This website teaches new mathematics consisting of two kinds of +1, two kinds of -1 and two kinds of zero which is useful for processing information about relationships, for example as in the exchange of goods and services and voting/decision making.

The website is presently structured in four parts, but will be updated regularly based on feedback from readers and new developments.

The first part explains how the mathematics used today is constructed from the presence or absence of a distinction drawn by an observer between two objects and why this construction gives rise to one absolute zero, meaning the absence of a distinction between two equal objects. It then explains how the new mathematics is constructed from distinctions drawn by two objects relative to themselves and one another. Each number has a dual, enabling the mathematics to track from both sides of every relationship.

The second part describes how the new mathematics can be used to process information about economic relationships, including exchange of goods and services and voting. It offers a vision of how the mathematics could be applied to construct technology that automatically links together people’s economic interests, thereby disintermediating the exchange of goods and services and decision making.

The third part explores areas of science where the new mathematics might provide insight or be useful for constructing models.

The fourth part describes a game invented early in the development of the new mathematics. The moves in the game are based on the properties of zero and relate these to states of ownership of token spaces and to the different ways in which the flexor and extensor muscle antagonist pairs of the left and right sides of the body can be coupled together.

The objective of the chiralkine project is to motivate students, scientific researchers, social entrepreneurs and government agencies to experiment with the new mathematics and prototypes that apply it. Invitations to speak, provide workshops or generally participate in activities at schools, colleges, universities and scientific societies are warmly welcomed.