If the fiscal theory is correct

We mean all levels of government sell goods in a legal currency.With that assumption we require legislatures well proportioned, vertical and horizontal giving a government chain at non reducing entropy.

Then, the central bank currency process is two color. The goods production has stable, known variation, large though it be. There is no better estimate of the government channel, no need for three color. In this case the currency function will be the first to notice the crossing of the bounded variation from the loan and deposit queues.  Bankers get the interest swaps, voters get a clue.

To the extent guv is kiltered, like very asymmetric provinces, the two color with congested entry and exit will hedge the imbalance, not necessarily to governments favor.  The  tri lemonaders end up three color, done badly.  Long, sparse sequences to completion subject to hidden accumulation of currency insurance.

So in these chains, these tradebook errors become the conserved, fixed quants of account. They flow by using a container algebra about the fixed carrier quant.