On 12/16/2013 6:54 PM, LizR wrote:
On 17 December 2013 15:50, meekerdb <meeke...@verizon.net <mailto: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.)
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