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The topology of the event horizon of a black hole is spherical in 3D but a ring in higher dimension ¨C the essence of extraterrestrial travel through the Hyperspace
India daily Technology Team
Sep. 7, 2007
Scientists understand that the event horizon in a black hole must be of positive Yamabe type, meaning that it must admit a metric of positive scalar curvature. In Riemannian geometry, the scalar curvature (or Ricci scalar) is the simplest curvature invariant of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the intrinsic geometry of the manifold near that point.
In two dimensions the scalar curvature completely characterizes the curvature of a Riemannian manifold. In dimensions ¡Ý 3, however, more information is needed.
The topology of the event horizon of a black hole is spherical in 3D but a ring in higher dimension. This is the reason why extraterrestrial UFOs propagating higher dimensions have easier time to travel. Simply put the space-time curvature can be easily manipulated once you accept the fact that the event horizon is like a ring and not necessarily spherical.
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