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

TOE
(Theory Of Everything)

As a mathematical factor, the integer 18 excels as a unification tool in the product of the "weights"( without dimension ) of the four fundamental forces of Nature . . . G, aem a(s) and Gw. Why product instead of sum? Because the weights are treated equally only as product since sum would always be approximately , 14 or strong force.

 G = gravitational force = 6.674205549 * ( 10 ^ -11 ) aem = fine-structure constant = 1 / 137.03599911 Gw = fermi-coupler or weak force = .000011664 * ( 10 ^ -5 ) a(s) = strong force (14) gluon = 13.99996741

. . .  the main equation is cyclotomic- Laplacian ( natural log e to the 2/Pi power)

 1 / Gw / a(s) / ( 18 ^ 2 ) / 10 = e ^ ( 2 / Pi )

. . . the electron charge . . ec . .  is used with the fractal dimension of light speed . . . c = 299792458 m/s ....and 18 to become the dimensionless fine-structure constant aem:

 aem = ( ec ^ 2 ) / 2 / E / h / c G = h *c / 2 / Pi / ( Mp ^ 2 ) Gw = Gf / (( h-bar / c ) ^ 3 )

. . . the fractal of light . . . 3.1 . . . shows the simplification of two complex forms . . . aem and G ( long range forces ) as a reduction through 18:

 ec = electron charge = 1.60217653 * ( 10 ^ -19 ) h = Planck's constant = 6.626069287 * ( 10 ^ - 34 ) c = speed of light = 299792458 Mp = 2.176449596 * ( 10 ^ - 8 ) e = natural log e = 2.718281828 Pi = 3.141592654

. . . then as follows:

 ( ec ^ 2 ) * ( c ^ 3.1 ) / ( e ^ ( 2 / Pi )) / ( 180 ^ 2 ) = aem * G * a(s) * Gw

. . . this is a TOE equation, all four fundamental forces united by the electron charge . . . ec . . . and light speed . . . c . . . key players here, light speed fractal . . . 3.1 . . . and 180 , ( factor of a radian, 180 / Pi = radian ). 180 is a dimensional factor of the four fources product , possibly meaning everything is an angle:

 aem * a(s) * G * Gw *((Pi * radian) ^ 2 ) = ( ec ^ 2 ) * ( c ^ 3.1 ) / ( e ^ ( 2 / Pi ))

How accurate is the equation above? Using 2002 NIST values as a percentage and 12 measured constants to 9 decimal places:

 ..... 2002 NIST ....................................................... ............ formula .............................. ....%.......
 aem = 1/137.03599911 . . . . . .  exact . . . . . . 100 h = 6.626069287 * ( 10 ^ - 34 )J . . . . . . exact . . . . . . 100 c = 299792458m/s . . . . . . exact . . . . . . 100 G = 6.6742 *( 10 ^ -11) . . . . . .  6.674205594 * ( 10 ^ -11 ) . . . . . . 100 as = 14 ( Michio Kaku) . . . . . . 13.999967411 . . . . . . 99.9998 Gw = .0000116639(2) . . . . . .  .000011664 . . . 100 ec = 1.60217653 * ( 10 ^ -19 ) . . . . . . exact . . . . . . 100 e = 2.718281828 . . . . . . exact . . . . . . 100 Mp = 2.7176449594 * ( 10 ^ - 8 ) . . . . . . exact . . . . . . 100 Pi = 3.141592654 . . . . . . exact . . . . . . 100 E = 8/.854187818 * ( 10 ^ -12 ) . . . . . . exact . . . . . . 100 Gf = 3.685861944 * ( 10 ^ -82 ) . . . . . . exact . . . . . . 100

To place the TOE formula into a cyclotomic- Laplacian form one can reduce the formula to:

 E * ( Mp ^ 2 ) * ( h^3 ) * ( c ^ 6.1 ) / a(s) / Gf / ( Pi ^ 2 ) / 64800 = e ^ ( Pi ^ 2 )

. . . E represents electromagnetism, Mp represents gravity, h represents the quantum unit, Gf represents the weak force, Pi the unit circle, a(s) remains unchanged, and then there is the integer 64800, which is called a highly composite number having numerous factors, such as:

 64800 = 3600 * 18 ( Earth diameter 3600 ) 64800 = 2592 * 25 ( Platonic 2592 ) 64800 = 82944 / 1.28 ( Perfect number 128 ) . . etc . .

. . . the fractal 6.1 on light speed is quite exotic, representing a huge velocity..warp 6.1 light speed. However the main equation.....e^(2/Pi)... uses only nuclear carrier forces in its reduction Gw, fermi coupler for the weak force, and a(s) strong force gluon:

REDUCTION: nuclear carrier particles: Gw and a(s):

 1 / Gw / a(s) / ( 18 ^ 2 ) / 10 = e ^ ( 2/Pi )

EXPANSION: four fundamental force carriers:

 E * ( Mp ^ 2 ) * ( h ^ 3 ) * ( c ^ 6.1 ) / a(s) / Gf / ( Pi ^ 2 ) / 64800 = e ^ ( 2/Pi )

. . . which interprets as all fundamental forces have origins in the nuclear force carriers:

 E . . . electronic Mp . . . gravitational h . . . electronic, gravitational , nuclear c . . . electronic, gravitational, nuclear a(s) . . . strong force Gf . . . weak force Pi . . . unit circle

Because of Gf's relationship to the first principles of energy..... proton = pmev = 938.272029 mev and electron = emev = .510998986mev , through the delta ordering constant of Feigenbaum...F = 4.669201609..you can replace Gf as:

 ( c * h-bar ) ^ 3 = Gf * pmev * F * 10 / emev Gf = (( c * h-bar ) ^ 3 ) * emev / pmev / F / 10

. . . substituting Gf by the proton-electron-Feigenbaum constants and placing them into the expansion formula for the TOE equation reduces to the equivalencies:

 a(s) * emev * 810 / ( Mp ^ 2 ) / E / Pi / pmev / F / 10 = e ^ ( 2 / Pi ) 1 / Gw / a(s) / ( 18 ^ 2 ) / 10 = e ^ ( 2 / Pi ) E * ( Mp ^ 2 ) * ( h ^ 3 ) * ( c ^ 6.1 ) / a(s) / Gf / ( Pi ^ 2 ) / 64800 = e ^ ( 2 / Pi )

. . . interesting to note that since the cyclotomic form . . . e^(2/Pi) . . . is the identity, then one can substitute for the Eulerian form for complex to real number mathematics: i = square root of negative one:

 e ^ ( i*Pi) = -1 e ^ ( 2 / Pi )) ^ (( -Pi ^ 2 ) / 4 ) = i ^ i

. . . such that:

REDUCTON FORM:

 1 / Gw / a(s) / ( 18 ^ 2 ) / 10 ) ^ (( -Pi ^ 2 ) / 4 ) = i ^ i

...to convert to Euler's equation:

EULERIAN FORM:

 e ^ ( Pi * (( 1 / Gw / a(s) / ( 18 ^ 2 ) / 10 )^ (( -Pi ^ 2 ) / 4 / i ))) = -1

J. Iuliano

(Sent via e-mail January 23, 2005)

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Note from Joseph E. Mason:

The number 82944 is 288 squared. These two numbers and the numbers 64800, 2592, 3600 are also ancient gematrian numbers. 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.

electron = .510998902 mev / (c ^ 2 )
Me = electron mass = 9.1093826 * ( 10 ^ - 11 ) grams
Re = electron radius = 2.817940285 * ( 10 ^ - 7 ) meters
K = coulumbs constant = 8.987551705 * ( 10 ^ 9 )
Gn = gravitational constant in newtons = 6.6742 * ( 10 ^ - 11 ) k^3/m/s
c = speed of light = 299792458 meters/seconds
h = Planck's constant = 6.62606891 * ( 10 ^ - 34 ) Joules
E = permittivity of space = 8.854187818 * ( 10 ^ - 12 ) Fm<