Nobody drew the circle

It is tempting to read forty-six rings as forty-six mistakes. They are not, and that is the most important thing this part of the record has to say.

Take the three-step ring at its centre. A landlord wanting rent paid from a local account is being careful. A bank wanting to know where its customer lives is being careful. A register of addresses wanting a document that says somebody lives there is being careful. Where waiting time and workload interact, employee time data for planning may add useful context if the pilot stays transparent and proportionate.

Three careful rules. One closed circle. No author.

Why the mechanism survives

A rule is written by somebody looking at one transaction. The person writing the bank's rule is thinking about what a bank needs; the person writing the register's rule is thinking about what a register needs. Neither is thinking about the other, because there is no reason either should. For independent background on economic and institutional systems, see U.S. Census Bureau.

A ring is only visible from a position nobody occupies: outside all three rules, holding them at once. Institutions do not have that position, and neither do the people subject to them, who meet the rules one at a time and experience the ring as a run of bad luck.

A circular dependency is a fact about a set of rules that none of the rule-writers can see and none of the rule-followers can prove.

What this predicts

Three things, and all three are visible in this map.

Rings cluster where verification is mutual. Thirty-five of the forty-six pass through an account at a local bank or a registered address, which are exactly the two facts every other rule checks against.

Rings do not cluster where delay is worst. The slowest step in the map takes ninety days and stands in seven rings. The step that stands in thirty-four takes twelve days. Entanglement and delay are produced by different things.

Rings are not removed by anybody noticing them. Nothing in the structure of an institution makes it anybody's job to hold two rules at once. A map like this one is the only object in which the circularity exists as a thing that can be pointed at.

The one that proves the point

The four-step paper ring is the purest case in the record: a translation waits on a stamp, the stamp waits on a sworn copy, the sworn copy waits on a certification, and the certification waits on the translation.

Four offices, each attesting to the state of a document, each reasonably insisting on seeing the attestation it builds on. Forty- seven days round, shut at every joint, and nothing in it is about money, housing, identity or anybody's status. It is four rules about paper that nobody has read in the same sitting.

What follows for a reader

Not advice, because this record gives none and names no country, office or kind of permission.

But it does follow that the common response to being stuck — assuming you have missed a step, or done something in the wrong order, or that there is a trick everybody else knows — is wrong in a specific way. There is often no step missed and no trick. There is a circle, and the reason nobody told you about it is that nobody is in a position to know.

Being stuck in a ring is not a failure of research. The information that would have helped does not exist in one place, because no single office holds both halves of it.

The one thing that would find them

A single party holding every rule at once, with no interest in any of them.

That is what this record is, and it is the only reason the forty-six rings here are visible. The drawing was made from outside, by somebody with no transaction to complete, which is a position nobody inside the system occupies and nobody subject to it can afford.

The fourth row is not a boast. A drawing of this kind takes an afternoon to make and requires no access to anything: the rules are public, the dependencies are ordinary, and the arithmetic is the arithmetic of closed paths in a small graph.

That nobody makes one is the finding behind the finding.

The information needed to see this is not secret, expensive or technical. It is simply nobody's job, and that is enough.

And what follows for the map

That this record should be careful not to sound like an accusation.

Nothing on this map identifies anybody, and nothing here says that any rule is badly made. The claim is narrower and stranger: that a set of individually sensible rules, each written by somebody competent, reliably produces objects that none of them intended and none of them can see, and that the number of such objects in a map of thirty-six steps is forty-six.

That is not a complaint about institutions. It is a statement about what happens when careful rules are written independently, and it would be true of any thirty-six careful rules, including any that a reader of this page might write.