Linearization of Minkowski Space and Five-dimensional Space

A brane in five - dimensional Minkowski space ∗

We discuss the propagation of gravity in five-dimensional Minkowski space in the presence of a four-dimensional brane. We show that there exists a solution to the wave equation that leads to a propagator exhibiting four-dimensional behavior at low energies (long distances) with five-dimensional effects showing up as corrections at high energies (short distances). We compare our results with pro...

A brane in five - dimensional infinite flat Minkowski space ∗

We discuss the propagation of gravity in five-dimensional infinite flat Minkowski space in the presence of a four-dimensional brane. Previous analyses have modeled the propagation of gravity in the extra dimensions by imposing boundary conditions on the brane equivalent to considering incoming waves on both sides of the brane. By considering, instead, incoming waves on one side of the brane, wh...

N–dimensional Minkowski Space and Space–time Algebra

By using an n–Dimensional Minkowski space, the space–time algebra is introduced. It is used for discussing physical problems of special relativity.

Five-Dimensional Space-Times

Dimensional reduction from entanglement in Minkowski space

Using a quantum field theoretic setting, we present evidence for dimensional reduction of any sub-volume of Minkowksi space. First, we show that correlation functions of a class of operators restricted to a sub-volume of D-dimensional Minkowski space scale as its surface area. A simple example of such area scaling is provided by the energy fluctuations of a free massless quantum field in its va...