epic epic stuff:)
could be!
really, i see a need for a second blockchain for bitcoin bills. an "authority" has to observe the transfer from bitcoins to "papercoins" and back somehow. the "authority" can also be distributed. the money supply has to match against each other between the two blockchains. at the moment "papercoins" would be behind with money supply but this doesn't matter because the need for "papercoins" is low but could be raised in the future. exchange rate is 1:1. if you "transfer" bitcoins into "papercoins" the bitcoin amount would be frozen like a lost wallet. the amount is now on the "paperbill". you can change it with trust together with other parties. if you want to transfer the amount online you have to change back "papercoins" into bitcoins 1:1. then the amount of money is available in the bitcoin network and the bill is destroyed. very similar like central banks deal with cash.
"Papercoins" as you put it are traded purely by trust unless you use a
Bitcoin Checkbook which is treated like any bitcoin transaction.
goal should be to manage bitcoin bills completely offline until you will transfer the amount via bitcoin network. there should be no need for a receiver of bitcoin bills to convert it to bitcoins until he will transfer the amount to anywhere online. concept of
Bitcoin Checkbook has the need to check the loaded amount online to trust into it.
EDIT: reason for the need to be completely offline for a while could be a natural disaster, a war or something other where an online access is not possible. in this case you can take your bitcoin bills with you at least.
EDIT2: intention is to fit this requirement
How would one verify an offline wallet, OFFLINE?