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introduction to Hadamard space -
10-18-2005, 03:35 PM
Similar to the Hilbert space of quantum mehanics, Hadamard space is a vector space of two outer products or cross products or vector products then the inner product of these products give square of energy.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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
Re: introduction to Hadamard space -
12-09-2007, 12:04 AM
Antonio;
Could you please provide a link to the paper that you mention here. I notice you talk of these Hadamard matrices quite often, so I'd like to get more of a feel for them.
~neutralino
If you haven't found something strange during the day, it hasn't been much of a day - John A. Wheeler.
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