This is the system of levels I have used in my fiction. It is based on the idea that the feelings associated with compatibility are like the human senses — they show a logarithmic response. Two sound twice as loud, the actually sound energy must be much greater. To make this easier for the reader I have used base 10 logarithms, but I don’t know how realistic that is. The image below summarizes my notion that compatibility is related to pool size: the large the pool of candidates to choose from, the more compatible the best will be. Red arrows represent incompatibility — at the more negative levels outright hostility.
Like all truly advanced technology, these solutions to social problems will involve a lot of math, but must not require users to have special knowledge or skills. Programmers are invited to help with the development of open source libraries for applied social mathematics.
Non-technical accounts of all these topics as well as accessible accounts of the underlying math are on the front pages of a network of associated websites.
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