Preface |
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xiii | |
Acknowledgments |
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xv | |
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1 | (4) |
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1.1 Background of Present Approach |
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2 | (1) |
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1.2 Contents of Present Treatise |
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2 | (3) |
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5 | (4) |
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2.1 Electron Theory by Dirac |
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5 | (1) |
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6 | (1) |
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2.3 Theory of the Photon with a Rest Mass |
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6 | (1) |
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2.4 Nonzero Electric Conductivity in the Vacuum |
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7 | (1) |
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2.5 Total Time Derivative Formulation |
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7 | (2) |
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3 Basis of Present Theory |
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9 | (12) |
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3.1 Deduction of a Space-Charge Current Density |
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9 | (2) |
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3.2 The Extended Field Equations |
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11 | (3) |
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3.3 The Momentum and Energy Equations |
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14 | (2) |
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16 | (2) |
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17 | (1) |
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3.4.2 Time-Dependent States |
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18 | (1) |
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18 | (1) |
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19 | (1) |
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3.7 Characteristic New Features of Present Theory |
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19 | (2) |
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4 The Way to a Revised Theory |
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21 | (4) |
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4.1 Difficulties in Conventional Theory |
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21 | (2) |
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4.2 Potentialities of Present Theory |
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23 | (2) |
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5 A Review of New Aspects and Applications |
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25 | (4) |
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25 | (1) |
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5.2 Time-Dependent Phenomena |
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26 | (3) |
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6 General Features of Steady Axisymmetric States |
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29 | (12) |
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6.1 The Limits of Conventional Theory |
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29 | (1) |
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6.2 General Axisymmetric Field Equations |
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30 | (1) |
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6.3 Particle-Shaped States |
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31 | (6) |
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6.3.1 The Radial Part of the Generating Function |
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33 | (2) |
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6.3.2 The Polar Part of the Generating Function |
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35 | (1) |
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6.3.3 Particle-Shaped Matter and Antimatter Models |
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36 | (1) |
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6.4 Quantum Conditions of Particle-Shaped States |
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37 | (2) |
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6.4.1 The Angular Momentum |
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37 | (1) |
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6.4.2 The Magnetic Moment |
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37 | (1) |
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38 | (1) |
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39 | (2) |
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6.5.1 The Net Electric Charge |
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39 | (1) |
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40 | (1) |
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6.5.3 Comparison with Quantum Mechanical String Model |
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40 | (1) |
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7 A Model of the Electron |
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41 | (26) |
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7.1 The Form of the Generating Function |
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41 | (1) |
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7.2 Integrated Field Quantities |
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42 | (2) |
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7.3 A Revised Renormalisation Procedure |
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44 | (3) |
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7.3.1 Combined Magnetic Moment and Mass |
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45 | (1) |
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7.3.2 Separated Magnetic Moment and Mass |
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46 | (1) |
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47 | (3) |
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7.5 The Reduced Forms of the Quantum Conditions |
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50 | (1) |
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7.6 Earlier Analysis on a Minimized Electronic Charge |
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51 | (2) |
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7.7 Refined Self-Consistent Analysis of the Plateau Region |
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53 | (6) |
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7.7.1 Basic Factors of the Numerical Analysis |
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54 | (1) |
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7.7.2 A Numerical Iteration Scheme |
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54 | (1) |
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7.7.3 Results on the Electronic Charge |
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55 | (3) |
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7.7.4 Results on the Electron Mass and Magnetic Moment |
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58 | (1) |
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7.8 Radial Force Balance of the Electron Model |
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59 | (5) |
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7.8.1 Simple Example of Electromagnetic Confinement |
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59 | (2) |
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7.8.2 The Radial Force of the Electron Model |
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61 | (3) |
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7.9 The Equivalent Centrifugal Force |
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64 | (1) |
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7.10 Tests of the Plateau Level |
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65 | (2) |
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8 A Model of the Neutrino |
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67 | (6) |
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8.1 Basic Relations with a Convergent Generating Function |
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67 | (1) |
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8.2 Basic Relations with a Divergent Generating Function |
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68 | (2) |
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8.2.1 Conditions for a Small Effective Radius |
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69 | (1) |
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8.2.2 Quantization of the Angular Momentum |
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69 | (1) |
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8.3 Mass and Effective Radius |
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70 | (1) |
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8.4 The Integrated Force Balance |
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71 | (1) |
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71 | (2) |
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9 Limitations of Conventional Wave Concepts |
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73 | (6) |
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9.1 Conventional Equations in the Vacuum State |
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73 | (1) |
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9.2 Requirements on a Photon Model |
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74 | (1) |
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9.3 Deductions in Various Types of Geometry |
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74 | (4) |
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74 | (1) |
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9.3.2 Cylindrical Geometry |
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75 | (1) |
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76 | (2) |
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9.4 Summary on the Conventional Wave Concepts |
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78 | (1) |
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79 | (6) |
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79 | (2) |
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10.2 Total Reflection at a Vacuum Interface |
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81 | (4) |
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85 | (30) |
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11.1 Normal Axisymmetric Space-Charge Modes |
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86 | (4) |
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11.2 Axisymmetric Wave Packets |
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90 | (2) |
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11.3 Spatially Integrated Field Quantities |
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92 | (18) |
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11.3.1 Charge and Magnetic Moment |
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92 | (1) |
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93 | (1) |
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94 | (1) |
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11.3.4 Effective Radius in Convergent Case |
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95 | (1) |
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11.3.5 Effective Radius in Divergent Case |
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96 | (2) |
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11.3.6 The Nonzero Rest Mass |
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98 | (2) |
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11.3.7 Photon Model with Net Electric Charge |
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100 | (4) |
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11.3.8 Electron-Positron Pair Formation |
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104 | (2) |
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11.3.9 The Individual Photon in Two-Slit Experiments |
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106 | (4) |
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110 | (5) |
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11.4.1 The Elementary Mode |
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111 | (1) |
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11.4.2 The Energy and Momentum Densities |
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112 | (1) |
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11.4.3 Net Charge and Magnetic Moment |
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112 | (1) |
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11.4.4 Quantum Conditions |
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113 | (1) |
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11.4.5 Special Features of Screw-Shaped Mode |
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114 | (1) |
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115 | (8) |
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115 | (1) |
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12.2 A Linearly Polarized Beam Model |
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116 | (7) |
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12.2.1 Flat-Shape Beam Geometry |
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117 | (1) |
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12.2.2 Two Special Flat-Shaped Cases |
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118 | (2) |
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12.2.3 The Plane Core Wave |
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120 | (1) |
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12.2.4 Simplified Analysis on the Spin of a Circular Beam |
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120 | (3) |
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123 | (4) |
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123 | (3) |
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13.2 Fundamental New Consequences of Present Theory |
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126 | (1) |
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127 | (10) |
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A.1 The Conventional Law of Gravitation |
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127 | (3) |
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127 | (1) |
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A.1.2 Point Mass Formation |
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128 | (1) |
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A.1.3 The Renormalised Point Mass |
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129 | (1) |
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A.2 A Black Hole of Schwarzschild Type |
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130 | (2) |
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A.2.1 The Inward Directed Gravitational Pressure |
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130 | (1) |
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A.2.2 Gravitational Collapse of the Nuclear Binding Forces |
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131 | (1) |
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A.3 Speculations about a Generalized Law of Gravitation |
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132 | (5) |
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133 | (1) |
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A.3.2 An Extended Law of Gravitation |
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133 | (1) |
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A.3.3 A Possible Role of Antimatter |
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134 | (3) |
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137 | (4) |
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137 | (1) |
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B.2 Superluminosity from Present Theory |
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138 | (3) |
References |
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141 | (6) |
About the Author |
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147 | (2) |
Author Index |
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149 | (2) |
Subject Index |
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151 | |