Similarities Between Dynamics at Atomic and Cosmological Scales

  • Maricel Agop
  • Alina GavriluţEmail author
  • Gabriel Crumpei


Since the non-differentiability becomes a fundamental property of the motions space [1, 2, 3, 4], a correspondence between the interaction processes and multifractality of the motion trajectories can be established. Then, for all scale resolutions, the geodesics equations (in the form of the Schrödinger equation of fractal type) and some applications (similarities between dynamics at atomic and cosmic scales) are obtained.


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Maricel Agop
    • 1
  • Alina Gavriluţ
    • 2
    Email author
  • Gabriel Crumpei
    • 3
  1. 1.Department of PhysicsGheorghe Asachi Technical University of IaşiIaşiRomania
  2. 2.Faculty of MathematicsAlexandru Ioan Cuza University of IaşiIaşiRomania
  3. 3.Faculty of Psychology and Education SciencesAlexandru Ioan Cuza University of IaşiIaşiRomania

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