SYMMETRY BREAKING BIFURCATION BEHAVIOR OF DOME STRUCTURES AND GROUP THEORY

Cosmic Symmetry-breaking, Bifurcation, Fractality and Biogenesis

This paper explores the non-linear quantum foundations of biogenesis in interactive bifurcations between the properties of the elements, sourced in the transitions induced by cosmic symmetry-breaking [King 1978]. The key interactions forming the biogenic pathway are modeled in terms of interactive quantum bifurcations explaining why the bioelements play the interactive role they do and why cent...

Symmetry Breaking in Equivariant Bifurcation Problems

In both equivariant bifurcation theory [GSS, especially Chapter XIII] and physical theories of spontaneous symmetry breaking (for example, the Higgs-Landau theory [M]), there is the problem of determining the symmetries, stabilities and branching patterns for solutions of equations equivariant under a compact Lie group G. Very few general results and techniques are known for the analysis of thi...

Optimum Symmetry Breaking in CSPs Using Group Theory

Symmetry Breaking in String Theory

In this paper we discuss symmetry breaking in string theory. Spacetime symmetries are implemented as inner automorphisms of the underlying superconformal algebra. Conserved currents generate unbroken spacetime symmetries. As we deform the classical solutions of the string equations of motion, the deformed currents continue to generate spontaneously broken symmetries eventhough they cease to com...

Reduction theory for symmetry breaking

We formulate Euler-Poincaré equations for systems with broken symmetry. In particular, we consider the action of a Lie group O (the broken symmetry) on a manifold M , thereby extending the well known case when M is a vector space. In condensed matter physics, M is known as the order parameter space and we provide several examples of how the present treatment applies in this framework, with spec...