Abstract:
The possibility of using antihydrogen for igniting inertial confinement fusion pellets or triggering large-scale thermonuclear explosions is investigated. The number of antiproton annihilations required to start a thermonuclear burn wave in either DT or Li_2DT is found to be about 10^{21}/k^2, where k is the compression factor of the fuel to be ignited. We conclude that the financial and energy investments needed to produce such amounts of antiprotons would confine applications of antimatter triggered thermonuclear devices to the military domain.

Abstract:
It is shown that the noncommutative Lorentz metric satisfies so-called nonpropagating waves. The long-range forces are obtained as a description of these wave motions. It leads to the natural introduction of the field values (group velocity and intensity of de Broglie waves) into Maxwell's equations and antimatter into Newtonian mechanics. One of the early predictions of the wave theory was existence of antiparticles (modes with the negative group velocity). They are attracted by ordinary matter, but repulse ordinary matter and each other gravitationally. The interaction between the two types of matter might lead to the expansion of the universe and maintain the energy reservoir for cosmic sources of intense radiation.

Abstract:
I suggest a practical particle model as an extension to the standard model. The model has a TeV scale $U(1)_{B-L}$ symmetry and it contains the fourth generation fermions with the TeV scale masses, in which including a cold dark matter neutrino. The model can completely account for the fermion flavor puzzles, the cold dark matter, and the matter-antimatter asymmetry through the leptogenesis. In particular, it is quite feasible and promising to test the model in future experiments.

Abstract:
Quantum solitons are discovered with the help of generalized quantum hydrodynamics. The solitons have the character of the stable quantum objects in the self consistent electric field. The delivered theory demonstrates the great possibilities of the generalized quantum hydrodynamics in investigation of the quantum solitons. The theory leads to solitons as typical formations in the generalized quantum hydrodynamics. The principle of universal antigravitation is considered from positions of the Newtonian theory of gravitation and non-local kinetic theory. It is found that explanation of Hubble effect in the Universe and peculiar features of the rotational speeds of galaxies need not in introduction of new essence like dark matter and dark energy. Problems of antimatter after Big Bang are considered from positions of non-local physics. The origin of difficulties consists in total Oversimplification following from principles of local physics and reflects the general shortenings of the local kinetic transport theory. Keywords: Foundations of the theory of transport processes; generalized Boltzmann physical kinetics; plasma - gravitational analogy; antigravitation; dark energy; dark matter; the theory of solitons; antimatter after Big Bang. PACS: 67.55.Fa, 67.55.Hc

Abstract:
An inspection of the contemporary physics literature reveals that, while matter is treated at all levels of study, from Newtonian mechanics to quantum field theory, antimatter is solely treated at the level of second quantization. For the purpose of initiating the restoration of full equivalence in the treatments of matter and antimatter in due time, in this paper we present a classical representation of antimatter which begins at the primitive Newtonian level with expected images at all subsequent levels. By recalling that charge conjugation of particles into antiparticles is anti-automorphic, the proposed theory of antimatter is based on a new map, called isoduality, which is also anti-automorphic, yet it is applicable beginning at the classical level and then persists at the quantum level. As part of our study, we present novel anti-isomorphic isodual images of the Galilean, special and general relativities and show the compatibility of their representation of antimatter with all available classical experimental knowledge, that on electromagnetic interactions. We also identify the prediction of antigravity for antimatter in the field of matter (or vice-versa) without any claim on its validity, and defer its resolution to specific experiments. To avoid a prohibitive length, the paper is restricted to the classical treatment which had not been sufficiently treated until now. Studies on operator profiles, such as the equivalence of isoduality and charge conjugation and the implication of the isodual theory in particle physics, are conducted in a separate paper.

Abstract:
We review our recent theoretical advances in quantum information and many body physics with cold atoms in various external potential, such as harmonic potential, kagome optical lattice, triangular optical lattice, and honeycomb lattice. The many body physics of cold atom in harmonic potential is investigated in the frame of mean-field Gross-Pitaevskii equation. Then the quantum phase transition and strongly correlated effect of cold atoms in triangular optical lattice, and the interacting Dirac fermions on honeycomb lattice, are investigated by using cluster dynamical mean-field theory and continuous time quantum Monte Carlo method. We also study the quantum spin Hall effect in the kagome optical lattice.

Abstract:
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra ${\bf{T}} := {\bf{C}}\otimes{\bf{H}}\otimes{\bf{O}}$, an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter - at the very least.

Abstract:
Cosmological models which predict a large amount of antimatter in the Universe are reviewed. Observational signatures and searches for cosmic antimatter are briefly considered. A short discussion of new long range forces which might be associated with matter and antimatter is presented.

Abstract:
Matter-antimatter asymmetries observed in high energy / relativistic heavy ion collisions and, differently, in the Early Universe are discussed considering ideas from the phase diagram of strong interactions with assumptions that do not necessarilly rely on non-equilibrium conditions, and that are based in effects such as spontaneous symmetry breaking.

Abstract:
Different scenarios of baryogenesis are briefly reviewed from the point of view of possibility of generation of cosmologically interesting amount of antimatter. It is argued that creation of antimatter is possible and natural in many models. In some models not only anti-helium may be produced but also a heavier anti-elements and future observations of the latter would be critical for discovery or establishing stronger upper limits on existence of antimatter. Incidentally a recent observation of iron-rich quasar may present a support to one special model of antimatter creation.