Isodual Theory of Antimatter: with applications to Antigravity, Grand Unification and Cosmology

Portada
Springer 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
References
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
References
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
Index
325
Página de créditos

Otras ediciones - Ver todo

Términos y frases comunes

Pasajes populares

Página 244 - Editors, Advances in Fundamental Physics, Hadronic Press (1995). [95] Gr. Tsagas, Editor, New Frontiers in Algebras. Groups and Geometries, Hadronic Press (1996). [96] T. Vougiouklis, Editor, New Frontiers in Hyperstructures, Hadronic Press, (1996). [97] TL Gill, Editor, New Frontiers in Hadronic Mechanics, Hadronic Press (1996). [98] TL Gill, Editor, New Frontiers in Relativities, Hadronic Press (1996). [99] TL Gill, Editor, New Frontiers in Physics,, Vol.

Sobre el autor (2006)

Professor Ruggero Maria Santilli received his degree of "Dottore in Fisica" from the University of Naples, Italy. In 1966, at the Graduate School in Physics of the University of Turin, he obtained the highest Italian degree, corresponding to the U.S. Ph.D. in Physics. He also held the chair of Professor of Nuclear Physics at the famous A. Avogadro Institute in Turin, Italy.

In 1967 Santilli was invited by the University of Miami, Florida, to conduct research with NASA financial support. In 1968 he joined Boston University as Associate Professor of Physics, where he taught Physics and conducted research for the U.S. Air Force, the latter of which led to his assuming the U.S. Citizenship.

In 1976 and 1977 Santilli was a visiting scholar at the Institute for Theoretical Physics of the Massachusetts Institute of Technology.

In 1978 Santilli joined Harvard University where he was co-principal investigator of research grants from the U.S. Department of Energy numbers ER-78-S-02-47420.A000 and AS02-78ER04742

In 1983 he assumed the position of President and Professor of Theoretical Physics of the newly formed Institute for Basic Research, then ocated on Harvard Grounds, as well as Principal Investigator of several DOE contracts.

From 1998 to 2001 Santili occupied the post of Doctor of research of corporations in the U.S.A., Europe and Asia. Recently he retired while remaining affiliated with various academic and corporate research institutions in the U.S.A., Ukraine, Russia, China, Italy, and Austria.

Santilli is the founder and Editor-in-Chief of three journals: Hadronic Journal, Hadronic Journal Supplement and Algebras, Groups and Geometries. He is also Editor to several journals in Physics and Mathematics, and a reviewer/advisor to many other journals.

Información bibliográfica