and non-differentiable fractal space-time", by L. Nottale, published in: Frontiers of Fundamental Physics, Proceedings of Birla Science Center Fourth International Symposium, 11-13 dec. 2000, Hyderabad, India, Eds. B.G. Sidharth and M.V. Altaisky, (Kluwer Academic), p. 65. (postscript) or (pdf)

 
• 16-04-02. Article "Scale-relativistic cosmology", by L. Nottale, Chaos, Solitons & Fractals 16, 539 (2003) (postscript, ou pdf).

• 26-03-02. Preprint "Gravitational structure formation in scale relativity", by D. Da Rocha and L. Nottale, Chaos, Solitons & Fractals 16, 565 (2003) (pdf).

 
• 03-01-02.  Update of references. Preprint "Dirac equation in Scale relativity", by M.N. Célérier and L. Nottale (ArXiv: hep-th/0112213).

 
• 23-10-01. Published in   ACTUALITIES (SCIENTIFIC NEWS) of the web site of  OBSERVATOIRE DE PARIS, in May 2001: Prédiction des orbites des planètes et exoplanètes (in French). 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

• 20/02/01. Table des matières, Avant-propos et Quatrième de couverture de La relativité dans tous ses états (Hachette, 1998) (in French)

 
• 05/02/01. Update of references. Access to Postscript versions (.ps, compressed with Gzip) or pdf versions for some of them:
• Nottale, L., 1997, Astron. Astrophys., 327, 867.  "Scale relativity and Quantization of the Universe. I. Theoretical framework." (postscript) or (pdf)
• Nottale, L., Schumacher, G., & Lefèvre, E.T., 2000, Astron. Astrophys., 361, 379. "Scale relativity and quantization of exoplanet orbital semi-major axes". (postscript) or (pdf)
• Nottale, L., 2000, in "Science of the Interface", Proceedings of International Colloquium in honor of Otto Rössler, ZKM Karlsruhe, 18-21 May 2000, Ed. H. Diebner et al. (Genista, Tubingen, 2001), p. 38. (postscript) or (pdf)

 
• 23/10/00. Update of references. Update of results concerning extrasolar planets.

 
• 16/2/00. Publication of two popular books (in French):

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Laurent Nottale: La relativité dans tous ses états (Hachette Littératures, Oct. 1998)

• Laurent Nottale, Jean Chaline, Pierre Grou: Les arbres de l'évolution: Univers, vie, sociétés (Hachette Littératures, Mars 2000)



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• 04-06-98: New pages added: online version of Chapters 1 and 2 of the book "Fractal Space-Time and Microphysics" (© World Scientific)

 
• 19-12-97. New pages added: errata, prediction of the mass of the electron from its charge, summary of results and predictions of ScR and this page