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1

Scale relativity, fractal space-time and quantum mechanics

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

1994

Language:

english

File:

PDF, 1.63 MB

english, 1994

2

FRACTALS AND THE QUANTUM THEORY OF SPACETIME

NOTTALE, LAURENT

Journal:

International Journal of Modern Physics A

Year:

1989

Language:

english

File:

PDF, 3.61 MB

english, 1989

3

Scale Relativity and Fractal Space-Time: Theory and Applications

Laurent Nottale

Journal:

Foundations of Science

Year:

2010

Language:

english

File:

PDF, 1.05 MB

english, 2010

4

THE THEORY OF SCALE RELATIVITY

NOTTALE, LAURENT

Journal:

International Journal of Modern Physics A

Year:

1992

Language:

english

File:

PDF, 754 KB

english, 1992

5

Derivation of the postulates of quantum mechanics from the first principles of scale relativity

Nottale, Laurent, Célérier, Marie-Noëlle

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2007

Language:

english

File:

PDF, 301 KB

english, 2007

6

Origin of Complex and Quaternionic Wavefunctions in Quantum Mechanics: the Scale-Relativistic View

Laurent Nottale

Journal:

Advances in Applied Clifford Algebras

Year:

2008

Language:

english

File:

PDF, 269 KB

english, 2008

7

Multiscale Integration in Scale Relativity Theory

Laurent Nottale

Journal:

Foundations of Science

Year:

2011

Language:

english

File:

PDF, 84 KB

english, 2011

8

Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors

Célérier, Marie-Noëlle, Nottale, Laurent

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 139 KB

english, 2014

9

Progress in integrative systems biology, physiology and medicine: towards a scale-relative biology

Auffray, Charles, Noble, Denis, Nottale, Laurent, Turner, Philip

Journal:

The European Physical Journal A / Hadrons and Nuclei

Year:

2020

Language:

english

File:

PDF, 2.93 MB

english, 2020

10

On the transition from the classical to the quantum regime in fractal space–time theory

Journal:

Chaos, Solitons & Fractals

Year:

2005

Language:

english

File:

PDF, 137 KB

english, 2005

11

Scale relativity and fractal space-time: Applications to quantum physics, cosmology and chaotic systems

Journal:

Chaos, Solitons & Fractals

Year:

1996

Language:

english

File:

PDF, 4.93 MB

english, 1996

12

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

Jean Chaline, Laurent Nottale, Pierre Grou

Journal:

Comptes Rendus de l'Académie des Sciences - Series IIA - Earth and Planetary Science

Year:

1999

Language:

english

File:

PDF, 1.62 MB

english, 1999

13

Développement humain et loi log-périodique

Roland Cash, Jean Chaline, Laurent Nottale, Pierre Grou

Journal:

Comptes Rendus Biologies

Year:

2002

Language:

english

File:

PDF, 77 KB

english, 2002

14

ELECTROMAGNETIC KLEIN–GORDON AND DIRAC EQUATIONS IN SCALE RELATIVITY

CÉLÉRIER, MARIE-NOËLLE, NOTTALE, LAURENT

Journal:

International Journal of Modern Physics A

Year:

2010

Language:

english

File:

PDF, 203 KB

english, 2010

15

The Pauli equation in scale relativity

Célérier, Marie-Noëlle, Nottale, Laurent

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 290 KB

english, 2006

16

Quantum–classical transition in scale relativity

Célérier, Marie-Noëlle, Nottale, Laurent

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 305 KB

english, 2004

17

Turbulence and scale relativity

Nottale, Laurent, Lehner, Thierry

Journal:

Physics of Fluids

Year:

2019

Language:

english

File:

PDF, 2.89 MB

english, 2019

18

Scale relativity and gauge invariance

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

2001

Language:

english

File:

PDF, 85 KB

english, 2001

19

Scale relativity theory and integrative systems biology: 2 Macroscopic quantum-type mechanics

Laurent Nottale, Charles Auffray

Journal:

Progress in Biophysics and Molecular Biology

Year:

2008

Language:

english

File:

PDF, 841 KB

english, 2008

20

Non-Abelian gauge field theory in scale relativity

Nottale, Laurent, Célérier, Marie-Noëlle, Lehner, Thierry

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 541 KB

english, 2006

21

Scale Relativity and Fractal Space-Time (A New Approach to Unifying Relativity and Quantum Mechanics) || BACK MATTER

Nottale, Laurent

Year:

2011

Language:

english

File:

PDF, 320 KB

english, 2011

22

Fractals and nonstandard analysis

Nottale, L., Schneider, J.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 599 KB

english, 1984

23

Emergence of complex and spinor wave functions in scale relativity. I. Nature of scale variables

Nottale, Laurent, Célérier, Marie-Noëlle

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 577 KB

english, 2013

24

NUMERICAL SIMULATION OF A MACRO-QUANTUM EXPERIMENT: OSCILLATING WAVE PACKET

NOTTALE, LAURENT, LEHNER, THIERRY

Journal:

International Journal of Modern Physics C

Year:

2012

Language:

english

File:

PDF, 603 KB

english, 2012

25

The origins of macroscopic quantum coherence in high temperature superconductivity

Turner, Philip, Nottale, Laurent

Journal:

Physica C: Superconductivity

Year:

2015

Language:

english

File:

PDF, 1.30 MB

english, 2015

26

Scale Relativity and Fractal Space-Time (A New Approach to Unifying Relativity and Quantum Mechanics) || NONDIFFERENTIABLE GEOMETRY AND FRACTAL SPACE-TIME

Nottale, Laurent

Year:

2011

Language:

english

File:

PDF, 967 KB

english, 2011

27

Scale relativity: From quantum mechanics to chaotic dynamics

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

1995

Language:

english

File:

PDF, 730 KB

english, 1995

28

Gravitational structure formation in scale relativity

D Da Rocha, L Nottale

Journal:

Chaos, Solitons & Fractals

Year:

2003

Language:

english

File:

PDF, 923 KB

english, 2003

29

Relativité d'échelle et morphogenèse

Laurent Nottale

Journal:

Revue de Synthèse

Year:

1991

File:

PDF, 329 KB

1991

30

Specula

Charles Alunni, Éric Brian, Laurent Nottale

Journal:

Revue de Synthèse

Year:

1991

Language:

french

File:

PDF, 245 KB

french, 1991

31

Scale relativity theory and integrative systems biology: 1: Founding principles and scale laws

Charles Auffray, Laurent Nottale

Journal:

Progress in Biophysics and Molecular Biology

Year:

2008

Language:

english

File:

PDF, 439 KB

english, 2008

32

Additional Evidence and Possible Interpretation of Angular Redshift Anisotropy

Jaakkola, T., Karoji, H., Le Denmat, G., Moles, M., Nottale, L., Vigier, J.- P., Pecker, J.- C.

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

1976

Language:

english

File:

PDF, 649 KB

english, 1976

33

Macroscopic Quantum-Type Potentials in Theoretical Systems Biology

Nottale, Laurent

Journal:

Year:

2013

Language:

english

File:

PDF, 1.48 MB

english, 2013

34

Gravitational temperature decrease of the microwave background radiation towards rich clusters of galaxies

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

1984

Language:

english

File:

PDF, 255 KB

english, 1984

35

Fractal Space-Time and Microphysics (Towards a Theory of Scale Relativity) || FRACTAL DIMENSION OF A QUANTUM PATH

Year:

1993

Language:

english

File:

PDF, 894 KB

english, 1993

36

PHYSIOLOGICAL END-POINTS DURING EXERCISE IN THE HEAT

Buono, M. J., Wilmore, K. M., Heaney, J. H., Nottal, G. J., Hurst, M. D., Sopchick, T. L., Banta, G. R.

Journal:

Medicine & Science in Sports & Exercise

Year:

1992

File:

PDF, 123 KB

1992

37

THE EFFECTS OF EXERCISE, HEAT AND MICROCLIMATE COOLING ON CARDIOVASCULAR DRIFT

Heaney, J. H., Wilmore, K. M., Buono, M. J., Hurst, M. D., Nottal, G J., Sopchick, T. L., Pimental, N. A.

Journal:

Medicine & Science in Sports & Exercise

Year:

1992

File:

PDF, 132 KB

1992

38

A NewAb InitioApproach to the Development of High Temperature Superconducting Materials

Turner, Philip, Nottale, Laurent

Journal:

Journal of Superconductivity and Novel Magnetism

Year:

2016

Language:

english

File:

PDF, 817 KB

english, 2016

39

Erratum to: Progress in integrative systems biology, physiology and medicine: towards a scale-relative biology

Auffray, Charles, Noble, Denis, Nottale, Laurent, Turner, Philip

Journal:

The European Physical Journal A / Hadrons and Nuclei

Year:

2020

File:

PDF, 180 KB

2020

40

Scale-relativistic cosmology

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

2003

Language:

english

File:

PDF, 328 KB

english, 2003

41

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

Journal:

Chaos, Solitons & Fractals

Year:

1998

Language:

english

File:

PDF, 396 KB

english, 1998

42

Scale relativity and quantization of planet obliquities

Journal:

Chaos, Solitons & Fractals

Year:

1998

Language:

english

File:

PDF, 312 KB

english, 1998

43

Scale relativity and Schrödinger's equation

Journal:

Chaos, Solitons & Fractals

Year:

1998

Language:

english

File:

PDF, 545 KB

english, 1998

44

The scale-relativity program

Journal:

Chaos, Solitons & Fractals

Year:

1999

Language:

english

File:

PDF, 763 KB

english, 1999

45

Relativité d'échelle structure de la théorie

Laurent Nottale

Journal:

Revue de Synthèse

Year:

1991

File:

PDF, 107 KB

1991

46

Possible implications of the Rubin-Ford effect

KAROJI, H., NOTTALE, L.

Journal:

Year:

1976

File:

PDF, 340 KB

1976

47

Continuous increase of Hubble modulus behind clusters of galaxies

NOTTALE, L., VIGIER, J. P.

Journal:

Year:

1977

File:

PDF, 358 KB

1977

48

Is 3C324 the first gravitationally lensed giant galaxy?

Fèvre, O. Le, Hammer, F., Nottale, L., Mathez, G.

Journal:

Year:

1987

File:

PDF, 272 KB

1987

49

[AIP FRONTIERS OF FUNDAMENTAL PHYSICS: Eighth International Symposium FFP8 - Madrid (Spain) (17-19 October 2006)] AIP Conference Proceedings - Foundation of quantum mechanics from the principle of relativity

Nottale, Laurent

Year:

2007

Language:

english

File:

PDF, 790 KB

english, 2007

50

L'arbre de la vie a-t-il une structure fractale?: C. R. Acad. Sci. Pans, tome 328, série IIa, 1999, pp. 717–726

Jean Chaline, Laurent Nottale, Pierre Grou

Journal:

Comptes Rendus de l'Académie des Sciences - Series IIA - Earth and Planetary Science

Year:

1999

Language:

french

File:

PDF, 267 KB

french, 1999