Multifractality of time and space, covariant derivatives and gauge invariance

2000/02/01 by L. Ya. Kobelev, L Yu Kobelev, Kobelev, L. Ya. · 4 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0002005

arxiv created 2000/02/01 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A possibility to represent the standard model of fundamental particles covariant derivatives by means of approximate generalized fractional Riemann-Liouville derivatives of multifractal time and space model is shown.

Cited by

• The Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations
• Do Gravitational and Electromagnetic Fields Have Rest Masses in the Fractal Universe?
• About Small Corrections to General Relativity: Gravitational Acceleration Depands of the Accelereted Bodies Masses
• Newton Equations May be Treated as Diffusion Equations in the Real Time and Space Fields of Multifractal Universe (Masses are Diffusion Coefficients of Diffusion-like Equations)

Related

• What Dimensions Do the Time and Space Have: Integer or Fractional?
• Generalized Riemann - Liouville fractional derivatives for multifractal sets
• Maxwell equation, Shroedinger equation, Dirac equation, Einstein equation defined on the multifractal sets of the time and the space
• Newton Equations May be Treated as Diffusion Equations in the Real Time and Space Fields of Multifractal Universe (Masses are Diffusion Coefficients of Diffusion-like Equations)
• The Theory of Fractal Time: Field Equations (the Theory of Almost Inertial Systems and Modified Lorentz Transformations)