Questions about the Fine structure constant?

[seekingObjectivity]

In the Cassiopaean transcripts (session 981226), the C's indirectly suggest to Ark that Armand Wyler's work in determining the fine structure constant may be of importance for possible future discovery of determining the true geometrical description of nature's laws. Being interested in the interpretation of the possible role that the fine structure constant plays in such descriptions, I found that it may be approximated by

tan(pi/(29 x 137))/(29 x 137) = 1/137.0359997867.....

During the session 990731 the C's indicate to Laura that during the time of the Philadelphia/Montauk experiment those involved could materialize a person from a possible future and that the probability of the events of such a future to occur was 1 out of 329 decillion.

It just so happens, and it seems an interesting coincidence to me, that the numbers 29 and 137 to estimate the fine structure constant are the 10th and 33rd primes, respectively, and that one decillion is 10^33 and that 329 is the smallest odd composite number m such that m plus sum of the 3^j-th power of the digits of m for j=1,2 & 3, are primes: i.e., 329 + 3^3^1 + 2^3^1 + 9^3^1, 329 + 3^3^2 + 2^3^2 + 9^3^2 & 329 + 3^3^3 + 2^3^3 + 9^3^3 are primes. It may also be represented as 329 = 7·47, sum of three consecutive primes (107 + 109 + 113) and is a highly cototient number. In number theory, a highly cototient number k is an integer that has more solutions to the equation x − φ(x) = k, where φ is Euler's totient function, than any integer below it, with the exception of 1. In other words, k is a cototient more often than any integer below it except 1. The totient function is important mainly because it gives the size of the multiplicative group of integers modulo n. [http://en.wikipedia.org/wiki/Highly_cototient_number]. [φ is also equal to the number of possible generators of the cyclic group Cn (and therefore also to the degree of the cyclotomic polynomial φ)]

I thought it was an interesting observation and even if it may be a coincidence there might be a chance that it is somehow connected. Does anyone know more about this type of stuff?

 

[John G]

In the Cassiopaean transcripts (session 981226), the C's indirectly suggest to Ark that Armand Wyler's work in determining the fine structure constant may be of importance for possible future discovery of determining the true geometrical description of nature's laws. Being interested in the interpretation of the possible role that the fine structure constant plays in such descriptions, I found that it may be approximated by

tan(pi/(29 x 137))/(29 x 137) = 1/137.0359997867.....

Wyler's work involves volumes related to gravity and spacetime and does not actually have those prime numbers used in the approximation (the approximation produces a different number than Wyler's calculation).

http://www.valdostamuseum.org/hamsmith/Sets2Quarks8.html#sub5

 

[ark]

For those interested here is the excerpt from a remarkable book by a physicists, Ernest Sternglass. entitled "Before the Big Bang":

The mystery of the actual value of the fine-structure constant a is brought out even more strongly if one examines the precise value of the pure number that governs the nature of the universe which has allowed life as we know it to evolve. It now seems that this would have been possible with values for its inverse anywhere between about 136 and 138. The mystery is why it should have precisely the value 137.036, or, as the most recent precision measurements indicate, most likely the value 137.0360 (to within about one part in a million). The simple integral value 137, or any arbitrary "irrational" number beginning with 137 having an infinite number of decimal places, would have allowed stars, planets, stable protons and the essential elements of carbon and oxygen to come into being. Thus, the appearance of 360 as part of the fine-structure constant, the number of degrees in a complete circle introduced by the ancient Babylonians, is surprising. That number also represents very closely the number of spin revolutions per orbital revolution, or the number of days in a year of a planet such as ours-able to have water on its surface at a temperature that allows a variety of complex life-forms to evolve. (It is also the length of the sacred year of the Egyptian and the Mayan civilizations.) This value for 1/a leads to the result that the mass of the universe in units of the electron mass is given by 2[(2/a) -2] 2^(2/a), which is given by 2[(2 x 137.036-2)] 2^137.360. This equals 1.73623 x 10^85 to six significant numbers, which can also be written as 17.3623 x 10^(2x6x7) so that amazingly only the numbers 1, 2, 3, 6 and 7 contained in 2/a appear. Using the value fora 1=137.036, the constant of gravitation G, given by (e^2/m0^2)/[2(2/a)-2]^(1/2) 2^(1/2) becomes 6.672 38 x 10^(-8) c.g.s. units, compared with the (1986) best measured value of 6.672 59 ± 0.000 85 x 10^(-8) using the 1986 values of the electron mass and charge, 9.109 389 7 x 10^(-28) gram and 4.803 206 x 310^(-10) electrostatic unit repectively. The difference in the values of 1/a is only 0.00021 or 40 times less than the present experimental uncertainty. Thus, the hypothesis that 1/a has exactly the rational value 137.036 is in excellent agreement with the best presently measured value of G. It will be further tested in the future by improved measurement of Newton's constant to an accuracy of +-0.00002 or to 3 parts per million, together with the theoretical prediction of the mass of the universe on which the calculation of the gravitational constant depends.

[Sternglass, op. cit. Endnote 9, p. 300]

Note 2^3 means "two to the power three etc. The fine structure constant, usually denoted by the Greek letter alpha, is here denoted by a.

More about the author can be found here:

http://www.ratical.org/radiation/inetSeries/nwEJS.html

see also his entry on "Radiation Relatively More Harmful at Low Levels" at

http://www5.doh.wa.gov/Hanford/publications/overview/viewpoints.html

 

[Leo40]

At present I am working my way through a work by Richard Merrick: "Interference, a grand scientific musical Theory".
The material begins with the description of the musical system, describing and analysing concepts of harmony, resonance,
interference, harmonics, damping etc.
Music is an excellent means to model all events in a vibratory universe.
Consider octaves divided into 12 notes. Octaves in Gurdjeffs Ray of creation.
Repetition at increasing frequencies.
To prevent resonance from becoming destructive there is "built in damping".
I am unable to summarize Mr. Merrick's findings because of the density of the material covered and the mathematics involved.
Here is a quote that may stir your curiosity:

"The Fibonacci series, converging to the golden ratio phi, act as a natural damping proportion within the harmonic interference pattern of an octave to prevent fractional wave partials from forming while enabling standing wave harmonics to resonate. Maximum resonance and damping locations within the harmonic series or octave may be estimated to four decimal places using these equations:

Maximum RESONANCE RATIO = phi + (7/12 exp.2) = 1.6666 approx. major 6th = 5:3 ratio

Maximum Damping Ratio = (5/3) - (7/12 exp,2) = 1.518 or approx. phi ratio

"Interestingly, when 137.03599907098 is divided by the Rosslyn magic ratio 0.012345679, it is equal to 11,100 within a 0.0007% variance. From the perspective of harmonic science, the fine-structure constant appears to be a unity property of cubic space resonance."

I feel his ideas are providing a means of a new perspective and modelling opportunity. Unfortunately I don't have the mathematical ability to do so.