Publication

Implications Of Scale Relativity In Gravitational And Electromagnetic Field Theory

Maria-Alexandra Paun
2010
Journal Articles

Abstract

A non-differentiable mechanical model (an alternative to Nottale's Scale Relativity Theory) considering that the particles movements takes place on Peano fractal curves is built. A Navier-Stokes type equation with an imaginary viscosity coefficient for a complex speed field, a Schrodinger-type equation and a hydrodynamic version of the non-differentiable mechanical model are obtained. The one body problem and the red-shift quantization in binary galaxies are investigated as an application.

Official source

https://infoscience.epfl.ch/entities/publication/7b963167-9944-4fb4-886c-32efd3d12f1d

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Maria-Alexandra Paun
2010
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/7b963167-9944-4fb4-886c-32efd3d12f1d

About this result

Related concepts (32)

Theory of relativity

The theory of relativity usually encompasses two interrelated physics theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and 1915, respectively. Special relativity applies to all physical phenomena in the absence of gravity. General relativity explains the law of gravitation and its relation to the forces of nature. It applies to the cosmological and astrophysical realm, including astronomy.

Electromagnetic field

An electromagnetic field (also EM field or EMF) is a classical (i.e. non-quantum) field produced by moving electric charges. It is the field described by classical electrodynamics (a classical field theory) and is the classical counterpart to the quantized electromagnetic field tensor in quantum electrodynamics (a quantum field theory). The electromagnetic field propagates at the speed of light (in fact, this field can be identified as light) and interacts with charges and currents.

Fractal curve

A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal. In general, fractal curves are nowhere rectifiable curves — that is, they do not have finite length — and every subarc longer than a single point has infinite length. A famous example is the boundary of the Mandelbrot set. Fractal curves and fractal patterns are widespread, in nature, found in such places as broccoli, snowflakes, feet of geckos, frost crystals, and lightning bolts.

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