In the first part of this book, the author synthesizes the main results and formulas of physics–Albert Einstein’s, with general relativity, gravitationalwaves involving elastic deformable space-time, quantum field theory, Heisenberg’s principle, and Casimir’s force implying that a vacuum is notnothingness. In the second part, based on these scientific facts, the author re-studies the fundamental equation of general relativity in a weakgravitational field by unifying it with the theory of elasticity. He considers the Ligo and Virgo interferometers as strain gauges. It follows from thisapproach that the gravitational constant G, Einstein’s constant ?, can be expressed as a function of the physical, mechanical and elastic characteristicsof space-time. He overlaps these results and in particular Young’s modulus of space-time, with publications obtained by renowned scientists. Byimposing to satisfy the set of universal constants G, c, ?, h and by taking into account the vacuum data, he proposes a new quantum expression of Gwhich is still compatible with existing serious publications. It appears that time becomes the lapse of time necessary to transmit information fromone elastic sheet of space to another. Time also becomes elastic. Thus, space becomes an elastic material, with a particle size of the order of thePlanck scale, a new deformable ether, therefore different from the non-existent luminiferous ether. Finally, in the third part, in appendices, the authordemonstrates the fundamentals of general relativity, cosmology and the theory of elasticity.