### Synopses & Reviews

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.

#### Synopsis

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.

### About the Author

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.

### Table of Contents

PREFACE. 1: INTRODUCTION. 1.1 The Scientific Imbalance Caused by Antimatter. 1.2 Guide to the Monograph. 1.3 The Scientific Imbalance Caused by Special Relativity and Quantum Mechanics for Matter and Antimatter. 1.4 The Scientific Imbalance Caused by General Relativity and Quantum Gravity for Matter and Antimatter. 1.5 Hadronic Mechanics. 2: ISODUAL THEORY OF POINT-LIKE ANTIPARTICLES. 2.1 Elements of Isodual Mathematics. 2.2 Classical Isodual Theory of Point-like Antiparticles. 2.3 Operator Isodual Theory of Point-like Antiparticles. 3: LIE-ISOTOPIC AND LIE-ADMISSIBLE TREATMENTS OF EXTENDED PARTICLES AND THEIR ISODUALS FOR EXTENDED ANTIPARTICLES. 3.1 Introduction. 3.2 Isomathematics for Extended particles and Its Isodual for Extended Antiparticles. 3.3 Classical Iso-Hamiltonian Mechanics and Its Isodual. 3.4 Lie-Isotopic Branch of Hadronic Mechanics and Its Isodual. 3.5 Isorelativity and Its Isodual. 3.6 Lie-Admissible Branch of Hadronic Mechanics and Its Isodual. 3.7 Experimental Verifications and Industrial Applications of Hadronic Mechanics. 4: ANTIGRAVITY AND SPACETIME MACHINES. 4.1 Theoretical Predictions of Antigravity. 4.2 Experimental Verification of Antigravity. 4.3 Causal Spacetime Machine. 5: GRAND-UNIFICATION AND COSMOLOGY. 5.1 Iso-Grand-Unification. 5.2 Iso-Self-Dual and Geno-Self-Dual Cosmologies. 5.3 Concluding Remarks. INDEX