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10-23-2005, 02:21 PM
As the classifications of several known algebraic structures, the special Hadamard matrices used for spacetime quantization are all classifiable as semigroups with only the property of associativity for both operations of addition and multiplication. Although these special types of Hadamard matrices are not invertible (zero determinants), there still exist unique zero matrices as the identities of addition. The advantage of these special Hadamard matrices over other algebraic structures is their commutative property under the operations of both addition and multiplication.
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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