It is now accepted by mainstream science that we live in an expanding Universe and that all bodies are moving away from each other at the same (increasing) rate, except for those that are gravitationally bound to each other, such as our Sun and the planets in our galaxy, that said our galaxy is moving away from all other galaxies at a rate that is increasing, rather like two points on a balloon as it is being inflated.
Given that our Universe is infinite in size and there are infinite celestial bodies (at least as far as we humble humans are concerned), if you take that galaxy “A” is moving away from galaxy “B” which in turn is moving away from galaxy “C”, the speed of movement between “A” and “B” is x, therefore the speed between “A” and “C” is x2 with an infinite amount of bodies in the universe at some point x must exceed the speed of light.
We have all been told since we first arrived in school that nothing can travel at or exceed the speed of light, yet this is in direct contradiction of an expanding universe with infinite bodies.
I have been offered the ‘fudged’ answer of “oh, it is non-euclidean” to which I reply “NUTS”, this is simply a cop-out, euclidean or non-euclidean, movement is movement and this equates to a distance over time, which is our definition of speed.
So what I am looking for here is an explanation of how this could be and what it means in terms of our understanding of the mechanics of our universe.