## Re: [PrimeNumbers] Re: Prime numbers in math.

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• Mark ­ Thanks for your very interesting reaction to my question about ³Convergence². The answers such as yours, and I have received several, have a life of
Message 1 of 9 , Jun 22, 2010
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Mark ­ Thanks for your very interesting reaction to my question about
³Convergence². The answers such as yours, and I have received several, have
a life of their own, far removed from the original intent. It is amazing how
the world relates to and is influenced by the concept of prime numbers. Your
interest is appreciated. Marty

From: Mark <mark.underwood@...>
Date: Tue, 22 Jun 2010 18:08:27 -0000
To: <peter_boos@yahoogroups.com>
Subject: [PrimeNumbers] Re: Prime numbers in math.

, "Peter_Boos" <peter_boos@...>
wrote:
>
> what we observe in nature we call physics.
> what we see in physics, follows the rules of math.
>
> Above here i wrote down relation to the outside world and math.
> What i am curious of, prime numbers certainly have a clear formulation
and follow their own order in math. not really related to our visual
perception, but there is a clear definition prime numbers are no random
numbers. Since prime numbers have their use to us.
> And they contain special properties, in math in general.
>
> How does this reflect backwards in physics, or nature ?
>
> has anyone observed prime numbers, in physics, or nature ?.

A few years ago I received a book as a gift: The Music of the Primes by
Marcus du Sautoy.

Below is an an excerpt from page 285-286 which you might find
interesting!

Mark

The power of the analogy between the Riemann zeros and quantum physics
is twofold. First, it tells us where we should be looking for a solution
to the Riemann Hypothesis. And second, as Keating had now proved, it can
predict other properties of Riemann's landscape. ... Even if the
physicists can't come up with a physical model that generates zeros,
mathematicians admit that it could well be a physicist who finally
proves the Riemann Hypothesis. ....

The physicists believe that the reason Riemann's zeros will be in a
straight line is that they will turn out to be frequencies of some
mathematical drum. A zero off the line would correspond to an imaginary
frequency which was prohibited by the theory. It was not the first time
that such an argument had been used to answer a problem. Keating, Berry
and other physicists learnt as students about a classical problem in
hydrodynamics whose solution depends on similar reasoning. The problem
concerns a spinning ball of fluid held together by the mutual
gravitational interactions of the particles inside it. For example, a
star is a ball of spinning gas kept together by its own gravity. The
question is, what happens to the spinning ball of fluid if you give it a
small kick? Will the fluid wobble briefly and remain intact, or will the
small kick destroy the ball completely? The answer depends on showing
why certain imaginary numbers lie in a straight line. If they do, the
spinning ball of fluid will remain intact. The reason why these
imaginary numbers do indeed line up is related very closely to the
quantum physicists' ideas about proving the Riemann Hypothesis. Who
discovered this solution? Who used the mathematics of vibrations to
force these imaginary numbers onto a straight line? No other than
Bernhard Riemann.
>

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