| strangely imaginary -
08-22-2007, 04:20 PM
The fundamental equation that started the quantum revolution is equating the permutated differences of real conjugate variables of position coordinate Q and linear momentum P of their product to a very small imaginary constant hi/2pgiving the noncommutative relation such that QP-PQ= hi/2p where h is Planck’s constant of action and i is the imaginary unit.
Strangely, if both P and Q are real valued functions then no domain values can satisfy the relation. However, if P and Q are both matrices whose elements can be real, complex, or pure imaginary numbers then it is possible for the square of (QP-PQ) to equal a negative constant: (QP-PQ)²=-h²/4p² knowing that the square of imaginary unit is -1. To derive the square of zero-point energy is simply to differentiate twice with respect to time.
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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