It is a buyers and sellers market for miner services

 In the final analysis our bearer cash version of bitcoin is a market, miners selling services by the batch, they are supply. The consumer, who needs to pay forty bills a month, buys in advance and they are put on lock chain, not main chain. This is a futures market for ledger services. It is value added chain.

There is a minimum, a Planck, it is the ad hoc uses of cash for the typical retail transactor.  At some small number the user may as well go on the big chain.  The minimum count is about five, is my guess. 

So, I have a big fund, my clients want bitcoin to hold and spend. Fine, I lock up 150 million in a bitcoin ledger at current rates, and accept the reservation of reversion fee. Great, I pass on those future miner fees to the client, but my firm is the miner who locked.  My clients will deal with counter parties when they spend the coins, and the counter parties will leave a claim on the locked account. The local blockchain can be anonymous but must be viewable by counter parties. The counter parties will validate the bearer cash tree, checksum it and sign it in the locked account, making another miners fee claim in the process.  

Miners are accumulated by proof of stake, they will run the partitions at maximum entropy and maximize fees.  There is a natural sharding using this method. I got this idea from looking at Polkadot denominations and wondered how those denominations would arrive naturally. This idea is perfect for bitcoin, makes it compete with Swift, really.

The merchant will simply hie a trusted miner and send all bearer bitcoin there. That miner has to either validate or compute a short block chain, maybe two or three levels deep at the most. But it has to locate all the bearer cash, so it has to be a block chain miner that track locked accounts. It can look up the block chain node and manage the short chin inside, recovering an update of the local chain for itself.  That then is the longest path through the short cash chain. And one of the vested miners will force the resolution on timeout or on count. The whole process very smooth, and can be run on the side without disturbing the existing block chain. This can be done with any of the new monetary systems, it is a general method, creates optimum monetary partitions.

It is the dual network of the S/L connected network. Literally the result of changing nodes to links and visa versa. The one is cash in advance, the other is interest charges in advance. But both should have the same market uncertainty, carry the same rank as a generator.  They are expected to mix well in sandbox.

We need the timeout.  This is finite, it has to end and clear the block chain, otherwise a huge unseen back log will foul the system. Everything clears in the sand box, infinity is not our friend.