The scope of this monograph is to show that our classical, quantum and cosmological knowledge of antimatter is at its beginning with much yet to be discovered, and that a commitment to antimatter by experimentalists will be invaluable to antimatter science. This is also the first book presenting the isodual theory of antimatter. It is aimed at scientists and researchers in theoretical physics.
Author(s): Ruggero Maria Santilli
Edition: 1
Year: 2006
Language: English
Pages: 345
Contents......Page 7
Preface......Page 13
Acknowledgments......Page 15
1.1.1 Needs for a Classical Theory of Antimatter......Page 17
1.1.2 The Mathematical Origin of the Imbalance......Page 18
1.1.3 Basic Assumptions of Isodual Mathematics......Page 19
1.2.1 Consistency and Limitations of Special Relativity and Quantum Mechanics......Page 21
1.2.2 Outline of the Monograph......Page 24
1.2.3 Literature on Isoduality......Page 25
1.3.1 Foundations of the Imbalance......Page 27
1.3.2 Limitations of Special Relativity and Quantum Mechanics......Page 30
1.3.3 Limitations of Conventional Mathematical and Physical Methods......Page 38
1.3.4 Inapplicability of the Galilean and Special Relativities for Matter and Antimatter Dynamical Systems with Resistive Forces......Page 40
1.3.5 Inapplicability of Special Relativity for the Propagation of Light within Physical Media of Matter or Antimatter......Page 41
1.3.6 Inapplicability of the Galilean and Poincaré symmetries for Interior Dynamical Systems of Matter or Antimatter......Page 44
1.3.7 Lack of Exact Character of Special Relativity and Quantum Mechanics for the Structure of Hadrons, Nuclei and Stars......Page 46
1.4.1 The Negative Impact of General Relativity on Antimatter......Page 48
1.4.2 Catastrophic Inconsistencies of General Relativity due to Lack of Sources......Page 49
1.4.3 Catastrophic Inconsistencies of General Relativity due to Curvature......Page 55
1.5.1 Foreword......Page 61
1.5.2 Catastrophic Inconsistencies of Noncanonical Theories......Page 62
1.5.3 Catastrophic Inconsistencies of Nonunitary Theories......Page 73
1.5.4 The Birth of Isomathematics, Genomathematics and their Isoduals......Page 83
1.5.5 Hadronic Mechanics......Page 87
References......Page 95
2.1.1 Isodual Unit, Isodual Numbers and Isodual Fields......Page 101
2.1.2 Isodual Functional Analysis......Page 105
2.1.4 Lie-Santilli Isodual Theory......Page 106
2.1.5 Isodual Euclidean Geometry......Page 107
2.1.6 Isodual Minkowskian Geometry......Page 109
2.1.7 Isodual Riemannian Geometry......Page 110
2.2.1 Basic Assumptions......Page 112
2.2.2 Need for Isoduality to Represent All Time Directions......Page 113
2.2.3 Experimental Verification of the Isodual Theory of Antimatter in Classical Physics......Page 114
2.2.4 Isodual Newtonian Mechanics......Page 116
2.2.6 Isodual Hamiltonian Mechanics......Page 118
2.2.7 Isodual Galilean Relativity......Page 120
2.2.8 Isodual Special Relativity......Page 123
2.2.9 Inequivalence of Isodual and Spacetime Inversions......Page 126
2.2.10 Isodual Thermodynamics of Antimatter......Page 128
2.2.11 Isodual General Relativity......Page 129
2.3.1 Basic Assumptions......Page 130
2.3.3 Isodual Hilbert Spaces......Page 131
2.3.4 Isoselfduality of Minkowski's Line Elements and Hilbert's Inner Products......Page 133
2.3.6 Isoselfdual Re-Interpretation of Dirac's Equation......Page 134
2.3.7 Equivalence of Isoduality and charge conjugation......Page 138
2.3.9 Elementary Particles and their Isoduals......Page 141
2.3.10 Photons and their Isoduals......Page 143
2.3.11 Electrons and their Isoduals......Page 144
2.3.13 The Hydrogen Atom and its Isodual......Page 145
2.3.14 Isoselfdual Bound States......Page 147
2.3.15 Resolution of the Inconsistencies of Negative Energies......Page 149
References......Page 151
3.1.1 The Forgotten Legacy of Newton, Lagrange and Hamilton......Page 153
3.1.2 Structural Differences between Exterior and Interior Dynamical Systems of Particles and of Antiparticles......Page 155
3.1.3 Closed Non-Hamiltonian Systems of Extended Particles and Extended Antiparticles......Page 158
3.1.5 Basic Conditions to be verified by the Applicable Mathematics......Page 162
3.1.6 Iso-, Geno-, and Hyper-Formulations for Particles and their Isoduals for Antiparticles......Page 166
3.2.1 Isounits and their Isoduals......Page 167
3.2.2 Isonumbers, Isofields and their Isoduals......Page 169
3.2.3 Isofunctional Analysis, Isodifferential Calculus and their Isoduals......Page 171
3.2.4 Isospaces, Isogeometries, Isotopologies and their Isoduals......Page 172
3.2.5 Lie-Santilli Isotheory and its Isodual......Page 175
3.3.1 Newton-Santilli Isomechanics and its Isodual......Page 177
3.3.2 Iso-Action Principle and its Isodual......Page 182
3.3.3 Iso-Hamiltonian Mechanics and its Isodual......Page 183
3.4.1 Technical Difficulties in Quantizing Nonpotential Forces......Page 185
3.4.2 Naive Isoquantization and its Isodual......Page 187
3.4.3 Iso-Hilbert Spaces and their Isoduals......Page 189
3.4.4 Isolinearity, Isolocality and Isounitarity......Page 190
3.4.5 Iso-Schrödinger and Iso-Heisenberg Equations and their Isoduals......Page 191
3.4.6 Simple Construction of Isotheories......Page 193
3.4.7 Invariance of Isotopic Theories......Page 194
3.5.1 Introduction......Page 195
3.5.2 Iso-Minkowskian Spaces and their Isoduals......Page 199
3.5.3 Poincaré-Santilli Isosymmetry and its Isodual......Page 201
3.5.4 Isorelativity and its Isodual......Page 207
3.5.5 Isorelativistic Hadronic Mechanics and its Isoduals......Page 210
3.5.6 Isogravitation and its Isodual......Page 214
3.6.1 The Scientific Imbalance Caused by Irreversibility......Page 218
3.6.2 The Forgotten Legacy of Lagrange and Hamilton......Page 219
3.6.3 Early Representations of Irreversible Systems......Page 220
3.6.4 Elements of Genomathematics......Page 224
3.6.5 Lie-Santilli Genotheory and its Isodual......Page 227
3.6.6 Geno-Newtonian Mechanics and its Isodual......Page 229
3.6.7 Lie-Admissible Classical Genomechanics and its Isodual......Page 232
3.6.8 Lie-Admissible Branch of Hadronic Mechanics and its Isodual......Page 235
3.6.9 Simple Construction of Lie-Admissible Theories......Page 237
3.6.10 Invariance of Lie-Admissible Theories......Page 238
3.6.11 Genorelativity and its Isodual......Page 239
3.6.12 Lie-Admissible Hypertheories and their Isoduals......Page 240
3.7.1 Experimental Verifications of Lie-Isotopic Theories......Page 244
3.7.2 Experimental Verifications of Lie-Admissible Theories......Page 249
3.7.3 Industrial Applications to New Clean Energies and Fuels......Page 251
References......Page 256
4.1.1 Introduction......Page 268
4.1.2 Newtonian and Euclidean Prediction of Antigravity......Page 270
4.1.3 Minkowskian and Riemannian Predictions of Antigravity......Page 272
4.1.4 Prediction of Antigravity from Isodual Einstein's Gravitation......Page 273
4.1.5 Identification of Gravitation and Electromagnetism......Page 275
4.1.6 Prediction of Antigravity from the Identification of Gravitation and Electromagnetism......Page 279
4.1.7 Prediction of Gravitational Repulsion for Isodual Light Emitted by Antimatter......Page 280
4.2.1 Santilli's Proposed Test of Antigravity for Positrons in Horizontal Flight......Page 281
4.2.2 Santilli's Proposed Tests of Antigravity for Isodual Light......Page 287
4.2.3 Mills' Studies of Santilli’s Proposed Tests of Antigravity......Page 288
4.3.1 Introduction......Page 293
4.3.2 Causal Time Machine......Page 294
4.3.3 Isogeometric Propulsion......Page 296
References......Page 301
5.1.1 The Role of Antimatter in Grand Unifications......Page 303
5.1.2 Axiomatic Incompatibilities of General Relativity and Electroweak Interactions......Page 304
5.1.3 Resolution of the Incompatibilities via Isotopies and Isodualities......Page 306
5.1.4 Isotopic Gauge Theories......Page 313
5.1.5 Iso-Grand-Unification......Page 319
5.2 ISO-, GENO-, AND HYPER-SELF-DUAL COSMOLOGIES......Page 323
5.3 CONCLUDING REMARKS......Page 328
References......Page 335
F......Page 338
I......Page 339
P......Page 341
W......Page 342
