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

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...

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Main Author: Sachs, M.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1986, 1986
Edition:1st ed. 1986
Series:Fundamental Theories of Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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
  • 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