| subdomain axioms
For the pv and nv subdomain the following 9 axioms can be introduced. These are limited exclusively to four LOEs: 1, 2, 3, and 4.
1. H’s of different levels cannot interact. Unless a symmetry breaking mechanism exists.
2. The H’s are Hadamard matrices and matrix addition and multiplication apply.
3. The addition of H’s gives the physical reality of spacetime charge.
4.The multiplication of H’s gives the reality of mass.
5. Both addition and multiplication are commutative.
6. The order of the matrix is equivalent to the dimension of each LOE
7. Spacetime quantizations proceed along multiples of 3 matrix indices. (ijk) represents 1st quantized state. (ijklmn) represents 2nd quantized state. (ijklmnopq) represents third quantized state. (ijklmnopqrst) represents fourth quantized state.
8. Each index takes on values between 1 and infinity.
9. H°(ijk…) exists where H+(ijk…) + H-(ijk…) = 0. That is H°(ijk…) = 0 and the absolute value of H+(ijk…) and H-(ijk…) is 1/6.
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Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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Linear Mode
