Anthropologists will also attest that men when passing each other do so face to face, in order to keep order: left leads, the right primed for trouble behind. Women, on the other hand, tend to face away when passing others. Which encourages men to pinch their bottoms. Off Topic again, but people walk on the side they drive. Approach Swiss people from the left and it'll cause all manner of confusion
If you're right handed you're more likely to keep a grip with your left, freeing your right. As it's preferable to brake suddenly on the rear to minimise going over the top, left it is.
I'll leave it to you to decide which part of that I just made up.