The Works of Jerry Iuliano  Ancient Numbers Revealed in Scientific Formulas   Compiled by Joseph E. Mason

Feigenbaum Alpha and Delta Constants and Fine-Structure

The Feigenbaum alpha ( 2.502907875 ) and delta ( 4.669201609 ) constants have an amazing holographic relationship with the electromagnetic fine-structure constant...aem = 1/137.036... and Pi as follows:

 Feigenbaum alpha = Falpha = 2.502907875 Feigenbaum delta = Fdelta = 4.669201609

 #1...aem and 40:                            ( 137.036 / 40 ) ^ ( Falpha ^ 2 ) = 4.669236604 . . . #2...Falpha, Pi, and aem:...Falpha = 2.502907878..                    (( Pi ^ Pi ) - 1 ) * ( Pi ^ 2 ) * ( Falpha ^ 2 ) / 16 = 137.036 #3...Fdelta , natural log e, harmonic mean of 57 and 37. . . Fdelta = 4.669201924                     (( 1/57 + 1/37 ) ^ 2 ) * ( e ^ 8 ) * ( tan Fdelta ) = 137.036

. . . the first type is of the collective unconscious form:

 ( 137.036 / 4 / .00037 ) = 92591.891891891.. = 3425900 / 37

. . . dropping the four (4) and multiplying by Beta (.37):

 ( log ( 137.036 * ( .370000606 ^ 2 ))) / 4 = 1/ Pi:

. . . which means 82944 can derive cosine inverse fine-structure constant through the holographic effect of the fine-structure constant itself: . . . cosine in radians

 ( 82944 ^ (( log ( 137.036 * ( .370000606 ^ 2 ))) / 4 )) / 100 = cos 137.036000986

. . . the log of this form is the Cheops pyramid constructs:

 height = ht = 486.256 ft base leg = bl = 763.81 ft . . . Churchward/Massey 1910 expedition
 ( 10 ^ ( 486.2565481 * 2 / 763.81 )) / ( .370000606 ^ 2 ) = 137.036

. . . amazingly using the natural log e with the Feigenbaum alpha and delta constants creates the Cheops constructs . . . ht / bl: . . . Fdelta = 4.669765083

 ht / bl = 2 / Pi = ( log ( 137.036 * ( .370000606 ^ 2 ))) / 2 ht / bl = 2 / Pi = ( e ^ ( Fdelta ^ ( 1 / Falpha ))) / 10

The 3-dimensional shrinking of the Golden mean volumne . . . ( 1.6180339875 * ( 10 ^ 62 ) . . . is a function of the Feigenbaum alpha and delta constants:

Let M = the volumne = 1.6180339875 . . . * ( 10 ^ 62 ) . . . then the cubed root of the cubed root of the cubed root of the cubed root of the cubed root of the cubed root of M equals 1.2171236 . . .

 Falpha ^ ( 1 / Fdelta ) = 1.21712361404 ((((((( M ^ ( 1/3 ))^(1/3))^(1/3))^(1/3))^(1/3))^(1/3)) = 1.21712361304 . . .

. . . simplifying to: theta = 1.6180339875.= the golden mean . .

 ( theta * ( 10 ^ 62 )) ^ ( 1/ 729 ) = Falpha ^ ( 1 / Fdelta )

. . . what happens if you combine both equations as a symmetrical subtraction? The Planck mass is derived: Mp = Planck mass = 2.176449594 * ( 10 ^ - 8 ) kilograms . . (electron form)

 ( Fdelta ^ ( 1 / Falpha )) - ( Falpha ^ ( 1 / Fdelta ) = .633789534 . . . 1.850913148      -      1.217123614
 ( Mp * ( 10 ^ 14 )) ^ ( -1/32 ) = .633789961 . . .

. . . 10 ^ 14 is equivalent to the permittivity of space form due to

 10 ^ 14 = 16 * ( Pi ^ 2 ) * ( E ^ 2 ) * ( c ^ 4 )

 E = permittivity of space = 8.854187818 * ( 10 ^ - 12 )Fm c = speed of light metric = 299792458 m/s

. . . using the double log, electronmev value for Planck mass(Mp)

 G = gravitational constant = 6.674205594 * ( 10 ^ - 11 )

 G = h * c / 2 / Pi / ( Mp ^ 2 )

 log(logG + 12 ) = ( .510998986mev ^ 2 ) = electron squared

. . . then the Planck mass predicts a value of ...Fdelta^(1/Falpha) = 1.850913575 . . :

 ( Fdelta ^ ( 1 / Falpha )) - (( Mp* ( 10^14 ))^ (-1/32)) = Falpha ^ ( 1 / Fdelta)

J. Iuliano

(Sent via e-mail January 15, 2005)

________________________________ Note from Joseph E. Mason:

The number 82944 is 288 squared. For more information about these and other similar numbers and their connections to ancient numbering systems, see the links on the index page.

The fine-structure constant is said to be the "coupling constant" or measure of the strength of the electromagnetic force that governs how electrically charged elementary particles (e.g., electron, muon) and light (photons) interact. Some say it represents the probability that an electron will emit or absorb a photon.

______________________

There is a most profound and beautiful question associated with the observed coupling constant, e the amplitude for a real electron to emit or absorb a real photon. It is a simple number that has been experimentally determined to be close to -0.08542455. (My physicist friends won't recognize this number, because they like to remember it as the inverse of its square: about 137.03597 with about an uncertainty of about 2 in the last decimal place. It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it.) Immediately you would like to know where this number for a coupling comes from: is it related to pi or perhaps to the base of natural logarithms? Nobody knows. It's one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the "hand of God" wrote that number, and "we don't know how He pushed his pencil." We know what kind of a dance to do experimentally to measure this number very accurately, but we don't know what kind of dance to do on the computer to make this number come out, without putting it in secretly!

R.P. Feynman
1918 - 1988 