genus and intrinsic spin

[AntonioLao]

Multidimensional surfaces possess a topological invariance property called genus. See http://mathworld.wolfram.com/Genus.html. On the other hand, elementary particles possess an intrinsic physical property called spin. However, while genus is represented by integer numbers, spin can be represented by rational numbers for distinguishing both half-integer spin fermions and integer spin bosons.

There must be a connection between these properties: a mathematical property and a physical property. A first guess would be that genus equals twice the spin. For a particle of spin zero its genus is still zero since 0 times 2 is zero. For a particle of spin ½ its genus is unity. For a particle of spin unity its genus is 2. For a particle of spin 3/2 its genus is 3. For a particle of spin 2 its genus is 4.

[mkirkpatrick]

That's a good as guess as any I'm sure.Prehaps what's links
them is consciousness.



regards michael.

[AntonioLao]

Then it is the same as consciously weighing two alternatives as good or bad for every action taken. Spin twice and get one genus.