On 4/26/2020 9:24 AM, Alan Grayson wrote:


On Sunday, April 26, 2020 at 9:48:45 AM UTC-6, John Clark wrote:

    On Sat, Apr 25, 2020 at 12:49 PM Alan Grayson <agrays...@gmail.com
    <javascript:>> wrote:

        /> How does QM tell us that conservation of energy can be
        violated for brief durations? If you apply the time-energy
        form of the UP for your proof, please state the context of
        your proof, that is, exactly what do E and t stand for./


    The shorter the time (t) a system is under observation the larger
    the amount of energy (E) could pop into existence from nothing
    without direct detection, enough energy to create virtual
    particles. And you can calculate how large the indirect effects
    these virtual particles would have on the system.


As I understand the UP, it's a statistical statement about an ensemble of observations, say for position and momentum of identical particles. It says nothing about the result of events, say for the position and momentum of a single particle or event. Doing some arithmetic to get the time-energy form of the UP does not change this reality. As a result, your description of what happens to a single particle, virtual or not, is not intelligible. Please try again. AG

The UP doesn't apply to virtual particles because it refers to the result of conjugate measurement (projection) operators.  You can't measure virtual particles.

Brent

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