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

Contents......Page vii
Preface......Page xi
1. Fundamental Outlook......Page p1
2.1. Competing Concepts......Page p7
2.2. Is Quantum Jump Compatible w. Th. of Relativity?......Page p16
2.3. Is Th. of Relativity Complete as a Theory of Matter?......Page p19
2.4. The Einstein-Podolsky-Rosen Paradox......Page p22
2.4.1. Bohr\'s Reply to E-P-R......Page p26
2.5. The Hidden Variable Approach......Page p27
2.6. Bell\'s Inequalities & General Relativity......Page p32
2.6.1. The State Vector & Bell\'s Inequalities......Page p33
3. Matter Field Theory of Inertia: a Generalization of QM......Page p39
3.1.1. Symmetry Group from Axiom 1, Fundamental Field Variables......Page p42
3.1.2. The Generalized Mach Principle......Page p46
3.2. The Conservation of Interaction......Page p47
3.3. Determinism......Page p51
4.1. On the Origin of Inertial Mass......Page p53
4.2. Spinor Formalism in Special Relativity......Page p56
4.3. Spinor Variables in General Relativity......Page p58
4.4. Spinor Matter Field Equations in GR......Page p61
4.4.1. Gauge Invariance......Page p62
4.4.2. Electromagnetic Coupling......Page p65
4.5.1. Proof of Force Symmetry of Matter & Antimatter......Page p67
4.6. On the Quantization of Electrical Charge from GR......Page p68
4.7. Conclusions......Page p72
5.1. On the Meaning of the Electromagnetic Field Eqns......Page p74
5.2. Generaliz. Elementary Interaction Formalism......Page p76
5.3. A Spinor Formulation of Electromagnetism......Page p78
5.3.1. Invariants and Conservation Equations......Page p80
5.4. The Interaction Lagrangian......Page p83
5.4.1. The Electromagnetic Four-Potential......Page p84
6. QM from Matter Field Eqns & Deriv. of Pauli Exclusion Principle......Page p88
6.1. Approximations to Quantum Mechanics......Page p89
6.1.1. The Free Field Limit......Page p90
6.1.2. Coupling to an External Potential......Page p92
6.2. Pauli Exclusion Pr, a Derivation......Page p93
6.2.1. Sufficiency of 3 Conditions for Proof of Pauli Pr.......Page p98
6.2.2. Fermi-Dirac Statistics, Nonrel. Approx. for Psi......Page p99
6.3. The Hartree Approximation for the Matter Field Eqns......Page p101
6.3.1. Another Approximation for the Many-Electron Atom......Page p103
6.4. Scattering Cross Section......Page p104
7. Particle-Antiparticle Pair w/out Annihilation Creation......Page p108
7.1. Field Equations for the Particle-Antiparticle Pair......Page p109
7.2. An Exact Bound State Solution for Ptcl-Antiptcl Pair......Page p112
7.3. Energy & Momentum of Bound Pair in its Ground State......Page p115
7.4. The Free Particle Limit and Pair Creation......Page p118
7.5. The Continuity of Energy Values......Page p119
7.5.1. Rejection of Photon Model in \'Pair Annihilation\'......Page p120
7.6. Dynamical Properties of the Pair in the Ground State......Page p121
7.7. The Compton Effect......Page p124
7.8. Blackbody Radiation a Derivation of Plank\'s Law......Page p125
7.9. Anomalous Magnetic Moment of the Electron......Page p130
8. The Electron-Proton System......Page p134
8.1. Linearization of the Hydrogen Field Equations......Page p135
8.2. The Lamb Splitting......Page p139
8.3. Deuterium and He +......Page p145
8.4. Lifetimes of Atomic Excited States......Page p146
8.6. Electron-Proton Scattering in a Vacuum......Page p150
8.7. Electron-Proton Scattering in a Background of Pairs......Page p155
8.7.1. Screening Effect of Background Pairs on the e-p Interaction......Page p156
8.7.2. The Generalized Electromagnetic Interaction......Page p162
8.8. Summary......Page p164
9. Elementary Particle Physics......Page p167
9.1. The Neutron......Page p168
9.1.1. Polarization of Pair Participation, Neutron State......Page p169
9.1.2. The Binding Energy of the Neutron......Page p170
9.1.3. The Magnetic Moment of the Neutron......Page p171
9.2. The Pion......Page p173
9.2.1. The Mass Ratio of Neutral to Charged Pions......Page p174
9.2.2. Ratio of Neutral to Charged Pion Lifetimes......Page p177
9.3. Possible Origin of CP-Violation in Neutral Kaon Decay......Page p180
9.3.2. Irreducible Spinor Matter Field Eqns, CP-Violation......Page p182
9.3.3. Generalized Electromagnetic Interaction......Page p185
9.3.4. CP-Violation in Kaon Decay......Page p186
9.3.5. Estimates of CP-Violation in K Decay......Page p188
9.4. Time Reversal Noninvariance in Nuclear Forces--Magnetic Resonance Experimental Test......Page p190
9.4.1. A Possible Source of T-Violation in Nuclear Forces......Page p192
9.5. Proton-Antiproton Collisions, W-Particle from GR......Page p193
9.6. Concluding Remarks......Page p199
E. Epilogue......Page p200
App.A. Computation of the Lamb Splitting......Page p207
App.B. Evaluation of the Scattering Correction Factor e(bq)......Page p215
B. Bibliography......Page p218
I. Index......Page p222
series......Page ii