Observables, in general, have been shown to not commute, contra the Classical assumptions of observables.

On Tue, Dec 17, 2013 at 12:27 AM, meekerdb <meeke...@verizon.net> wrote: > On 12/16/2013 6:54 PM, LizR wrote: > > On 17 December 2013 15:50, meekerdb <meeke...@verizon.net> wrote: > >> I don't see that it follows. Just like Shannon's information and >> Boltzmann's entropy, the domains are very much related so it's no surprise >> that we can carry over some math developed for Newtonian physics and apply >> it to quantum physics. After all the former should be a kind of >> statistical mechanics of the latter. >> >> Again, I may have been misinformed. I was under the impression that > matrix mechanics and the Schrodinger equation and so on were rather > different from anything in Newtonian physics (although part of the same > mathematical system). Is that not so? > > > Sure. But matrices already existed, Heisenberg however extended them to > infinite rank. Schrodinger's equation was just a partial differential > equation, one of several he tried out as possible model's of quantum > systems. The concepts of energy, momentum, and angular momentum were > carried over from Newtonian mechanics because Noether's theorem shows they > are necessary in order that the theory not refer a special time, location, > and orientation - attributes WE insist on because we want generality, not a > physics of Genoa and a different physics of Stockholm. > > And besides the Schrodinger equation and matrix mechanics were both > developed by physicists to model specific phenomena. I thought you were > going to defend the view that the mathematics was just lying around for the > physicist to pick up out of the mathematical universe. Your examples seem > to support my view that mathematics is just stuff we invent. > > Brent > > > (I wouldn't have expected the domains of hydrogen atoms and billiard > balls to be as closely related as information theory and thermodynamics, by > the way.) > > -- > 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 post to this group, send email to everything-list@googlegroups.com. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- > You received this message because you are subscribed to a topic in the > Google Groups "Everything List" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/everything-list/1NWmK1IeadI/unsubscribe. > To unsubscribe from this group and all its topics, send an email to > everything-list+unsubscr...@googlegroups.com. > To post to this group, send email to everything-list@googlegroups.com. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/groups/opt_out. > -- Kindest Regards, Stephen Paul King Senior Researcher Mobile: (864) 567-3099 stephe...@provensecure.com http://www.provensecure.us/ “This message (including any attachments) is intended only for the use of the individual or entity to which it is addressed, and may contain information that is non-public, proprietary, privileged, confidential and exempt from disclosure under applicable law or may be constituted as attorney work product. If you are not the intended recipient, you are hereby notified that any use, dissemination, distribution, or copying of this communication is strictly prohibited. If you have received this message in error, notify sender immediately and delete this message immediately.” -- 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 post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.