[Cryptography] Quillon Graph: A private, post-quantum electronic cash system

[jrzx]

The capability to order and prove the validity of a very large number of transactions per second implies that, at the intended scale (replacing the fiat money in the world as a whole) there will be an enormous amount of data.
Since the system relies on concise proofs, in theory no everyone should need to keep everything around, not everyone needs to prove the validity of every transaction, and to do so would violate the privacy promises.

How does the system's local peer storage and bandwidth scale under enormous numbers of transactions.  How much network bandwidth, storage, and processing power does a full peer need when there are enormous numbers of transactions?

With only limited bandwidth and processing power in any one peer, how does a very high number of transactions get a total order?  Do they get a total order?

I don't see that total ordering can scale to the required or claimed size?  Is it perhaps a partial order -- that all transactions in one group are later than the previous group and earlier than the next group?
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