What is a trilemma?

 An aggregate trying to do triple entry accounting when double entry is only available in the markets.

If you reducer the problem to pit bosses and traders it become clear, the traders crowd out the pit boss from reading the peg. Traders come from capital flows, and the pit boss trying to set rate simultaneously, it is impossible to stabilize the ledger. The pit boss does not have the sample rate, unless all the pits were triple entry. If the trades were tri party then all traders slow down letting the pit boss stay one step ahead and keep the ledger.

The solution comes when I pretend this is all automated bots on a graph, in essence. A probable istice version of spin on a lattice. ,Homo economicus, (the trader) has one motive, do not be third in line in a double entry trade, do not be fourth in a triple entry trade, and so on.  For computer folks this is exactly stable protocol theory. The nodes are trading pits, sort of trade books which keep the most recent, finite history of trades. This never remembers back more than a few steps, it relies on traders to come prepared.

Queuing theory on the nodes bridges the gap with spectral theory and leads us back to fractional approximation and that gives us relative prime theory, this is neat stuff and mathematicians need to jump on this and makes bucks everywhere.