On the Riemann Hypothesis, The Magnolin and Spuds

Reading further in 'The Music of the Primes' I have learned more about the Riemann hypothesis of prime numbers. It is a more specialized conjecture than simply proving that their are an infinite number of primes or of finding the number of primes within N numbers. Riemann's development of the hypothesis occurred within an interesting period of the development of mathematics generally in France, Germany, Norway, Italy, and Russia etc wherein imaginary numbers were invented. Imaginary numbers as you know are negative numbers.

Mathematicians like Gauss, Cauchy built foundations for Reimann's study with origins from Euclid to Euler. Riemann found that the zeros of the zeta function (with imaginary numbers) plotted on a graph or chart invariably would turn up with a value of 1/2. That is a philosophically satisfying place for prime number zero zeta values on Reimann's critical line to fall.

Not being a mathematician the zeros of the prime zeta function with a location of 1/2 appear to be logically situated between being and nothingness. In the development of any self-consistent mathematical series there should be a golden mean of 1/2 denoting the midway between the two boundaries existentially.

Prime numbers are indivisible within a given number series and so in relation to the number system place midway- or at the .50 percent location between theoretical deviations in any direction. That is quite non-mathematical yet as I mentioned, philosophically satisfactory. If there were other number systems with primes the zero zeta function of those two should have a value of 1/2.

Irrational numbers have values to the right of the decimal sign that go on for infinity such as pi while fractions have an end to their decimal extension. Prime numbers as midway locations in a self-consistent criterion have a balance that might represent some values in another field I don't know much about; particle physics.

The strong force bind the nucleus of atoms together is made of quarks I seem to recall and they are bound in such a way that their force gets stronger as they are pulled apart. The numerical values of particles are in ratios consistent with their force distance, spacing, momentum and numbers from other particles. They have valence values of how many can be in a shell (e.g. electrons) without flying apart or otherwise effecting the composition of the structure. Loading a boat or building a mountain range of offices and condos has similar weight, load and materials limits.

 The Reimann hypothesis for prime numbers presents a general statistical way of finding primes with a zero zeta function it seems (so far as I presently understand the hypothesis). It seems like a good book to read on a rainy day after a bear visit.

Fourier found mathematical foundations for harmonics that support the premise that prime numbers too have a musical progression rather than general chaotic noise. On might build metallic or ceramic strings held in place by super-conducting electro-magnetic that would let the harmonics trail off either like a clarinet or a violin as the player made adjustments for simple pure harmonics or complex overtones such as a violin has.

The strings at each end would go into the electro-magnetic receiver and not make direct physical contact. I suppose one could adjust the strings so that they could have variable pitch characteristics themselves with magnetic force. Yet that idea might be more effective than making a dehydrated potato factory in Wasilla Alaska to take in northern potato growers produce and convert it into packaged powder spuds for the growers for just 19% of the crop. Northerners with a few hundred or thousand pounds of potatoes might find it simpler to store mashed potatoes for the winter instead of raw.