Ken Crandall Blog

Musings about the quantum world of the very very small, ham radio, and of course, South Park.

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Location: Sunnyvale, California, United States

I'm an optimist, skeptic, and problem solver. I think it's all out there in front of our noses, waiting to be noticed.

Wednesday, April 07, 2010

Eigen Zeit

It seems logically consistent to obtain a measurable time in the same way one obtains a measurable location: by finding the eigen value of the location operator. The only twist is that time is the imaginary part of the eigen value. Why restrict the world to Hermitian operators with real eigen values? Let the operator have a complex eigen value so it yields not only the x location as the real part, but the x time as the imaginary part. Thus, there are six natural location observables in a stationary state: x+icu, y+icv, and z+icw . . . three spatial and three temporal. Indeed to great accuracy, t/sqrt(3)=u=v=w where t is time as we know it today. It only appears as if we have a single measure of time.

Other operators on the same wave function yield other observables in stationary states. It all springs from a single wave function with a wealth of interesting operators whose purpose is to observe various aspects of itself. Strangely, our observation is itself observable through the tracks it leaves in observing!

Must get some sleep . . .

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