# Exchange

This section describes how the new mathematics could be applied to automate the exchange of goods and services.

It is envisaged that an apparatus could be constructed that would interact with cellphones and delivery vehicles provided with electronic locks such that users could physically exchange goods and services with one another without using any imaginary stores of value.

Exchange prototype: chiralkine exchange login screen.

The exchange prototype contains two marketplaces for kinds of food, one for offers and one for wants.

Users can visit either markeplace, because the system treats buyers and sellers symmetrically.

The mathematics ensures that all users clear their offers and wants, so that no trade imbalances build up. In the following example, a seller and a buyer transfer ownership of carrots stepwise from one to the other by coupling the steps to the direct transfer of bread from a third party to the seller and the direct transfer of peas from the buyer to another third party.

In a real life situation, the carrots could be transported from seller to buyer by a drone containing an electronic locker that would lock the carrots away when the seller’s and buyer’s states go from green to yellow, and would unlock to the buyer only when the seller’s and buyer’s states go from blue to green.  For example, the system could send the  buyer’s mobile phone a bar code key which the drone could scan and respond to.

In a cycle of exchange, it is as if pairs of users create left handed money and right handed money, exchange one kind of money for another with third parties to effect transfers and then redeem the exchanged left handed money and right handed money.

These new kinds of money are simply information: they have no intrinsic value. Each state change involves an exchange interaction that permutes the polarities in the numbers, as if cubes are being rotated from one face to another.

The exchange interaction can be perceived as tokens moving to empty spaces, like a currency changing hands, such that one polarity is perceived as something ( a token: 1) and the opposite polarity as nothing (an empty space: 0), but no current of physical particles actually flows when an exchange interaction takes place.