Something I wrote concerning the source of our standard 4'-8 1/2" standard gauge to another site that was not railroad related, simply copied verbatim:
This one (their statement of the origin of track gauge comes from the width of a horse's butt) comes up often with variations. Think wagon wheels set on 5 feet centers with 4 inch wide iron treads. That leaves you 4 feet 8 inches. Put a vertical flange on the inside of the wheel Make the rails an additional 1/2 inch further apart so that you have a little play, and guess what! You get 4 feet 8 1/2 inches. I suspect this to be the most likely origin. Then there is little thing that this "standard" gauge is far from universal. In Russia, Ukraine and most of the former Soviet Union countries the railroad gauge is 5 feet 0 inches. In Ireland the railroad gauge is 5 feet 3 inches, which is also used in Argentina, Chile, and part of Australia. In India and Brazil it is 5 feet 6 inches. Spain and Portugal are at 1668 mm, which is essentially 5 feet 5 5/8 inches. Then there is a lot of 3 feet 6 inch gauge track, like Japan, Taiwan, New Zealand, part of Australia, etc. Thailand, Malaysia, the narrow gauge lines in India and surroundings and most of the former French colonies in SE Asia have meter gauge track (3 feet 3 3/8 inches), (Vietnam, Cambodia, etc.) There has also been some 3 feet 0 inch gauge track in mountainous regions in quite a few places, like in Colorado and Yukon and probably a few other places.
By the way, the extrapolation that the Space Shuttle booster diameter is based on track gauge is completely bogus. The space between rails has nothing to do with it. It is the space to walls, adjacent tracks, bridge piers, overhead bridges, tunnels, etc. Even though the track gauge in the US is the same as it is in most of Western Europe, there is no way you could haul the space shuttle units on their railroad system because of their much closer and lower clearance standards.