Lets make a BTC stable coin

 Anyone can lock their bitcoin account and have the account manipulated as a stable BTC coin.

As a stable coin the first five miners that consent to  stable coin switch make the transfer on the local chain, but it is finite. The local chain will revert the main block chain account, in time or space,  The local mining fee shared, the global mining fee as is. 

But all BTC miners recognize the blocked account.. This is great for smaller BTC purchases. This introduces the possibility of miner collusion, yes. But the receiver account hold can get first shot by going through its own trusted miner, maintain its own internal congestion. Miner collusion is not worth it, processing fees are an easy adjunct to their business and they get access to exchange fees on the master. Chain clearance is swift, almost bearer cash. Great, simple idea to expand BTC beyond currency exchange.

The stable coin theory and maximizing entropy

My stable coin partitions the block chain into partitions. These match denominations. And what else? They block chain should be maximum entropy, as long as my limits and timeouts are adjusted for maximum flow.  Here I am merging S/L and block chain! Who woulda thought? 

But the network becomes sacked, has a hierarchy in the z direction. The top are whole sale BTC exchanges, below are moderate rate, moderate sized, down to the smallest denomination.  They are maximum entropy in that the number of miners needed is -iLog(i) in total percentage of miners transactions need to settle the entire pyramid. The log(i) the typical amount transacted at that level.  In total, then, when that is that maximized, the miners are making the most money and the BTC is the most popular thing on this earth.  We have probably minimized the partition between ledger and S/L as can be had.

So we can see the connection, this is run time Huffman encoding in distributed fashion. The solution presents all possible ways to use bitcoin such that miners are happy. To the miner this is optimum portfolio, at what level will they apply a validation transaction. The level with the most gain, and thus the miner balances a weighted coin, the semi independent levels of the block chain always tending to extinguish miner hedges at each level. Entropy maximizing.