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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

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

3

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

4

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

5

THE THEORY OF SCALE RELATIVITY

NOTTALE, LAURENT

Journal:

International Journal of Modern Physics A

Year:

1992

Language:

english

File:

PDF, 754 KB

english, 1992

6

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

7

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

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

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

10

Multiscale Integration in Scale Relativity Theory

Laurent Nottale

Journal:

Foundations of Science

Year:

2011

Language:

english

File:

PDF, 84 KB

english, 2011

11

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

12

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

13

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

14

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

15

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

16

Turbulence and scale relativity

Nottale, Laurent, Lehner, Thierry

Journal:

Physics of Fluids

Year:

2019

Language:

english

File:

PDF, 2.89 MB

english, 2019

17

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

18

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

19

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

20

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

21

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

22

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

23

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

24

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

25

Fractals and nonstandard analysis

Nottale, L., Schneider, J.

Journal:

Journal of Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 599 KB

english, 1984

26

Scale relativity and gauge invariance

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

2001

Language:

english

File:

PDF, 85 KB

english, 2001

27

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

28

Scale-relativistic cosmology

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

2003

Language:

english

File:

PDF, 328 KB

english, 2003

29

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

30

Scale relativity: From quantum mechanics to chaotic dynamics

Laurent Nottale

Journal:

Chaos, Solitons & Fractals

Year:

1995

Language:

english

File:

PDF, 730 KB

english, 1995

31

Macroscopic Quantum-Type Potentials in Theoretical Systems Biology

Nottale, Laurent

Journal:

Year:

2013

Language:

english

File:

PDF, 1.48 MB

english, 2013

32

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

33

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

34

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

35

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

36

Relativité d'échelle et morphogenèse

Laurent Nottale

Journal:

Revue de Synthèse

Year:

1991

File:

PDF, 329 KB

1991

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

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

39

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

40

Specula

Charles Alunni, Éric Brian, Laurent Nottale

Journal:

Revue de Synthèse

Year:

1991

Language:

french

File:

PDF, 245 KB

french, 1991

41

Fractal Space-Time and Microphysics (Towards a Theory of Scale Relativity) || FROM FRACTAL OBJECTS TO FRACTAL SPACES

Year:

1993

Language:

english

File:

PDF, 2.27 MB

english, 1993

42

A catalog of isolated galaxy pairs with accurate radial velocities

Chamaraux, P., Nottale, L.

Journal:

Astrophysical Bulletin

Year:

2016

Language:

english

File:

PDF, 788 KB

english, 2016

43

Statistical deprojection of galaxy pairs

Nottale, Laurent, Chamaraux, Pierre

Journal:

Astronomy and Astrophysics

Year:

2018

Language:

english

File:

PDF, 1020 KB

english, 2018

44

Continuous increase of Hubble modulus behind clusters of galaxies

NOTTALE, L., VIGIER, J. P.

Journal:

Year:

1977

File:

PDF, 358 KB

1977

45

3C324: A Probable New Gravitational Lens

Hammer, F., Le fèvre, O., Nottale, L.

Journal:

Symposium - International Astronomical Union

Year:

1987

File:

PDF, 584 KB

1987

46

New insights into the physical processes that underpin cell division and the emergence of different cellular and multicellular structures

Turner, Philip, Nottale, Laurent, Zhao, John, Pesquet, Edouard

Journal:

Progress in Biophysics and Molecular Biology

Year:

2019

Language:

english

File:

PDF, 7.98 MB

english, 2019

47

Generalized quantum potentials

Year:

2009

Language:

english

File:

PDF, 308 KB

english, 2009

48

The scale-relativity program

Journal:

Chaos, Solitons & Fractals

Year:

1999

Language:

english

File:

PDF, 763 KB

english, 1999

49

Scale relativity and Schrödinger's equation

Journal:

Chaos, Solitons & Fractals

Year:

1998

Language:

english

File:

PDF, 545 KB

english, 1998

50

Possible implications of the Rubin-Ford effect

KAROJI, H., NOTTALE, L.

Journal:

Year:

1976

File:

PDF, 340 KB

1976

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