Re: Big Bang -- Maths

Tony Hollick (anduril@cix.compulink.co.uk)
Sat, 22 Nov 97 08:10 GMT0


In-Reply-To: <3.0.1.32.19971120231530.00bb8320@shell9.ba.best.com>

>
> I've seen the RM theory. That's all good and well, but like Bohr, your
> model suffers some serious defects when faced with all but the simplest
> electronic structures. Probabilistic wave functions work much better at
> describing observable electronic phenomena than can be accomodated by
> deterministic/discrete wave functions, especially as the electronic
> structures get more complicated. I don't see any means by which you can
> package your electron orbitals to make them look like the electron orbitals
> that actually happen. The Schrodinger wave functions are fundamental to
> modern chemistry and work very well; *much* better than non-probabilistic
> functions.
>
> So here's the problem, in short:
>
> You would like us to discard a vast quantity of experimentally verifiable
> computational chemistry in exchange for an "improved" theory that generates
> a huge body of evidence to the contrary.
>

NoNoNo.... 'RTFM'!!! >:-} Relational Mechanics _subsumes Quantum
Mechanics_ as a -- statistically-based -- approximation method. We
often use approximation methods in physics, as auxilliary hypotheses
to the 'core programme' of RM. So you don't have to give up a handy
computational 'short-cut' -- RM provides deeper, more secure and
content-laden foundations for even greater computational advances.

Schwartzchild has priority for the basic 'QM' idea anyway: As I say
quite clearly in my RM paper:

"In a little-remarked paper, Schwarzschild [1903] had shown that
Maxwell's equations can also be expressed in the form of a set of
equations of motion of a system of particles, thus anticipating the
'wave-mechanics' of de Broglie and Schrodinger by several decades.
All that is needed, in addition to this, for the development of
modern 'wave mechanics', is a form of the statistically-based
Heisenberg 'indeterminacy relation.'

Schwartzchild showed that the equations of a beam of electromagnetic
waves, as deduced from Maxwell's theory, can be recast in the form
of the Lagrangian equations for a stream of particles. A moment's
thought should show that all wave theories in fact derive from the
study of particles of various kinds - elementary particles, atoms,
molecules - interacting either by means of forces acting over a
distance, or by direct contact."

I would ask you to distinguish between the 'world-picture' of RM,
which is founded upon its underlying core programme, and the handy
short-cuts used by -- auxilliary -- approximation methods. (Ritz's
Approximation Method is another famous illustration). Also read how
Walter Ritz calculating Chladni figures, through 39 iterations
ISTR...

Your interest is appreciated, James.

Sincerely,

/ /\ \
--*--<Tony>--*--

Tony Hollick, LightSmith

http://maelstrom.stjohns.edu/archives/la-agora (LA-Agora Conference)
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