Discrete Quantum Transitions, Duality: Emergence of Physical Structures and Occurrence of Observed Formations (Hidden Properties of Mathematical Physics Equations)

With the help of skew-symmetric differential forms, the hidden properties of the mathematical physics equations that describe discrete quantum transitions and emergence the physical structures are investigated. It is shown that the mathematical physics equations possess a unique property. They can describe discrete quantum transitions, emergence of physical structures and occurrence observed formations. However, such a property possesses only equations on which no additional conditions, namely, the conditions of integrability, are imposed. The intergrability conditions are realized from the equations themselves. Just under realization of integrability conditions double solutions to the mathematical physics equations, which describe discrete transitions and so on, are obtained. The peculiarity consists in the fact that the integrability conditions do not directly follow from the mathematical physics equations;they are realized under the description of evolutionary process. The hidden properties of differential equations were discovered when studying the integrability of differential equations of mathematical physics that depends on the consistence between the derivatives in differential equations along different directions and on the consistence of equations in the set of equations. The results of this work were obtained with the help of skew-symmetric differential forms that possess a nontraditional mathematical apparatus such as nonidentical relations, degenerate transformations and the transition from nonintegrable manifolds to integrable structures. Such results show that mathematical physics equations can describe quantum processes.

Global Power Structure Shifted and Transitional Multi-polarity Emerged

The world is facing the third important global power shift.The United States,EU, Japan,Russia,China,and the newly emerging power group are becoming the six big forces in the international center stage,while the former three forces and the latter three belong to two groups,waning and waxing respectively.The major shift in the global balance of power is bound to give rise to the transitional multi-polar configuration,which implies a shifting of leadership over the configuration,China and U.S.outweighing other forces,global issues looming large,homogeneity blending with heterogeneity,and a shifting center of world powers.The transitional multi-polar configuration is all about change,upon which China is one of the decisive forces.

Deceleration Parameter Q(Z) and Examining If a Joint DM-DE Model Is Feasible, with a Revisit to the Question of Cosmic Singularities

This paper is a revisit to a 2011 document, with the addition of results pertinent to singularities in the case of a single repeating universe, as well as when the multiverse voids the necessity of a classical GR singularity. When a classical singularity does not exist, it impacts the formation of a massive graviton for reasons brought up, and allows for reacceleration of the universe due to massive gravitons. The existence of massive gravitons would also affect initial entropy, and also lead to the datum, that a calculated inflaton may re-emerge after fading out in the aftermath of inflation. The inflaton may be a contributing factor, with non-zero graviton mass, in reacceleration of the universe a billion years ago. The inflaton is a source of reacceleration of the universe, especially if the effects of a re-emergent inflaton are in tandem with the appearance of macro effects of a small graviton mass, leading to a speed up of the rate of expansion of the universe one billion years ago, at red shift value of Z ~ 0.423. We find that the graviton being massless or massive directly affects graviton contributions to reacceleration of the universe, with other phenomenological consequences. Finally we give our own counterpart as to how much space-time should be transferred to the present cosmological inflationary cycle which may permit preservation of Planks constant value and support Corda’s brilliant “gravity’s breath” document.