Discrete Space-Time by Means of the Weyl-Dirac Theory

• Authors: M. Agop , L. Chicos , M. Gîrţu
• Languages of publication: EN

Abstracts

EN

A connection between the Weyl-Dirac theory and scale relativity theory through the hydrodynamic models (relativistic and non-relativistic approaches) is established. In such conjecture, considering that the motions of the microparticles take place on continuous but non-differentiable curves i.e. on fractals, a Weyl-Dirac type equation was found. Some correspondences with known hydrodynamic models, particularly Białynicki-Birula's approach, are analyzed. All these results reflect the fractal structure of the space-time (a concept in agreement with the new ideas on the space-time)

Keywords

EN

04.20.Cv; 05.45.Df

Discipline

• 05.45.Df: Fractals(see also 47.53.+n Fractals in fluid dynamics; 61.43.Hv Fractals; macroscopic aggregates in structure of solids)
• 04.20.Cv: Fundamental problems and general formalism

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 1
• Pages: 3-12

Dates

published

2007-07

received

2007-05-23

(unknown)

2007-06-19

Contributors

author

M. Agop

• Department of Physics, University of Athens, Athens 15771, Greece
• Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron no. 64, Iasi - 700029, Romania

author

L. Chicos

• Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron no. 64, Iasi - 700029, Romania

author

M. Gîrţu

• Department of Physics, Technical "Gh. Asachi" University, Blvd. Mangeron no. 64, Iasi - 700029, Romania

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Identifiers

DOI

10.12693/APhysPolA.112.3