We can shard any ledger, as long as the ledger obeys account lock up, and the miners for the particular ledger run a fair fee service.
Block chain is a great example. I can down load the miner's code, then be a miner and lock an account for a time period, reserving market fees in advance. Anyone on my shard, uses my bearer cash (or short chain public ledger) and has free exit, by paying chain fees, or forced exit on prepaid timeout. All transactions are proof of stake, dual trusted miners, with claim to prepaid miner fees. The founder of the shard is taking slightly over half the fees, and each party has its own trusted miner, or acts as its own miner.
The founding shard, as a miner, or having purchased a miner, is taking miners shares from the market, locking them up in a limited bandwidth. All miners know the shard will close shop and appear with the longest chain and get the greater fee on the main chain. The effect is to make that particular or any othe ledger as liquid as possible absent the secure ID card. This method include exchange reversal needed for 'fails to deliver' on ledger swaps. The result is a competitive monetary system and no party has an inherent advantage.
Buy up shards on the run
If you bit count is big then look over all the shards coming due in a certain period. But them up. For a bitcoin market price the locked account is sold, along with prepaid fees, to the larger account. Maximum entropy aggregation, the buying account has a chance to reap more than paid on miners fees when all the shards revert. A lot like option pricing.
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