This is the same thing Mash107 said. Why is it so much to ask to explain how this "free market" alternative to the Fed will work?
I'll make it simple. I go to Mcdonald's to buy a big mac. Or Walmarts to buy a hammer. What do I sue to pay for it? How is it priced?
If the answer is "with dollars" then: Who creates the dollars and controls the number of dollars in currency?
Well you could have dollars created by private entrepreneurs and so long as their currency remains sound then it would be in demand. Since a dollar would simply be a claim to some sort of commodity, i.e. gold or silver, then you could price your products in accordance with that commodity and accept that number of dollars instead of the actual commodity. What that commodity is would be decided by the market, but history shows that gold and silver are the best choice.
How on earth could you possible have a sound currency when anyone can print up as many dollars as they want? That is utter nonsense.
If you are instead claiming a gold standard (with all its faults and limitations), then who decides how many dollars per unit of gold?
You can't have a market "system" where Iriemon bank can decide how many dollars to print or what the gold standard is.
It is simply unworkable. It is chaos. The end result would be just one or two super big banks would end up controllng the currency (because no one would want to trade dollars with anyone else) and if you thank the evil bankers control things now, yours is a recipe for real control by the bankers, who would have control over the currency, as opposed to the Fed, which is a quasi-government non-profit agency.
I'd recommend reading
What Has Government Done to Our Money? by Murray Rothbard, which is available for free online at the Mises Institute.
What Has Government Done to Our Money? - Murray N. Rothbard - Mises Institute
Dude, respectfully, I'm not going to spend 5 hours reading a 110 page report. If I had to take the time to read every book someone cited I'd never get anything done.
If you don't understand the system you are proposing well enough to explain it to discuss it, just say so and we'll move on. But I for one am not about to give up a system that has served us pretty damn well for the last 60 years for a system that someone can't even explain.