On Jan 6, 2009, at 7:24 AM, Phil Henshaw wrote:
Saul,
On first glance it appears that Noether's theorem is quite similar
to mine,
but just does not take it to the next level.
I'm sure you don't mean to put yourself in the same class as Emmy
Noether, right? She's of the same historic stature as most of the
early 1900's best scientists, and her symmetry discoveries surely
should have won her a Nobel.
http://en.wikipedia.org/wiki/Emmy_Noether
Its hard to imagine a "next level" for her work in this context!
Start here:
http://en.wikipedia.org/wiki/Noether%27s_theorem
and let us know where to extrapolate to get to your theorem.
My similar theorem starts
from extrapolating the three conservation laws for energy flow as a
hierarchy applying to all derivative levels, apparently like Noether
seems
to do. Taking that another step finds that the whole hierarchy of
separate
laws becomes one unified law of continuity in energy flows. The
particular usefulness of that is to then work backwards from the n'th
derivative to observe that the form of equation for the beginning
or ending
of any energy flow is a developmental sequence which has all
derivatives
real and of the same sign for a finite period as a necessity for
avoiding
infinite accelerations and energy densities.
Can you formalize this in the same way Emmy did? That certainly would
put your work on the map big time!
Sorry if I appear reactionary, but my Quantum Electrodynamics teacher
spent many a patient hour letting us get a peak of just how ground-
breaking her work was and how it was used by generations of physicists
as a means of tackling problems that were otherwise intractable.
I'm not sure of the details of Murray Gell-Mann's work leading to the
Nobel, but I suspect Emmy was needed to pave the way.
-- Owen
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