TITLE:
Holographic-Type Gravitation via Non-Differentiability in Weyl-Dirac Theory
AUTHORS:
Mihai Pricop, Mugur Răut, Zoltan Borsos, Anca Baciu, Maricel Agop
KEYWORDS:
Holographic Principle; Non-Differentiability; General Relativity
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.8A,
August
27,
2013
ABSTRACT: In the Weyl-Dirac non-relativistic
hydrodynamics approach, the non-linear interaction between sub-quantum level
and particle gives non-differentiable properties to the space. Therefore, the
movement trajectories are fractal curves, the dynamics are described by a
complex speed field and the equation of motion is identified with the geodesics
of a fractal space which corresponds to a Schrodinger non-linear equation. The
real part of the complex speed field assures, through a quantification
condition, the compatibility between the Weyl-Dirac non-elativistic
hydrodynamic model and the wave mechanics. The mean value of the fractal speed
potential, identifies with the Shanon informational energy, specifies, by a maximization
principle, that the sub-quantum level “stores” and “transfers” the
informational energy in the form of force. The wave-particle duality is
achieved by means of cnoidal oscillations modes of the state density, the
dominance of one of the characters, wave or particle, being put into
correspondence with two flow regimes (non-quasi-autonomous and quasi-autonomous) of the Weyl-Dirac fluid. All these
show a direct connection between the fractal structure of space and holographic
principle.