13538 - Closed time curves
N. Lygeros
Translated from the Greek by Angeliki Papadopoulou
– Master, do closed time curves exist?
– They have been discovered by Kurt Gödel in 1949.
– The problem which raised Albert Einstein to Constantine Caratheodory.
– Yes in 1916.
– How can they exist?
– The metric of universe by Gödel is a solution of General Relativity.
– And is this enough?
– For the existence, yes.
– And how is it like?
– It’s a revolving universe.
– Around which axis?
– It is one direction that looks like axis.
– And what else?
– Its space is homogeneous.
– So each point is equivalent with any other.
– Exactly.
– It has a form of symmetry.
– And its universe is topologically smooth.
– So it does not have peculiarities.
– It is actually full geodesic.
– So, it is isoform in the second grade with the real numbers in the fourth force too.
– And simply cohesive.
– It has and imperishable.
– Which?
– The tensor of Riemann has characteristic polynomial.
– And what are its peculiarities?
– It has only three.
– Which?
– 0 as triple, the -ω2 dual and ω2 as simple.
– It’ s incredible.
– But true.
– Anything else?
– It has the algebra of Lie in five dimensions.