Abstract
The detection of gravitational waves substantiates the undeniable achievement of general relativity theory by increasing its theoretical and experimental accuracy. One century after predicting it has set again Einstein's works at the front of research. Absence of quantum particle associated to gravitation emphasizes that general relativity theory remains not included in the standard model of physics. Then Einstein’s disagreement about it incompleteness regarding wave-particle and matter-field becomes actualized. In order to circumvent these difficulties he privileged field, rather than matter for universe description in his program. In consequence a scalar field e(r0,t0) propagating at speed of light c yields matter from standing waves moving at speed strictly inferior to c, and interactions from progressive waves. Electromagnetic interactions derive from local variations of frequencies, and gravitation from local variations of speed of light. A space-like amplitude functions u0(k0r0) supplements fundamental time-like functions of classical and quantum mechanics. It tends toward Dirac’s distribution Delta (r0) in geometrical optics approximation conditions, when frequencies are infinitely high, and then hidden.
 
 More generally, it allows theoretical economies by deriving energy-momentum conservation laws, and least action law. Quantum domain corresponds to wave optics approximation conditions. Variations of frequencies give rise to an adiabatic constant, formally identical with Planck's constant, leading to first quantification for electromagnetic interactions and to second quantification for matter.
Highlights
The last and most recent important discovery in physics was the first direct experimental detection of gravitational waves in 2016, one century after their prediction by Einstein's equations of General Relativity
We restrict to summarize some equations for the properties of the c-scalar field, according to Einstein’s program, previously published, (Elbaz, 2010, 2012, 2013, 2014), in order to show how they are related to some main equations of classical and quantum mechanics, otherwise widely documented
The close physical relation between electromagnetic interaction and quantification, both resulting from local variations of frequencies, was explicit from the beginning, when Planck introduced his constant as a link between energies of oscillations of electrons and light radiations, and in exchange of electromagnetic energies between localized matter and extended wave light
Summary
The last and most recent important discovery in physics was the first direct experimental detection of gravitational waves in 2016, one century after their prediction by Einstein's equations of General Relativity. We are incited to reexamine reasons of his disagreement with the majority of physicists of his time: they most largely admitted the quantum probabilistic approach, owing to the numerous successful results obtained from theory, experiment, and associated technology which led to the Standard Model of Particles. It gathers almost the whole present knowledge upon theoretical physics, except gravitation which has still resisted to its quantification. A scalar field ε (r, t) propagating at speed of light forms a consistent system for universe description
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