Irrational Physics: The size of the universe and the forces between objects at distance

Thinking about the theory that the speed of light is not invariant over time, what would the universe look like if there was an outward pressure on the space between any two objects which varied directly (perhaps exponentially) with the space between the objects and inversely with the size of the universe. e.g. in an early state universe objects are much closer together but the space is fairly large relative to the size of the universe, so pressure is high and space pushes apart. In the later stage universe the space between close objects is the same but the size of the universe is much much bigger so you’d hardly notice it over the noise of the forces, yet distant objects (galactic clusters, etc.) would be far enough apart that the pressure would be measurable.