Quantum Mechanics from General Relativity: An Approximation for a Theory of Inertia

by M. Sachs

Overview

This monograph is a sequel to my earlier work, General Relativity and Matter [1], which will be referred to henceforth as GRM. The monograph, GRM, focuses on the full set of implications of General Relativity Theory, as a fundamental theory of matter in all domains, from elementary particle physics to cosmology. It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory. This monograph will focus, primarily, on the special relativistic limit of the part of this general field theory of matter that deals with inertia, in the domain where quantum mechanics has been evoked in contemporary physics as a fundamental explanation for the behavior of elementary matter. Many of the results presented in this book are based on earlier published works in the journals, which will be listed in the Bibliography. These results will be presented here in an expanded form, with more discussion on the motivation and explanation for the theoretical development of the subject than space would allow in normal journal articles, and they will be presented in one place where there would then be a more unified and coherent explication of the subject.

Product Details

ISBN-13:	9789401085731
Publisher:	Springer Netherlands
Publication date:	09/26/2011
Series:	Fundamental Theories of Physics , #18
Edition description:	Softcover reprint of the original 1st ed. 1986
Pages:	227
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 / Fundamental Outlook.- 2 / On the Comparison of the Quantum and Relativity Theories.- 2.1 Competing Concepts.- 2.2 Is the Quantum Jump Compatible with the Theory of Relativity?.- 2.3 Is the Theory of Relativity Complete as a Theory of Matter?.- 2.4 The Einstein—Podolsky—Rosen Paradox.- 2.5 The Hidden Variable Approach.- 2.6 Bell’s Inequalities and General Relativity.- 3 / Basis of a Matter Field Theory of Inertia — a Generalization of Quantum Mechanics.- 3.1. The General Mathematical Structure and Philosophical Implications.- 3.2. The Conservation of Interaction.- 3.3. Determinism.- 4 / A Covariant Field Theory of Inertia.- 4.1. On the Origin of Inertial Mass.- 4.2. The Spinor Formalism in Special Relativity.- 4.3. The Spinor Variables in General Relativity.- 4.4. The Spinor Matter Field Equations in General Relativity.- 4.5. Matter and Antimatter.- 4.6. On the Quantization of Electrical Charge from General Relativity.- 4.7. Conclusions.- 5 / The Electromagnetic Interaction.- 5.1. On the Meaning of the Electromagnetic Field Equations.- 5.2. Generalization of the Elementary Interaction Formalism.- 5.3. A Spinor Formulation of Electromagnetism.- 5.4. The Interaction Lagrangian.- 6 / Quantum Mechanics from the Matter Field Equations and Derivation of the Pauli Exclusion Principle.- 6.1. Approximations to Quantum Mechanics.- 6.2. The Pauli Exclusion Principle — a Derivation.- 6.3. The Hartree Approximation for the Matter Field Equations.- 6.4 Scattering Cross Section.- 7 / The Particle—Antiparticle Pair without Annihilation Creation.- 7.1. The Field Equations for the Particle—Antiparticle Pair.- 7.2. An Exact Bound State Solution for the Particle—Antiparticle Pair.- 7.3. The Energy and Momentum of the Bound Particle—Anti particle in its Ground State.-7.4. The Free Particle Limit and Pair Creation.- 7.5. The Continuity of Energy Values.- 7.6. Dynamical Properties of the Pair in the Ground State.- 7.7. The Compton Effect.- 7.8. Blackbody Radiation — a Derivation of Plank’s Law.- 7.9. The Anomalous Magnetic Moment of the Electron.- 8 / The Electron—Proton System.- 8.1. Linearization of the Hydrogen Field Equations.- 8.2. The Lamb Splitting.- 8.3. Deuterium and He+.- 8.4. The Lifetimes of Atomic Excited States.- 8.5. Atomic Helium.- 8.6. Electron—Proton Scattering in a Vacuum.- 8.7. Electron—Proton Scattering in a Background of Pairs.- 8.8. Summary.- 9 / Elementary Particle Physics.- 9.1. The Neutron.- 9.2. The Pion.- 9.3. On the Possible Origin of CP-Violation in Neutral Kaon Decay.- 9.4. On Time Reversal Noninvariance in Nuclear Forces — a Magnetic Resonance Experimental Test.- 9.5. Proton—Antiproton Collisions and the W±-Particle from General Relativity.- 9.6. Concluding Remarks.- Epilogue.- Appendix A / Computation of the Lamb Splitting 207.