We construct a gravity dual of a boost-invariant flow of an N = 4 SU(N) supersymmetric Yang-Mills gauge theory plasma with chemical potential. We present both a firstorder corrected late-time solution in Eddington-Finkelstein coordinates and a zeroth-order solution in parametric form in Fefferman-Graham coordinates. The resulting background takes the form of a time-dependent AdS Reissner-Nordst...

We introduce coordinates on the moduli spaces of maximal globally hyperbolic constant curvature 3d spacetimes with cusped Cauchy surfaces S. They are derived from the parametrisation of the moduli spaces by the bundle of measured geodesic laminations over Teichmüller space of S and can be viewed as analytic continuations of the shear coordinates on Teichmüller space. In terms of these coordinat...

We start from a new theory (discussed earlier) in which the arena for physics is not spacetime, but its straightforward extension—the so called Clifford space (C-space), a manifold of points, lines, areas, etc..; physical quantities are Clifford algebra valued objects , called polyvectors. This provides a natural framework for description of super-symmetry, since spinors are just left or right ...

In the scale-relativity theory, space–time is described as a nondifferentiable continuum and the trajectories as its geodesics. In such a space–time, the coordinates are defined as the sum of a classical part that remains differentiable, and a fluctuating, fractal part , that is divergent and nondifferentiable. The nondifferentiable geometry has three minimal consequences, namely infinite numbe...

The original ideas about noncommuting coordinates are recalled. The connection between U(1) gauge fields defined on noncommuting coordinates and fluid mechanics is explained. The idea that configuration-space coordinates may not commute

We show that the infinite-dimensional Teichmüller space of a Riemann surface whose boundary consists of n closed curves is a holomorphic fiber space over the Teichmüller space of n-punctured surfaces. Each fiber is a complex Banach manifold modeled on a twodimensional extension of the universal Teichmüller space. The local model of the fiber, together with the coordinates from internal Schiffer...

The space of colours is a fascinating space. It is a real vector space, but no matter what inner product you put on the space the resulting Euclidean distance does not corresponds to human perception of difference between colours. In 1942 MacAdam performed the first experiments on colour matching and found the MacAdam ellipses which are often interpreted as defining the metric tensor at their c...

computer graphics, transformations, texture mapping In a 3D graphics application, a common operation is the binding of a 2D texture onto a triangle in a 3D positional space. For light-dependent or view-dependent texture mapping, a need may arise in the graphics pipeline to transform the light or view direction vector into texture space. The affine transformation is unique within the plane of th...