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If we look at the law of universal gravitation we know that regardless of the distance between masses there is some gravitational influence, albeit very very weak at galactic distances. This law describes the influence of gravity. When we look at relativity we find that gravity is represented by warped space-time. Knowing that every object affects every other object in the universe inversely proportional to the distance squared we an postulate that the shape of space-time is no where near flat and most likely not spherical. It is a convoluted, twisting 4-dimensional entity with no consistent shape or central frame of reference. Stepping outside of basic physics and mathematics we begin to enter the realm of manifolds to describe various components of space-time.
In the early 1900s there were several observations of eclipses to verify Einstein's theory of general relativity (the melding of universal gravitation and special relativity). Basically they were verifying gravitational lensing due to warped space-time. As it was clearly verified we are left with a non-euclidean universe. If, while traveling on the a light ray you encounter a sufficient gravitational field the ray would bend to follow the warp of space-time. From your reference point, however, you would appear to continue in a straight line, never feeling any effects of inertial change as there is no inertial change.
I think this is all correct-what I was suggesting was the properties of the universe without gravity. Now obviously the universe is pockmarked with holes, but the general structure of the universe stays the same to some extent. I still have to ask my physics teacher about the speed limit of light no matter the starting speed thing....