publications

Laurent Nottale

List of publications on:

"Scale Relativity and fractal space-time".

Chronological order. February 1997.

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"

BOOK:

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

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

For an on-line version (© World Scientific) of Chapter 1 (Introduction) and Chapter 2 (Relativity and Quantum Physics), click here.

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".

Review paper:

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., 1996, Astron. Astrophys., 322, 1018-1025, 1997

"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, Chaos, Solitons and Fractals, in press

"The Schrödinger equation in scale relativity".

Nottale, L., Pissondes, J.C., 1997, submitted for publication

"Scale Relativity and the Klein-Gordon equation".

Nottale, L., 1996, submitted for publication

"Chaos, Ordre et Désordre: le Point de Vue de la Relativité d'Echelle".

Nottale, L., 1997, Chaos, Solitons and Fractals, 8, in press

"Scale relativity and quantization of the planetary system around the pulsar PSR B1257+12 ".

Nottale, L., 1997, Chaos, Solitons and Fractals, 8, in press

"Scale relativity and quantization of obliquities in the Solar System".

Nottale, L., 1996, submitted for publication

"Relativité d'échelle et structuration des systèmes planétaires".

Nottale, L., 1997, in preparation

"The Quantization of the Universe.

II. Gravitational systems, in preparation.

III. Comparison to observational data, in preparation.

Hermann, R. & Nottale, L., in preparation

"Scale relativity and quantization of satellite systems

Nottale, L., Schumacher, G., Lefèvre, E.T., 1997, in preparation

"Quantization of binary stars".

Nottale, L., Lefèvre, E., 1997, in preparation

"Quantization of eccentricities in planetary systems".

Nottale, L., Schumacher, G., 1997, in preparation

"Scale relativity and global redshift quantization".

Nottale, L., 1997, in preparation

"Special scale relativity and cosmology".

Nottale, L., 1996, in preparation

"Scale Dynamics".

Nottale, L., 1992, preprint

"Scale relativity and the fine structure constant".

Nottale, L., 1993, preprint

"Scale relativity and the QCD coupling constant".

Nottale, L., 1993, preprint

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

Autres publications sur la relativité d'échelle

Castro, C., Foundations of Physics, in press

"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" (see in particular the Epilogue)

Pissondes, J.C., Chaos, Solitons and Fractals, in press

"Energy and Hamilton-Jacobi equation in scale-relativity"

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