Plasma Crystal in (3 + 1) Dimensions

Topological Mass Generation in 3+1 Dimensions

The four-dimensional theory of a 1-form abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B is studied. The two gauge invariances of the theory admit a coupling mB∧F where F is the field strength (F = dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no additional degrees of freedom. In this sense it is a general...

Why we live in 3 + 1 dimensions

In the same fashion that Einstein’s General Relativity required Riemannian Geometry for its foundations, the New Relativity Theory requires a Cantorian-Fractal Spacetime, which is an example of Von Neumann’s Noncommutative Geometry. Starting from first principles, an ensemble distribution for all the infinite dimensions of quantum spacetime is derived that requires Fermat’s last theorem. An exp...

Weyl Invariant Dynamics in 3 Dimensions 1

We analyze a variety of Weyl invariant dynamical problems in three dimensions.

Numerical Relativity in 3+1 Dimensions

Numerical relativity is finally approaching a state where the evolution of rather general (3+1)-dimensional data sets can be computed in order to solve the Einstein equations. After a general introduction, three topics of current interest are briefly reviewed: binary black hole mergers, the evolution of strong gravitational waves, and shift conditions for neutron star binaries.

The Fate of Non-Abelian Plasma Instabilities in 3+1 Dimensions