Isodual Theory of Antimatter: with applications to Antigravity, Grand Unification and CosmologySpringer Science & Business Media, 28 feb 2006 - 329 páginas Antimatter, already conjectured by A. Schuster in 1898, was actually predicted by P.A.M. Dirac in the late 19-twenties in the negative-energy solutions of the Dirac equation. Its existence was subsequently confirmed via the Wilson chamber and became an established part of theoretical physics. Dirac soon discovered that particles with negative energy do not behave in a physically conventional manner, and he therefore developed his "hole theory". This restricted the study of antimatter to the sole level of second quantization. As a result antimatter created a scientific imbalance, because matter was treated at all levels of study, while antimatter was treated only at the level of second quantization. In search of a new mathematics for the resolution of this imbalance the author conceived what we know today as Santilli’s isodual mathematics, which permitted the construction of isodual classical mechanics, isodual quantization and isodual quantum mechanics. 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. |
Índice
INTRODUCTION | 1 |
112 The Mathematical Origin of the Imbalance | 2 |
113 Basic Assumptions of Isodual Mathematics | 3 |
12 GUIDE TO THE MONOGRAPH | 5 |
122 Outline of the Monograph | 8 |
123 Literature on Isoduality | 9 |
13 THE SCIENTIFIC IMBALANCE CAUSED BY SPECIAL RELATIVITY AND QUANTUM MECHANICS FOR MATTER AND ANTIMATTER | 11 |
132 Limitations of Special Relativity and Quantum Mechanics | 14 |
323 Isofunctional Analysis Isodifferential Calculus and their Isoduals | 155 |
324 Isospaces Isogeometries Isotopologies and their Isoduals | 156 |
325 LieSantilli Isotheory and its Isodual | 159 |
33 CLASSICAL ISOHAMILTONIAN MECHANICS AND ITS ISODUAL | 161 |
332 IsoAction Principle and its Isodual | 166 |
333 IsoHamiltonian Mechanics and its Isodual | 167 |
34 LIEISOTOPIC BRANCH OF HADRONIC MECHANICS AND ITS ISODUAL | 169 |
342 Naive Isoquantization and its Isodual | 171 |
133 Limitations of Conventional Mathematical and Physical Methods | 22 |
134 Inapplicability of the Galilean and Special Relativities for Matter and Antimatter Dynamical Systems with Resistive Forces | 24 |
135 Inapplicability of Special Relativity for the Propagation of Light within Physical Media of Matter or Antimatter | 25 |
136 Inapplicability of the Galilean and Poincare symmetries for Interior Dynamical Systems of Matter or Antimatter | 28 |
137 Lack of Exact Character of Special Relativity and Quantum Mechanics for the Structure of Hadrons Nuclei and Stars | 30 |
14 THE SCIENTIFIC IMBALANCE CAUSED BY GENERAL RELATIVITY AND QUANTUM GRAVITY FOR MATTER AND ANTIMATTER | 32 |
142 Catastrophic Inconsistencies of General Relativity due to Lack of Sources | 33 |
143 Catastrophic Inconsistencies of General Relativity due to Curvature | 39 |
15 HADRONIC MECHANICS | 45 |
152 Catastrophic Inconsistencies of Noncanonical Theories | 46 |
153 Catastrophic Inconsistencies of Nonunitary Theories | 57 |
154 The Birth of Isomathematics Genomathematics and their Isoduals | 67 |
155 Hadronic Mechanics | 71 |
References | 79 |
ISODUAL THEORY OF POINTLIKE ANTIPARTICLES | 85 |
212 Isodual Functional Analysis | 89 |
213 Isodual Differential and Integral Calculus | 90 |
215 Isodual Euclidean Geometry | 91 |
216 Isodual Minkowskian Geometry | 93 |
217 Isodual Riemannian Geometry | 94 |
22 CLASSICAL ISODUAL THEORY OF POINTLIKE ANTIPARTICLES | 96 |
222 Need for Isoduality to Represent All Time Directions | 97 |
223 Experimental Verification of the Isodual Theory of Antimatter in Classical Physics | 98 |
224 Isodual Newtonian Mechanics | 100 |
225 Isodual Lagrangian Mechanics | 102 |
227 Isodual Galilean Relativity | 104 |
228 Isodual Special Relativity | 107 |
229 Inequivalence of Isodual and Spacetime Inversions | 110 |
2210 Isodual Thermodynamics of Antimatter | 112 |
2211 Isodual General Relativity | 113 |
23 OPERATOR ISODUAL THEORY OF POINTLIKE ANTIPARTICLES | 114 |
232 Isodual Quantization | 115 |
234 Isoselfduality of Minkowskis Line Elements and Hilberts Inner Products | 117 |
235 Isodual Schrodinger and Heisenbergs Equations | 118 |
237 Equivalence of Isoduality and charge conjugation | 122 |
238 Experimental Verification of the Isodual Theory of Antimatter in Particle Physics | 125 |
2310 Photons and their Isoduals | 127 |
2311 Electrons and their Isoduals | 128 |
2312 Protons and their Isoduals | 129 |
2314 Isoselfdual Bound States | 131 |
2315 Resolution of the Inconsistencies of Negative Energies | 133 |
135 | |
LIEISOTOPIC AND LIEADMISSIBLE TREATMENTS OF EXTENDED PARTICLES AND THEIR ISODUALS FOR EXTENDED ANTIPARTICLES | 137 |
312 Structural Differences between Exterior and Interior Dynamical Systems of Particles and of Antiparticles | 139 |
313 Closed NonHamiltonian Systems of Extended Particles and Extended Antiparticles | 142 |
314 Ultimate Elemental Origin of Nonpotential Interactions | 146 |
316 Iso Geno and HyperFormulations for Particles and their Isoduals for Antiparticles | 150 |
32 ISOMATHEMATICS FOR EXTENDED PARTICLES AND ITS ISODUAL FOR EXTENDED ANTIPARTICLES | 151 |
322 Isonumbers Isofields and their Isoduals | 153 |
343 IsoHilbert Spaces and their Isoduals | 173 |
344 Isolinearity Isolocality and Isounitarity | 174 |
345 IsoSchrodinger and IsoHeisenberg Equations and their Isoduals | 175 |
346 Simple Construction of Isotheories | 177 |
347 Invariance of Isotopic Theories | 178 |
35 ISORELATIVITY AND ITS ISODUAL | 179 |
352 IsoMinkowskian Spaces and their Isoduals | 183 |
353 PoincareSantilli Isosymmetry and its Isodual | 185 |
354 Isorelativity and its Isodual | 191 |
355 Isorelativistic Hadronic Mechanics and its Isoduals | 194 |
356 Isogravitation and its Isodual | 198 |
HADRONIC MECHANICS AND ITS ISODUAL | 202 |
362 The Forgotten Legacy of Lagrange and Hamilton | 203 |
363 Early Representations of Irreversible Systems | 204 |
364 Elements of Genomathematics | 208 |
365 LieSantilli Genotheory and its Isodual | 211 |
366 GenoNewtonian Mechanics and its Isodual | 213 |
367 LieAdmissible Classical Genomechanics and its Isodual | 216 |
368 LieAdmissible Branch of Hadronic Mechanics and its Isodual | 219 |
369 Simple Construction of Lie Admissible Theories | 221 |
3610 Invariance of Lie Admissible Theories | 222 |
3611 Genorelativity and its Isodual | 223 |
3612 LieAdmissible Hypertheories and their Isoduals | 224 |
37 EXPERIMENTAL VERIFICATIONS AND INDUSTRIAL APPLICATIONS OF HADRONIC MECHANICS | 228 |
372 Experimental Verifications of LieAdmissible Theories | 233 |
ANTIGRAVITY AND SPACETIME MACHINES | 253 |
412 Newtonian and Euclidean Prediction of Antigravity | 255 |
413 Minkowskian and Riemannian Predictions of Antigravity | 257 |
414 Prediction of Antigravity from Isodual Einsteins Gravitation | 258 |
415 Identification of Gravitation and Electromagnetism | 260 |
416 Prediction of Antigravity from the Identification of Gravitation and Electromagnetism | 264 |
417 Prediction of Gravitational Repulsion for Isodual Light Emitted by Antimatter | 265 |
42 EXPERIMENTAL VERIFICATION OF ANTIGRAVITY | 266 |
422 Santillis Proposed Tests of Antigravity for Isodual Light | 272 |
423 Mills Studies of Santillis Proposed Tests of Antigravity | 273 |
43 CAUSAL SPACETIME MACHINE | 278 |
432 Causal Time Machine | 279 |
433 Isogeometric Propulsion | 281 |
287 | |
GRANDUNIFICATION AND COSMOLOGY | 289 |
512 Axiomatic Incompatibilities of General Relativity and Electroweak Interactions | 290 |
513 Resolution of the Incompatibilities via Isotopies and Isodualities | 292 |
514 Isotopic Gauge Theories | 299 |
515 IsoGrandUnification | 305 |
52 ISO GENO AND HYPERSELFDUAL COSMOLOGIES | 309 |
53 CONCLUDING REMARKS | 314 |
References | 321 |
325 | |
Otras ediciones - Ver todo
Isodual Theory of Antimatter: with applications to Antigravity, Grand ... Ruggero Maria Santilli No hay ninguna vista previa disponible - 2006 |
Isodual Theory of Antimatter: with applications to Antigravity, Grand ... Ruggero Maria Santilli No hay ninguna vista previa disponible - 2006 |
Isodual Theory of Antimatter: with applications to Antigravity, Grand ... Ruggero Maria Santilli No hay ninguna vista previa disponible - 2009 |