This list just hit an all-time low. On a quantum level, or to the naked eye? 2008/2/1 Marc Guido <[log in to unmask]>: > This list just hit an all-time low. > > > > ---------- > > Marc Guido, Editor > > First Tracks!! Online Media > > 3018 Sequoia Av > > Salt Lake City, UT 84109-2327 > > V: 801.634.5896 Skype:marcguido > > Toll-free voice & fax: 866.293.9107 > > [log in to unmask] > > www.FirstTracksOnline.com > > www.UtahSkiAndSnowboard.com > > > > *From:* Vermont Skiing Discussion and Snow Reports [mailto: > [log in to unmask]] *On Behalf Of *Dana Dorsett > *Sent:* Friday, February 01, 2008 1:37 PM > *To:* [log in to unmask] > *Subject:* Re: [SKIVT-L] ???? > > > > Rachel Rose [[log in to unmask]] writes: > > >last itme i checked the laws of physics there was something about not > being able to be in two places at once. > > >Maybe that also explain why you haven't seen me. i'm where i am and > you're where you are...not one and the > > >same place. > > Or maybe you're rilly rilly tiny and movin' rilly rilly FAST!?! > > Last time I checked the laws of physics: > > Locating a particle in a small region makes the momentum of the particle > uncertain, and conversely, measuring the momentum of a particle precisely > makes the position uncertain. > > In quantum mechanics, the position and momentum do not have precise > values, but have a probability distribution. There are no states in which a > particle has both a definite position and momentum. The narrower the > probability distribution is in position, the wider it is in momentum. > > A mathematical statement of the principle is that every quantum state has > the property that the root-mean-square (RMS) deviation of the position from > its mean (the standard deviation of the X-distribution): > > times the RMS deviation of the momentum from its mean (the standard > deviation of P): > > can never be smaller than a small fixed multiple of Planck's constant: > > The mathematical statement implies the physical statement. Once an > observer measures the position of a particle with accuracy Δ*X*, the state > of the particle immediately after the measurement has . > > The uncertainty principle is related to the observer effect, with which it > is often conflated. In the Copenhagen interpretation of quantum mechanics, > the uncertainty principle is a theoretical limitation of how small the > observer effect can be. A precise position measurement must alter the > momentum by a large indeterminate amount and vice-versa. > > While this is true in all interpretations, in many modern interpretations > of quantum mechanics (many-worlds and variants), the quantum state itself is > the fundamental physical quantity, not the position or momentum. Taking this > perspective, while the momentum and position are still uncertain, the > uncertainty is not just an effect caused by observation, but by any > entanglement with the environment. > > So, where the lleh are you (and how fast are you goin')? > > (Sure wish it were snowing hard instead of R**Nin' hard! :-( ) > > dana > > _____________ ________ __ > > __ /________ ________ ___ > > __( ________ __山スキー!_ > > ___\ ________ ________ __ > > ____) ______ __________ _ > > ___/ ______ ___________ _ > > __( o ____ __________ __ > > __ \(|\.____ _______ ____ > > ___`\>/______ ____ ______ > > ____ \` ______ __ _______ > > ______`________ _ _______ > > _______________ __ ______ > > - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - SkiVt-L is > brought to you by the University of Vermont. > > To unsubscribe, visit http://list.uvm.edu/archives/skivt-l.html > - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - SkiVt-L > is brought to you by the University of Vermont. > > To unsubscribe, visit http://list.uvm.edu/archives/skivt-l.html > - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - SkiVt-L is brought to you by the University of Vermont. To unsubscribe, visit http://list.uvm.edu/archives/skivt-l.html