## 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 hexadimensional 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 quarks 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 linear 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)

**Comments:** 56 pages, in Spanish

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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

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