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 <agrays...@gmail.com> >> 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 everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/5686bd70-6005-4e2c-872a-541ef0b27e20%40googlegroups.com.
