Chiralkine is a way to perform computation which works on a new principle, different from balance.

It treats an object (x) as a mirror symmetric relationship being created by drawing a distinction between what it is (x) and what it is not (X), like me and you from our respective viewpoints. It treats the interactions between objects as the redrawing of the distinction (x, X) as another distinction (y, Y). In so doing it conserves symmetry.

The principle of balance treats an object (x) as absolute, not as a relationship (x, X). It treats the difference between two objects that are the same (x and x) as nothing (0). It does not conserve symmetry.

We are used to performing computation using equations, which treat 1 and 0 as absolute objects meaning distinct, countable and the same, not countable, and the truth tables for logic gates, which treat 1 and 0 as absolute objects meaning true and false.

When we work with equations, whatever we do to one side must also be done to the other. The two sides are the same, so the difference between them is one object, nothing (0).

Working on the principle of chiralkine whatever is done to one side of a relationship must also be done to the other side as reflected back in a mirror. The difference between two objects is two objects, whether they are the same or different, because they are defined by drawing distinctions.

The meanings we construct for 1 and 0 in mathematics and logic depend upon making comparisons between the symbols 1 and 0. There are four different comparisons possible: 00, 11, 01 and 10.

Chiralkine works in accordance with the symmetry properties of four ordered objects, a, b, c and d. It was already known that four objects a, b, c and d can be ordered in rings six different ways. What was not known was to treat each object as a symmetrical relationship between what it is and what it is not: a, A; b, B; c, C and d, D. This constrains the system to rotate through three relational states as one distinction is cleared and another is drawn.

The structure of the system becomes clear when each lower case letter in the drawing above is replaced with 0 and each upper case letter with 1, but coding each ring as if the letters are maintained in alphabetical order.

This generates a cycle. This cycle is universal: it applies across all disciplines, but it has been hidden in plain sight, because we have all been thinking in accordance with the principle of a balance, which treats one side (x) of a distinction (x, X) defining an object as the object.

A chiralkined system is inherently a balanced system, but when the relational information it contains is processed in accordance with the principle of balance (equations) it will lose relational symmetry, resulting in the emergence of otherwise inexplicable imbalances.

Explore this website to discover how chiralkine works and why a system that has become unbalanced needs to be rechiralkined – not just rebalanced – to restore the relational symmetry lost through cancellation.

The chiralkine project was conceived and has always been intended to be a social enterprise, to make people’s lives better. The inventor, Martin A. Hay, can be contacted by email: martin@chiralkine.com.