SU(2) is the symmetry of the weak force and has a base of 3 2*2 complex matrices with unit determinant;

((0,1),(1,0))

((0,-i),(i,0))

((1,0),(0,-1))

They all square to the unit matrix;

((1,0),(0,1))

SU(2) is like an extention to complex numbers.

SU(2) compares to E2/H2={,{}}/{,{,{}}} with the state quotient SE2/SH2=2/4=1/2.

Consider the collapsing iteration of H2;

{,{,{}}}

[,{,{}}]+[{,{}},]

[,[,{}]]+[,[{},]]+[[,{}],]+[[,{}],]

The collapse of {} gives only one state [], like +1-1=0.

H2 has a 2*2 form when collapsed, like a 2*2 matrix.

As I noted before, E2=H1={,{}} compares to Complex numbers.

{,{}}

[,{}]+[{},]

Thus E2/H2 is interpreted as "E2 for given H2".

Modular group has also 2*2 form and obeys a condition similar to unit determinant.

((a,b),(c,d)) with ad-bc=1.

DNA has a similar form with 2*2 bases.

## Wednesday, April 12, 2006

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