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An action for a classical string, the equation of motion and group invariant classical solutions

100%

Bracken P.

Open Physics

2008

vol. 6

issue 3

662-670

A string action which is essentially a Willmore functional is presented and studied. This action determines the physics of a surface in Euclidean three space which can be used to model classical string configurations. By varying this action an equation of motion for the mean curvature of the surface is obtained which is shown to govern certain classical string configurations. Several classes of classical solutions for this equation are discussed from the symmetry group point of view and an application is presented.

A cyclic universe with colour fields

52%

Yershov V.

Open Physics

2009

vol. 7

issue 1

50-66

The topology of the universe is discussed in relation to the singularity problem. We explore the possibility that the initial state of the universe might have had a structure with 3-Klein bottle topology, which would lead to a model of a nonsingular oscillating (cyclic) universe with a well-defined boundary condition. The same topology is assumed to be intrinsic to the nature of the hypothetical primitive constituents of matter (usually called preons) giving rise to the observed variety of elementary particles. Some phenomenological implications of this approach are also discussed.

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2 Open Physics

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An action for a classical string, the equation of motion and group invariant classical solutions

A cyclic universe with colour fields