Abstract Topological defects and smooth excitations determine the properties of systems showing collective order. We introduce a generic non-singular field theory that comprehensively describes in with O ( n ) broken rotational symmetry. Within this formalism, we explore fast events, such as defect nucleation/annihilation dynamical phase transitions where interplay between topological non-linea...

It has been shown by many authors that the cross correlation of two recordings of a diffuse wave field at different receivers yields the Green's function between these receivers. Recently the theory has been extended for situations where time-reversal invariance does not hold (e.g., in attenuating media) and where source-receiver reciprocity breaks down (in moving fluids). Here we present a uni...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

Some new approximate solutions to the field equations of Einstein’s unified field theory are constructed, and the physical significance of the theory is examined. According to the conventional physical interpretation of the theory, the singularities of the new solutions should represent magnetically charged point masses. It is found that in order to satisfy the field equations, such solutions m...

This talk is based on a work done in collaboration with A. Akabane, T. Hattori, K. Katsuura, and H. Mukaida.[1] Here I would like to show how the gravitational, gauge and matter field theories are induced on a brane world. Recently, idea of the brane world attracts much attention with expectation for large extra dimensions, or in connection with the superstring theory.[2][5] The idea that we li...

The prediction of the half-width of the helium ion energy distribution is re-examined, in the light of recent progress in imaging theory. It is argued that prediction on the basis of JWKB-type formalisms should be possible: the need is for more realistic models of the electron barrier at a real emitter surface.

This is part of a research program to establish a unified field model for interactions in nature. The aim of this article is to postulate a new principle of representation invariance (PRI), to provide a needed mathematical foundation for PRI, and to use PRI to refine the unified field equations of four interactions. Intuitively, PRI amounts to saying that all SU(N) gauge theories should be inva...

A unified field theory based on the compactification of a higher Ddimensional Einstein-Yang-Mills-Higgs action is developed. The extra D − 4 dimensions form a compact internal space with scale size R. An anomaly-free unified chiral model of quarks and leptons described by SO(18) breaks down to SO(10) × SO(8) → SO(10) with a non-trivial topological structure and three chiral families in four dim...