A New Way To Perform Computation

What Is Chiralkine?

Chiralkine is a new way to perform computation that follows a principle different from balance. Instead of cancelling differences, it conserves relationships. It treats every object not as a fixed identity, but as a symmetrical relationship – a distinction between what it is (x) and what it is not (X).

Just as “me” and “you” are defined only in relation to each other, so too are all objects in a chiralkine system. The interactions between them are redrawings of distinctions – from one pair, (x, X), to another, (y, Y) – in a way that preserves symmetry.

The Problem With Balance

Traditional computation is based on equations, which follow the principle of balance. In this view:

  • An object (x) is treated as absolute, not relational.
  • The difference between two identical objects (x and x) is considered to be nothing (0).
  • Truth tables treat 1 and 0 as fixed meanings: true/false, countable/not countable.

This principle does not conserve symmetry. Instead, it erases the distinctions that define meaning.

By contrast, chiralkine maintains the distinction between both sides. Whatever happens to one side of a relationship must also happen to its mirror opposite. The difference between two objects is two objects, not zero, because each is defined in relation to its opposite.

A Finite Set of Meaningful Distinctions

In mathematics and logic, all meanings assigned to 1 and 0 arise from comparisons between the two symbols. There are four such comparisons:

  • 00
  • 11
  • 01
  • 10

These comparisons form the truth tables that underpin all logic gates.

But chiralkine takes these further by treating each pair as a symmetrical relationship, not an absolute value.

An object is a chiral, kinetic relationship. The relationship is being constructed dynamically by drawing a distinction between two mirror opposite sides (1 and 0). Each side self-identifies with itself as itself and with its mirror opposite as not itself, like me and you in our relationship. So 1 identifies with 1 as 1 and with 0 as 0 (truth table for XNOR) and 0 identifies with 0 as 0 and with 1 as 1 (truth table for XOR).

The Symmetry of Four Ordered Objects

Chiralkine builds on a well-known property of four-object systems:

  • Four objects (a, b, c, d) can be ordered in 3D space in two mirror-opposite (chiral) ways — like your left and right hands.
  • These arrangements form a group of Order 4.
  • This group has six generators (unique relational orderings).

What chiralkine newly contributes is this: it treats each object as a pair of opposites – e.g. (a, A), (b, B), (c, C), (d, D). This constrains the system to rotate through three relational states, as each distinction is cleared and another drawn.

From Distinctions to Cycles

When we replace each lower-case letter with 0, and each upper-case letter with 1 – but code each ring as if the letters remain in alphabetical order – we reveal the hidden cycle.

This cycle is universal. It applies across logic, computation, matter, and meaning – but has remained hidden because our systems rely on balance, which treats only one side (x) of a distinction (x, X) as meaningful.

Whereas counting is a two step process when performed on the principle of balance: (uncounted set: 1 – 1 = 0, counted set: 0 + 1 = 1), it is a three step process when performed relationally: (1a → 1B → 1c → 1A when 1A → 1b → 1C → 1a), which ensures that the symmetry of any relationship defined by 1a, 1A (for intuition, think for example of a creditor, debtor relationship) is conserved.

What Happens When Symmetry Is Lost?

A chiralkined system is inherently relationally balanced. But when processed using the principle of equation-based balance, relational symmetry is lost. This leads to the emergence of otherwise inexplicable imbalances – in logic, in economics, and in physical systems.

Why Rechiralkining Matters

To restore these lost relationships, a system must be rechiralkined – not merely rebalanced. Rebalancing erases distinctions. Rechiralkining redraws them.

The Chiralkine Project

The chiralkine project was conceived – and has always been intended – as a social enterprise: a tool to make people’s lives better by restoring relational meaning to the systems we rely on.

Contact: Martin A. Hay
📧 martin@chiralkine.com 👉 Explore the rest of the site to see how chiralkine logic applies to physics, economics, computing, and more.