Thursday, May 8, 2014

When engineers and physicists use imaginary numbers

They call it the complex plane, and they get two number lines and the number lines work just like dual rate encoders, and they get to use Isaac Newton's rules of calculus grammar. Great idea for designing cars, a lousy, confusing idea when doing quantum mathematics. Somewhere along the line, about the time of Einstein, we got this idea that Isaac was describing nature, not grammar.

So, we do these Shrodinger wave equations, and they do not match at the potential energy boundaries, because physicists are using force fields, which are engineering approximations. So, the result is a search for polynomials that meet the boundary conditions, they use those and drop the force concept, and they are home free.  If I start looking at these polynomials, and I know what these polynomials are, I bet a dime that they are all decomposable into the Hyperbolics. And they match the Hyperbolics at a specific order in the Tayler series, the point where we get quantum numbers.

Like these:
{\mathit{He}}_0(x)=1\,
{\mathit{He}}_1(x)=x\,
{\mathit{He}}_2(x)=x^2-1\,
{\mathit{He}}_3(x)=x^3-3x\,
These can be computed by the vacuum when the phase imbalance at the potential barriers put the bubbles in even/odd mode, and they their wave numbers differ. They can simulate subtraction at the symmetrical axis if they all have opposite phase shift, caused by the wave imbalance at the imbalanced barriers.

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