From the special theory of relativity, we know that if we accelerate an object from rest, its mass will increase and tend to infinity as the speed of the object approaches the speed of light. It is known from this that it is impossible to accelerate an object with non-zero mass to the speed of light or beyond. When we think of the object with non-zero mass as comprising curved space structures, any attempt to accelerate the object to the speed of light would, in effect, transform the atoms in the object from a static electromagnetic form to a dynamic electromagnetic wave travelling at the speed of light. In such a 'thought experiment', we would not expect the static structure to retain its rest structure as it approaches the speed of light. The following summary of the properties of space is based on the theories of special and general relativity, quantum theory and the curved space theory.
Space is finite.
Space has a boundary which is receding at the speed of light. Space is uniformly expanding at the rate of approximately one part in 15 billion per year. The expansion of space results in the release of energy and the creation of matter. Space supports electromagnetic wave propagation. The speed of light in a vacuum is a universal constant for all uniformly moving observers.