Heisenberg Uncertainty Principle Bruised but not Broken


BaalChatzaf

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Using a technique called "weak measurement"  the limits of determination of position and momentum has been squeezed in a bit. Please see http://www.bbc.co.uk/news/mobile/science-environment-13626587 for a non-technical  description of the experiment.   For a more technical  description see  http://iopscience.iop.org/article/10.1088/1367-2630/12/9/093011/pdf  It is still the case we cannot  determine the exact location of (say) an electron and its exact momentum concurrently  but using "weak measurement.  We  can have multiple electrons  at an exact spot and we can estimate average momentum of the population with much less standard deviation  than is specified in the classical Heisenberg Uncertainty Principle.  Classically if we knew the exact location of the particle  it could have -any momentum-.  Locating the particle exactly would mean the momentum could be anything (totally random).  The experiments described here reduce the randomness of the estimate of momentum.  It would seem Uncertainty is not quite as Uncertain as was previously supposed. 

See also  https://futurism.com/heisenberg-uncertainty-might-be-wrong/

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8 hours ago, Brant Gaede said:

I've never understood how micro uncertainty gets logically transliterated into macro uncertainty. And micro seems tentative and macro not (in many respects).

--Brant

One does not notice uncertain for large or massive objects because the Heisenberg Constant is very small. 

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4 hours ago, BaalChatzaf said:

One does not notice uncertain for large or massive objects because the Heisenberg Constant is very small. 

So, is it relevant, and if so, why?

--Brant

irrelevant today doesn't necessarily mean tomorrow

please--GPS yes or no it's all the same, so transcend GPS, (please)--assuming GPS has something to do with Heisenberg

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1 hour ago, Brant Gaede said:

So, is it relevant, and if so, why?

--Brant

irrelevant today doesn't necessarily mean tomorrow

please--GPS yes or no it's all the same, so transcend GPS, (please)--assuming GPS has something to do with Heisenberg

The atomic clock (based on the cesium atom  is described by quantum field theory). See:  https://www.livescience.com/32660-how-does-an-atomic-clock-work.html

That is what gives GPS its resolution however what enables one to determine  their position to within 10 feet  is the time effects  described by both the Special Theory of Relativity and the General Theory of Relativity.   We learn from Special Theory that  a clock on a moving body runs slower than a clock at the observer's position.  On the other hand a clock in a weaker gravitational field ticks faster than a clock in a stronger gravitational  field.  One can mathematically combine these effects  to determine the exact distance a GPS satellite is from any point on earth.  Determining the position of 4 of the GPS satellites enables one to "triangulate"  his position on the ground.   Do between a Cesium clock and both of Einstein's theories  we can figure out where we are on Earth. 

One second is defined to be 9,192,631,770 oscillation cycles between two hyperfine states of a cesium atom. So a second can be resolved almost to within one part in 10 billion. No mechanical or electronic clock can keep time that well. 

I would like to see a metaphysician (a philosopher who does metaphysics)   come up with anything as nifty as the GPS   and its related theories and technology.

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