From a Twin Universe perspective, it is proposed that stellar nuclear fusion can account for the negative-energy pressure (Dark Energy) that drives our present-day accelerated cosmic expansion. In the mirror twinned universe all processes are duplicated but with reverse negative polarity. Both the Positive and Negative Universes exist on the opposing surfaces of a topological two-dimensional me...

By adding a proper term to the Lagrangian density of a real non-linear KG system with a proposed non-topological unstable solitary wave solution, its stability guaranteed appreciably. This additional term in the new modified Lagrangian density behaves like a strong internal force which stands against any arbitrary small deformation in the proposed non-topological solitary wave solution.

${}^{3}P_{2}$ superfluids realized in neutron stars are the largest topological quantum matters our Universe. We establish existence and stability of non-Abelian half-quantum vortices (HQVs) with strong magnetic fields. Using a self-consistent microscopic approach, we find that singly quantized vortex is energetically destabilized into pair two HQVs owing to strongly spin-orbit-coupled pairing....

In this study, we induce some topological structures in the covering rough set models, and construct their closure operators by using the covering upper approximation operators. Furthermore, we show that the minimum set of each of these topological structures is their base, and a partition on the universe of discourse. Finally, we discuss the relationships between some topologies generated by s...

We propose a topological inflation model in the framework of supergravity with R invariance. This topological inflation model is not only free from the initial value problem of the inflaton field but also gives low reheating temperature which is favored in supergravity since the overproduction of graviti-nos is avoided. Furthermore, the predicted spectrum of the density fluctuations is generall...

We propose a topological inflation model in the framework of supergravity with R invariance. This topological inflation model is not only free from the initial value problem of the inflaton field but also gives low reheating temperature which is favored in supergravity since the overproduction of gravitinos is avoided. Furthermore, the predicted spectrum of the density fluctuations is generally...

The purpose of this paper is to discuss some categorical properties of probabilistic convergence spaces. Its main theses are: (1) the construct P-PrTop of probabilistic pretopological spaces is the extensional topological hull of the construct FTPcs of FT -diagonal probabilistic convergence spaces for every triangular norm T ; (2) the construct P-PsTop of probabilistic pseudotopological spaces ...

We construct an induced gravity (pregeometry) where both the Newton constant and the cosmological constant appear as integration constants in solving field equations. By adding the kinetic terms of ghosts and antighosts, an action of the induced gravity is transformed to a topological field theory. Moreover, by solving field equations of the topological field theory in the FRW universe, we find...