## Matter as Gravitational Waves. (On the Nature of Electron)

**Authors:** Ernesto Lopez Gonzalez

Background: At present in physics there are 2 large and seemingly incompatible theories: the theory of General Relativity and Quantum Mechanics. A model to derive Quantum Mechanics from General Relativity is presented here.Results: A six dimensional model with the following characteristics is proposed: 1 temporal dimension and 5 spatial dimensions (3 extended spatial dimensions and a plane of compacted dimensions; where elementary particles like partons and electrons move at the speed of light in elliptical paths with a perimeter equal to a half Compton wavelength). The charge / mass ratio and the intrinsic magnetic momentum of the electron solely from its mass are estimated.The gravitational wave equations are solved for the particular case of a flat three-dimensional space. The boundary conditions are set assuming that the waves are guided by the curvature of compacted dimensions. In particular, exact solutions are obtained for the case of a motionless particle-pulsation, uniform l
inear motion particle-pulsation and the relativistic hydrogen atom. These solutions justify the postulates of quantum mechanics and provide numerical solutions compatible with the experimental data. Finally a possible origin of inertia is proposed.Conclusions: We should review the dual wave-particle concept in favour of a solely gravitational wave nature. It is remarkable to note that the same conclusions can be drawn with other configurations of compacted dimensions (whether it be in number, size or topology).
Note to the 6th version: It is a translate to english of the 5th version with minor changes

**Comments:** 55 Pages.

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### Submission history

[v1] 2012-10-29 14:54:12

[v2] 2012-11-05 02:32:58

[v3] 2012-11-10 17:23:24

[v4] 2013-03-19 06:07:22

[v5] 2015-01-02 07:12:46

[v6] 2016-03-18 15:14:48

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