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Isodual theory of antimatter: applications to antigravity, grand unification and cosmology
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
Studies on A. Einstein. B. Podolsky and N. Rosen argument that “quantum mechanics is not a complete theory,” III: Illustrative examples and applications
In the preceding Papers I and II of this series, we have presented a review and upgrade of basic mathematical, physical and chemical methods, and provided a confirmation of the apparent proof of the EPR argument [1] that extended particles within physical media (interior dynamical problems) admit classical counterparts [9], while Einstein’s determinism appears to be progressively verified with the increase of the density of the medium [10]. In this third and final paper of the series, we shown that the EPT argument in general, and Einstein’s determinism in particular, appear to be progressively verified in the structure of mesons, baryon, nuclei, and molecular bonds while being fully verified at the limit of gravitational collapse. We additionally show, apparently for the first time, the validity of the EPR final statement to the effect that the wavefunction [of quantum mechanics] does not provide a complete description of the physical reality” since the covering isowavefunctions of hadronic mechanics provide an otherwise impossible representation of all characteristics of various physical and chemical interior systems existing in nature.
Foundations of theoretical mechanics
Bibliography: v. 1, p. 257-261.1. The inverse problem in Newtonian mechanics2. Birkhoffian generalization of Hamiltonian mechanicsIncludes index
Overview of historical and recent verifications of the EPR argument and their applications to physics, chemistry and biology
Overview of historical and recent verifications of the EPR argument and their applications to physics, chem- istry and biolog
Studies on A. Einstein, B. Podolsky and N. Rosen argument that “quantum mechanics is not a complete theory,” II: Apparent confirmation of the EPR argument
In1935, A.Einsteinexpressedhishistoricalview, jointly with B.Podolsky and N. Rosen, that quantum mechanics could be “completed” into a form recovering classical determinism at least under limit conditions (EPR argument). In the preceding Paper I, we have outlined the basic methods underlying the “completion” of quantum mechanics into hadronic mechanics for the representation of extended particles within physical media. In this Paper II, we study the isosymmetries for interior dynamical systems; we confirm the 1998 apparent proof that interior dynamical systems admit a classical counterpart; we confirm the 2019 apparent proof that Einstein’s determinism is progressively approached for extended particles in the interior of hadrons, nuclei and stars, while being fully achieved in the interior of gravitational collapse; and we show for the first time that the recovering of Einstein’s determinism in interior systems implies the removal of quantum mechanical divergencies. In the subsequent Paper III, we present a number of illustrative examples and novel applications in mathematics, physics and chemistry
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