MOND calculation from topology

Posted by CABrannen on September 17, 2003 at 16:10:49:

Hi everyone,

I finally got the MOND calculation worked out in a way
that doesn't embarass me, and I thought I'd share it with you.

My April version had to switch back and forth between classical
and quantum descriptions of the same particle, but the new version
is pure quantum mechanics. The classical properties come
from wave function collapse, and in that the effect is quite
similar to the Quantum Zeno Effect.

In short, if you assume that velocities are quantized, and that
all quantum objects eventually get "measured", then you have
to conclude that it is possible to have potentials that are so weak
that the particle is unable to traverse from one velocity eigenstate
to the next, just like the QZE. From perturbation theory, it is
clear that when the particle is in a velocity eigenstate, it leaves
that eigenstate with a time dependence that is (in average)
proportional to time squared rather than newtonian, which
would be proportional to time. Too frequent measurements
will keep pushing the particle back into its velocity eigenstate.

So a rocketship that is trying to maintain its position against
a very weak gravitational potential will discover that its thrust
(the very weak potential) is unable to accelerate the rocket
as well as usual. The rocket's natural conclusion is that the
gravitational well is deeper than he thought, hence the
MOND hypothesis and dark matter. Other observers
are forced to agree with the rocket ship's analysis because
otherwise they would be observing a blatant violation of
conservation of momentum.

Anyway, I also wrote up an extension of my topology to
general relativity, and upgraded the Schroedinger's analysis
of quantum interference to Dirac by using the results Hestenes
down in Tempe, who is working on "Geometric Algebra",
a subject that I cannot stop studying it is so cool.

Here's the link:
http://brannenworks.com/MsrEther.html

Carl

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Follow Ups: (Reload page to see most recent)

• Re: MOND calculation from topology -- lanecove 9/18/03 (4)
  • Re: MOND calculation from topology -- CABrannen 9/18/03 (1)
    • Re: MOND calculation from topology -- lanecove 9/19/03 (0)
  • Re: MOND calculation from topology -- paultrr 9/18/03 (1)
    • More observational data on dark energy -- lanecove 9/18/03 (0)

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