Hi Pasti,

How can a geometry be Lorentzian? Either you have a "flat space" with linearly independent coordinates or you have a bent space whatever shape you call it. Even Einstein's equations of general relativity describes a "bent space-time field" relative to a four-dimensional Euclidean space. In a Eucildean space of any dimension derivatives calculated relative to a change along one of the axes are always zero. Thus within such a space one cannot calculate any change with time (the so-called fourth dimension); If nothing can change there must be nothing.

http://www.cathodixx.com