Quintessential phenomena in higher-dimensional space-time

Gravitational Collapse in Higher Dimensional Husain Space-Time

We investigate exact solution in higher dimensional Husain model for a null fluid source with pressure p and density ρ are related by the following relations (i) p = kρ, (ii) p = kρ− B(v) ρα (variable modified Chaplygin) and (iii) p = kρ (polytropic). We have studied the nature of singularity in gravitational collapse for the above equations of state and also for different choices of the of the...

Space-Time and Higher Dimensional Modeling for Animation

There are limitations to the current BRep based “model then animate” paradigm when animating time-dependent (dynamic) objects. This paper describes an approach to modeling dynamic objects directly in space-time or even higher dimensional space. The use of the function representation (FRep) is proposed due to the ease with which it handles higher dimensions. After creating a multidimensional FRe...

Short cuts in higher dimensional space

Higher-U(2, 2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation phenomena

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2, 2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS5 is provided. These are higher-dimensional W-like algebras and constitute a potential gauge guide principle towards the formulation of induced conformal gravities (Wess-Zumino-Witten-like models) in re...

Visualising higher-dimensional space-time and space-scale objects as projections to ℝ3

Objects of more than three dimensions can be used to model geographic phenomena that occur in space, time and scale. For instance, a single 4D object can be used to represent the changes in a 3Dobject’s shape across time or all its optimal representations at various levels of detail. In this paper, we look at how such higher-dimensional spacetime and space-scale objects can be visualised as pro...