Two objects are said to be coupled when they interact with one another. For example, two astronomical bodies, such as the earth and moon, can be coupled by gravity.

Chiralkine counting couples objects through an interaction between what an object is and what an object is not. It treats an object as a relationship that draws a distinction between what that object is and what that object is not. When an object is counted that distinction is erased and another is drawn. What an object is and what it is not are counted at the same time.

Chiralkine counting can also couple objects of different kinds through interactions between what each object is and what each object is not. For example, each of the earth and the moon can be treated as an object defined by a relationship between what it is and what it is not. What the earth is and the moon is not can be counted at the same time as what the moon is and what the earth is not. This entangles the distinction between what the earth is and is not with the distinction between what the moon is and is not. Two distinct planetary bodies, the earth and the moon, become a pair of earth moon chimeras. They can remain entangled until repeated counting in a cycle restores the original relationship between what each kind of object is and is not.

Chiralkine counting works in dual numbers that cycle through three mirror pairs.

Each pair results from a different way of counting one and the same object. Each time an object is counted, a record is made of the erasure of the distinction between what that object is as distinct from what it is not by drawing a different distinction.

Although it appears that each time one and the same object is being counted twice, once in respect of what it is and once in respect of what it is not, this mechanism enables the counting of objects of different kinds to be coupled together.

The coupling is not limited to objects of two different kinds. For example, the counting of one rabbit, one dog and one cat can become mixed up, as if each animal is in part itself and in part the other two.

Coupling the counting of objects together in this way enables relationships between them to be controlled quantitatively. For example, if a rabbit, dog and cat have different owners who each want a different animal, then the exchange of ownership of the three animals can be controlled mathematically without invoking the imaginary concepts of debt and credit (money). Repeated counting through a cycle can mix up what they are and what they are not, and then separate these out again so that each animal ends up being owned by the person that wants it.

In general, each of the “is” and “not” defining one kind of object can be coupled independently to a “not” or “is” defining another kind of object. Hence a dog can be coupled to both a cat and a rabbit. Furthermore, each of the two other kinds of object can itself be uncoupled or coupled to yet another kind of object.

There are different pathways from an object coupled with itself to an object coupled with two other coupled objects, but once the counting cycle has reached this state, the object can once again become coupled to itself, but with the “is” and “not” exchanged. For example, as when mine, not yours has been exchanged for not mine, yours.