I have an idea for cryptocurrency ledger. Instead of blockchain, we make two chains of transactions.
One is for mining blocks using Proof of work. Emission is infinite since there is coin destruction(see below).
The other is for sending coins. In order to prevent spam user must destroy some coins, and writing to chain is encouraged by fees to the first one who wrote it.
Questions: Can two chains be reconciled to show correct balance? Also, is fee necessary? Since there is destruction they can't keep sending the same coins back and forth. And miners still need second chain on the internet to transfer their coins.