Multifractality of time and space, covariant derivatives and gauge invariance

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 in corpus (9)

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• The Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations
• The Theory of Fractal Time: Field Equations (the Theory of Almost Inertial Systems and Modified Lorentz Transformations)
• Why We Can Not Walk To and Fro in Time as Do it in Space? (Why the Arrow of Time is Exists?)
• Do Gravitational and Electromagnetic Fields Have Rest Masses in the Fractal Universe?
• Is the Time a Dimension of an Alien Universe? (this hypothesis gives an additional redshift)
• 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)
• How Much Energy Have Real Fields Time and Space in Multifractal Universe?