What is Space-Time Made of ? / / David Izabel.

• Superior document: Title is part of eBook package: De Gruyter DG Plus PP Package 2021 Part 2
• VerfasserIn: Izabel, David,
• Place / Publishing House: Les Ulis : : EDP Sciences, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Physical Description: 1 online resource (366 p.)

In the first part of this book, the author synthesizes the main results and formulas of physics–Albert Einstein’s, with general relativity, gravitational waves involving elastic deformable space-time, quantum field theory, Heisenberg’s principle, and Casimir’s force implying that a vacuum is not nothingness. In the second part, based on these scientific facts, the author re-studies the fundamental equation of general relativity in a weak gravitational field by unifying it with the theory of elasticity. He considers the Ligo and Virgo interferometers as strain gauges. It follows from this approach that the gravitational constant G, Einstein’s constant κ, can be expressed as a function of the physical, mechanical and elastic characteristics of space-time. He overlaps these results and in particular Young’s modulus of space-time, with publications obtained by renowned scientists. By imposing to satisfy the set of universal constants G, c, κ, ħ and by taking into account the vacuum data, he proposes a new quantum expression of G which is still compatible with existing serious publications. It appears that time becomes the lapse of time necessary to transmit information from one elastic sheet of space to another. Time also becomes elastic. Thus, space becomes an elastic material, with a particle size of the order of the Planck scale, a new deformable ether, therefore different from the non-existent luminiferous ether. Finally, in the third part, in appendices, the author demonstrates the fundamentals of general relativity, cosmology and the theory of elasticity

Table of Contents

Frontmatter -- Preamble -- Contents -- Symbology -- Introduction -- Chapter 1 Where is Physics Today? – Synthetic Overview of the State of the Art of Physics Today -- Chapter 2 First Ask the Right Question -- Chapter 3 A Strange Analogy between S. Timoshenko’s Beam Theory and General Relativity -- Chapter 4 The Stress Energy Tensor in Theory of General Relativity and the Stress Tensor in Elasticity Theory are Similar -- Chapter 5 Relationship between the Metric Tensor and the Strain Tensor in Low Gravitational Field -- Chapter 6 Relationship between the Stress Tensor and the Strain Tensor in Elasticity (K) and between the Curvature and the Stress Energy Tensor (κ) in General Relativity in Weak Gravitational Fields -- Chapter 7 Can Space-be Considered as an Elastic Medium? New Ether? -- Chapter 8 And if We Reconstructed the Formula of Einstein’s Gravitational Field by No Longer Considering the Temporal Components of the Tensors, but the Spatial Components -- Chapter 9 Re-interpretation of the Results of the Theoretical Calculation of General Relativity on Gravitational Waves in Weak Field from the Windows of Elasticity Theory -- Chapter 10 Determination of Poisson’s Ratio of the Elastic Space Material -- Chapter 11 Dynamic Study of the elastic Space Strains in an Arm of an Interferometer -- Chapter 12 Dynamic Study of Simultaneous Elastic Space Strains in the 2 Arms of an Interferometer -- Chapter 13 Study of an Elastic Space Cylinder Twisted by the Coalescence of Two Black Holes -- Chapter 14 New Mechanical Expression of Einstein’s Constant κ -- Chapter 15 Vacuum Data -- Chapter 16 Calibrating the New Mechanical Expression of κ with the Vacuum Data -- Chapter 17 Let’s Go Back to the Time Components Based on the New Results -- Chapter 18 Analogy of Mohr’s Circle with Graviton Spin -- Chapter 19 What if We Gave Up the Constant Character of G? -- Chapter 20 How to Test the New Theory? -- Chapter 21 Other Points in Link with the Strength of Material -- Chapter 22 Conclusions -- Appendix A Chronological Order of Progress of the Author’s Reflection and Related Discoveries -- Appendix B Measurements of Space-Time Material Deformations (Strains and Angles) -- Appendix C History of Physics and Related Formulas -- Appendix D Calculating the Scalar Curvature R of a Sphere -- Appendix E Application of Einstein’s Equation in Cosmology – Demonstration of Friedmann–Lemaitre Equations -- Appendix F Can-We Understand a Black Hole from the Strength of the Materials? -- Appendix G Proof of the Relation Between Speed c and the Shear Modulus u of the Elastic Medium in the Case of Gravitational Wave -- Appendix H Proof of Curvature in Beam Theory -- Appendix I Proof of Quantum Value of Young’s Modulus of Space Space-Time Obtained in Tables 16.1 and 16.2 -- Appendix J Young’s Modulus of the Space Time from the Energy Density of the Gravitational Wave -- References from the Author and from the Article Published at PRAMANA on August 13, 2020 -- Terms and Definitions -- Definition of the Main General Relativity Terms (Source e-Lecture of General Relativity Initiation of Richard Taillet Teacher-Researcher at Savoie Mont Blanc University) -- About the Author -- Summary