Bicycles are not a physics 101 problem. In practice this just doesn't happen. See the links I provided. You can also read more about this in the "Bicycling Science" book.
A unicycle or bicycle flipping is a Physics 101 problem. First you must lock up the wheel if you want to flip, meaning the complications of kinetic friction are irrelevant. There's a center of mass, a contact point, a velocity, and a force. You can make a free body diagram to accurately calculate if you have the speed and CG to rotate forward (flip). Newtonian physics isn't magic. Telling someone to "read a bicycle science book" just sounds like a flippant dismissive insult. You're safe to assume I'm already well studied. This is a conversation, not an insult battle. If you have a point in mind, then bring it to the conversation in plain english to be inspected under the light of day. What juicy morsel is contained in this book of yours - perhaps it will sell people on moving it to the top of their reading list. Until then it's meaningless.