Wednesday, May 28, 2014

Something strange in the uncertainty business

The Heisenberg uncertainty value should be unit less, yet all I see are engineering units. As near as I can tell, the vacuum can measure the Compton wavelength with a deviation cubed  of 9.22e-5, a unitless value, and the precision of light. We have measured light to a deviation of about 5e-4.  We know Planck to a precision of about 1e-5, (relative to the multiplicative identity), and that is a measure of energy, or the cubed of deviation. So precision all seem to agree, more or less. All of these precision should be deviation cubed, energy, as that is all we can measure, energy.

There is no other error to measure.  Even the theoretical idea of the uncertainty principle has to rest on the speed of light.  What is Heisenberg saying?  The current engineering approximations are limited by error. Yes, so what does that have to do with the precision of the vacuum? Heisenberg says we have to extract energy to measure something, and he may be right. But no need for the engineering approximations, take the deviation cubed, multiply by sqrt(2), and you have the energy combined variance  between two energies reacting. It is still a unit less number, a statistical measure.

Here is how they define Planck. In each case, they have, correctly, taken the number in parenthesis, and transformed it through all the know laws of physics and produced the precision in the units of physics.  But ultimately, the precision in the engineering units is derived through the speed of light, and the number in parenthesis was derived from measurements using the speed of light.

The value of the Planck constant is:[1]
h = 6.626\ 069\ 57(29)\times 10^{-34}\ \mathrm{J \cdot s} = 4.135\ 667\ 516(91)\times 10^{-15}\ \mathrm{eV \cdot s}.
The value of the reduced Planck constant is:
\hbar = {{h}\over{2\pi}} = 1.054\ 571\ 726(47)\times 10^{-34}\ \mathrm{J \cdot s} = 6.582\ 119\ 28(15)\times 10^{-16}\ \mathrm{eV \cdot s}.
Putting this into engineering units, 2e22 bubbles can fit themselves into a sphere and the number of bubble types will be balanced to 1/1000th of a bubble. The sampling error for quants is lower than the sampling error of light, by bubble design, a result of minimum redundancy bandwidth management. So they do not use all the accuracy of bubbles to make one sphere, but if they wanted, they could do it. Now my number seems to agree with the lifetime of the proton at 10e34 years, a very long time. And I can say no error in the 107 wave number exceeded 1/2, three sphere packing is extraordinarily accurate. That is why Planck comes out do small in all the engineering units, all the engineering laws are about sphere packing with mass and two phases of charge.

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