On Sunday, April 26, 2020 at 1:46:59 PM UTC-6, Brent wrote: > > > > 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 <[email protected]> >> 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 >
In its usual form, does the UP allow us to measure position and momentum *simultaneously*, or must we measure each variable independently (for an ensemble of identical particles, of course)? What is proper interpretation of the time/energy form of the principle in statistical terms? TIA, AG -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/5686bd70-6005-4e2c-872a-541ef0b27e20%40googlegroups.com.
