99.82.1 Gundlach-Merkowitz gravitational constant and electron (Iuliano) 

Page 82

Sections List- 99 Electrons and Mythologies
Impossible Correspondence Index

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Gundlach-Merkowitz gravitational constant and electron
Date: 09/04/03

MP:

New measurements of the gravitational constant confirm that the official value needs to be increased and, as John Moore reports, could explain what went wrong in a previous experiment.

Ever since Henry Cavendish first measured Newton's gravitational constant in 1798, the value of "big G" has remained the least accurate of all the fundamental physical constants. Indeed, when the most recent list of recommended values for the fundamental constants was published in 1998, the uncertainty in G had increased by a factor of 10 from the previous list.

Gee whizz

Last year, however, two US physicists reported the most accurate measurement ever, and now a team of researchers from the Bureau International des Poids et Mesures (BIPM) in France and Birmingham University in the UK has reported the results of another experimental tour de force. Moreover, they claim to have discovered the reasons for the errant measurement that led to the factor of 10 increase in the uncertainty surrounding the constant.

Big G is difficult to measure because gravity is by far the weakest of the four fundamental forces and because it is impossible to shield experiments from the gravitational influences of their environment. Today the official value is G = 6.673 x 10-11 in units of metres cubed per kilogram per second squared, with a relative uncertainty of 1500 parts per million (ppm). By contrast, the mass of the electron is known with an accuracy of 0.08 ppm.

In 1994, when Winfried Michaelis and co-workers at the German standards lab, the Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig, began an experiment to measure G, the accepted value was 6.672 59 x 10-11 with an uncertainty of 128 ppm. The PTB result shocked the big G community because it was more than 5000 ppm larger than the accepted value at the time, placing it well outside the experimental error bars (Metrologia 1995/6 32 267). Metrologists have been puzzling over the PTB results ever since.

Back to basics

In a traditional Cavendish "torsion balance" experiment, test masses are suspended on a wire that rotates in response to a gravitational torque created by source masses placed nearby. This rotation is opposed by the torsion of the wire. By measuring the amount of the twist in the wire, which is proportional to the gravitational attraction between the masses, the value of G can then be determined.

Last year Jens Gundlach and Stephen Merkowitz of the University of Washington in Seattle used a highly modified version of Cavendish's torsion balance in which both the source and test masses rotated on turntables. The key feature of their set-up was that the torsion fibre did not twist, which, according to Gundlach, enabled them "to avoid most of the systematic uncertainties". Last year Gundlach and Merkowitz reported a value of 6.674 215 x 10-11 with an uncertainty of just 14 ppm, surpassing all previous measurements in accuracy and setting a whole new standard for measuring G (Phys. Rev. Lett. 2000 85 2869).

10 ^ (( 10 ^ (.510998902 mev ^ 2 )) - 12 ) = 6.674200049 * ( 10^-11) = G(n)

.......or

sqrt ( log ( logG(n) + 12 )) = .510998902 mev = electron

J.Iuliano

The BIPM-Birmingham experiment also uses a modified Cavendish set-up, which rests on a marble block that is bonded to the local bedrock in a temperature-controlled laboratory. The four 1.2 kg test masses are mounted on a disk, which is suspended from a copper-beryllium ribbon in a vacuum chamber. There are four 12 kg source masses outside the chamber, resting on a carousel that is driven by a stepping motor. When the source masses are radially aligned with the test masses, there is no gravitational torque on the balance. When the source masses are rotated by 18.7¡ in either direction, the torque is at a maximum.

"A unique feature of our experiment," says Terry Quinn of the BIPM, "is that we can carry out both a Cavendish experiment and a servo-controlled experiment with the same apparatus." Using the servo-controlled method, the gravitational torque generated by the source masses is balanced by an electrostatic torque that acts directly on the test masses. This electrostatic torque is generated by applying an AC voltage between the test masses and a pair of thin copper electrodes near each mass. G can be calculated by measuring the electrostatic torque needed to balance the gravitational torque due to the source masses.

Following some 38 Cavendish experiments lasting four hours each and 25 servo experiments, all 10 hours long, the BIPM team arrived at a value of G = 6.675 59 x 10-11, with an uncertainty of 41 ppm.

"The close agreement of the results from the two methods is evidence for the absence of many of the systematic errors to which a G measurement is subject," says Quinn. "Our result is close to, but not exactly equal to, the value of Gundlach and Merkowitz."

Indeed, the BIPM and Seattle results differ by more than four times their combined uncertainty. "The difference is likely to be due to systematic errors, at the level of one or two parts in 104, hidden in one or both of the measurements," the BIPM team writes in a paper accepted by Physical Review Letters.

PTB or not PTB

The BIPM team also believes it knows the reason for the PTB discrepancy. "It is very subtle," says Quinn, explaining that the problem is related to the frequency dependencies of various capacitances in the experiment and the use of AC and DC servo-control systems. Put simply, Quinn claims that the PTB team calibrated its apparatus at one frequency and made its measurements at another. The BIPM team encountered similar problems in the early days of its experiments when it was using a DC servo system. "The problems were eliminated when we started using an AC servo working at the same frequency," says Quinn.

However, Winfried Michaelis has visited the BIPM experiment and does not believe that Quinn's theory can explain the errant PTB measurement.

"The BIPM experiment has a relatively open arrangement of electrostatic components with insulating materials in it," he says, "whereas we had a nearly closed electrometer box without any insulators." Nonetheless, the PTB team will soon be performing a new experiment together with specialists in the measurement of capacitance.

The big G community now awaits the results of other experiments. In July a task group from CODATA, the international body that controls the values of the fundamental constants, decided not to change either the value of G or the uncertainty given in the 1998 recommended values.

"What is most likely to happen when other results come out," says Quinn, "is that the value of G may be changed towards where we are now, and the uncertainty is going to be reduced, probably by a factor of 10."

(Note: When a phrase is used, by scientists of the Scientific Method, such as this,

"...a wire that rotates in response to a gravitational torque created by source masses placed nearby. This rotation is opposed by the torsion of the wire. By measuring the amount of the twist in the wire, which is proportional to the gravitational attraction between the masses, the value of G can then be determined.",

we should realize gravity is not understood as to what it actually is, so it cannot actually be measured.

Gravity is what space does. Gravity happens when space implodes into matters centers. Gravity is space implosion. What does this space implosion have to do with the assumptions of "matter attracting" or "torsion created by the source mass"? Nothing. Gravity does not attract from the center of masses. Mass does no torquing. Invoking the inverse square laws, does one now take inverse square measurements of an inverse torsion experiment, proving that two inverse wrongs can make a right? Why is there no mention of this inverse operation of correction? MetPhys.)

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99.82.2 Kepler conjecture and Beta .37 (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Kepler conjecture and Beta .37
Date: 10/05/03

MP:

The Kepler conjecture for sphere packing has a density number of:

Pi / (sqrt 18) = .740480489...

This number is related to Beta..(.37).. and the Fermat form eigenvalues...2807 and 1579 as follows:

( 2807 / 1579 / .37 / 10000 ) + ( .37 * 2 ) = .740480461

J.Iuliano

The Kepler conjecture

Authors: Thomas C. Hales

Comments: 62 pages. Eighth and last in a series beginning with math.MG/9811071. Includes an index of terminology and notation for the entire series. The source package of the first version includes the source code of the software used in the proof. The second version has been completely rewritten.

Subj-class: Metric Geometry

This is the eighth and final paper in a series giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never greater than $\pi/\sqrt{18}\approx 0.74048...$. This is the oldest problem in discrete geometry and is an important part of Hilbert's 18th problem. An example of a packing achieving this density is the face-centered cubic packing.

This paper completes the fourth step of the program outlined in math.MG/9811073: A proof that if some standard region has more than four sides, then the star scores less than $8 \pt$.

Full-text: PostScript, PDF, or Other formats

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99.82.3 Secrets in Pi (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Secrets in Pi
Date: 10/06/03

THE SECRET OF IT ALL IS IN THE PI

In the above, Pollard discoursed on the meaning of it all and how mathematics seemed to mirror reality so marvelously. Now, one fixture of mathematics is the transcendental number. The adjective "transcendental" is most appropriate here given the title of Pollard's article. Of the transcendental numbers, pi is a great favorite. Mathematicians like pi so much that they have computed it out to well beyond 10 million decimals. Are there any inklings to the meaning of it all in these 10 million-plus decimals? Well, at decimal 710,100 there are seven 3s in a row. At decimal 1,526,800, we find the digits 2718281, the first seven digits of e, the base of natural logarithms. Then at decimal 52,638 there is 14142135, the first eight digits of the square root of 2. But all these discoveries are hardly profound, for they could occur by chance -- nothing really "transcendental" so far.

A more astounding discovery is that:

22(pi)4 = 2143

From this formula...2143 is a collective unconscious constant consistent with: 144/37 = 3.891891...Druid light 144 and Beta 37 25920/666=38.891891891...Plato's cyclic 25920 and "beast" 666 82944/32/666 = 3.891891891...Leahy's 82944 ...paths of wisdom.. 32.... 10800/37 = 291.891891...Hindu Kali-Yuga time unit = 108

214300/37 = 5791.891891... J.Iuliano

A few multiplications, and the 10 million-plus decimals of pi have vanished. (Can this remarkable relationship mirror some as yet undiscovered facet of physical reality?)

While it is difficult to squeeze the meaning of the universe out of pi's 10 million-plus decimals, one has to admit that pi is everywhere. To grasp the insidiousness of this number, write the alphabet out beginning with J, as follows:

J K L M N O P Q R S T U V W X Y
Z A B C D E F G H I

Now cross out all those letters with right-left symmetry, such as M, O, etc. The remaining letters are in five groups, with populations of (you guessed it) 3, 1, 4, 1, 6. Surely this must mean something!

(Note: Surely it must mean something similar to the valid three letter displacement skip code we find in the Penteuch. This time around we find the letter A is displaced 11 letters and aligns with K......A to K is 11 letters. Iuliano previously noted that chaos reigns until the 11 dimension is reached. MetPhys.)

(Gardner, Martin; "Slicing Pi into Millions," Discover, 6:50, January 1985.)
From Science Frontiers #37, JAN-FEB 1985. © 1985-2

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99.82.4 Gravity, electrons and the dodecahedron (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Gravity, electrons and the dodecahedron
Date: 09/04/03

On Mon, 15 Sep 2003 JerryIuliano@aol.com wrote:

> JDP:

> Nice formula!!! ...it can also be shown as an Einsteinian type....E = m * ( c^2 ) for the Planck mass..Mp... using either the electron form:

>10 ^ (( 10 ^ (.510998902 ^ 2 )) - 12 ) = G(n) = 6.674200049*(10^-11)

I note that the appearance of the 12 here as before may be related to the 12 faced dodecadhedron etc. There is a sense in which the mathematical value of each constant by necessity being unitarily determined by each other constant absolutely is a foundation from which any other constant may be directly derived through a simple mathematical transformation.

>..or using the Phi form:

>1/137.03599976 = 5 * (c^2) * h / 4 / Pi / ( Mp^2 ) / (Phi^4 )

This is excellent. See below. A four-dimensional space-time Golden Ratio? )

(Note: This is what I imagined some time ago. This dodecahedron is also the Vector Equilibrium of B. Fuller and the 12 centers or packed spheres contain an invisible, centerless-center, 13 sphere. This 13 sphere is the model of gravity and is personified as The Christ and his 6+6 disciples at the Last Supper. MetPhys.)


Fuller Vector Equilibrium Pump Model

> ...Mp = Planck mass = 2.716560866 * ( 10 ^ -8 ) kilograms
>h = Plancks constant = 6.626067864 * ( 10 ^ - 34 ) Joules
>c = 299792458 meters per second.

>...The only mass for the Einstein equation is the Planck mass form...Mp...which means the force in dynes for inverse Planck masses squared equals:

>a(em) / 5 / h * 4 * Pi * ( Phi ^ 4 ) = ( 1 / ( Mp^2 )) * ( c ^ 2 )

The result has a dimensionless factor a(em), a transcendental factor Pi, etc.

I like this one a lot. It suggests the "complex simplicity" of the physics of nature. Four-dimensional, pentagonal. Since both electromagnetism and gravity operate by inverse square laws - the inverse square of Planck's Mass multiplied by light squared recalling the right side Einstein's equation - magnificent!!! - Energy on the left structured by the 20 vertices of the dodecahedron or 20 faces of the icosahedron ( see Bucky Fuller - Synergetics ) and 4 dimensional Golden Ratio space-time ?

>Since a(em) can be rewritten as :

>( e^2 ) / 2 / E / c / h ....then substituting:

>( e^2 ) / 2 / E / c / h / 5 / h * 4 * Pi * ( Phi ^ 4 ) = ( 1 / ( Mp ^ 2 ) * ( c ^ 2 )

>...which reduces to: e = elementary charge = 1.602176347* (10^-19)C

>E = electric constant = 8.854187818 * (10^-12) Fm

>( e ^ 2 ) * ( 2/5 ) * Pi * ( Phi ^ 4 ) / E / ( h ^ 2 ) = ( 1 / (Mp ^ 2 ) * c

>..as shown previously the product of all the TOE forces is the" 4th root of 2/5 ths"

>( 2 / 5 ) ^ (1/4) = a(em) * a(s) * G(w) * (G(n)

Strange that 2, 5, and 4 popup here as they popped up in 5cG / 2Phi^4 = a

>J.Iuliano

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99.82.5 Cubits, Meters, Inches and PHI (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Cubits, Meters, Inches and PHI
Date: 11/10/03

MP:

Look at this amazing coincidence:

39.370079 inches / (( 50000 * .61803398875 ) ^ ( 1/16 ) = 20.63205033 inches

( 12 inches * .61803398875 / 299792458 meters / 39.370079 inches ) ^ (-1/7) = 20.632027686 inches

...one has here the speed of light in meters in one second= 299792458 m/s...exact
...the metric conversion to inches constant = 39.370079 inches...exact
...the english foot unit in inches = 12 inches = 1 foot...exact
..PHI = 1.61803398875...exact

this is the true definition of a holographic equation , in that the two equations are not forms from one equation but are two distinct equations that holograph to the Egyptian cubit..(20.632 inches)..the main converter here is the exponents ...one-sixteenth in one equation and one-seventh in the latter...

J.Iuliano

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99.82.6 Cubits, Meters, Inches and PHI (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Cubits, Meters, Inches and PHI
Date: 11/14/03

MP:

Look at these mathematical forms concerning the Egyptian cubit.....converting speed of light into inches:

299792458 meters * 39.370079 inches = 1.180285276 * (10^10) inches

20.63259469 inches = EC = Egyptian cubit in inches...(Petrie = 20.632 inches)

(((((1.180285276 * (10^10)) / EC ) ^ (1/32))*(10^4)) - Emev) /10 = Pmev - Nmev

Pmev = proton = 938.271998
Nmev = neutron = 939.56533
Emev = electron = .510998902

these are the 1998 NIST values for the electron, proton and neutron

...the value of this cubit is within Petries error of + or - .0004 inches
....32 is the paths of wisdom from the Kabbala...coincidence?

J.Iuliano

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99.82.7 Coulomb Constant and Gravity (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: Coulomb Constant and Gravity
Date: 10/24/03

Electric and Magnetic Constants

In the equations describing electric and magnetic fields and their propagation, three constants are normally used. One is the speed of light c, and the other two are the electric permittivity of free space and the magnetic permeability of free space. The magnetic permeability of free space is taken to have the exact value

missing data

See also relative permeability

missing data

and then the electric permittivity takes the value given by the relationship

missing data

This gives a value

missing data

In the presence of polarizable or magnetic media, the effective constants will have different values. In the case of a polarizable medium, called a dielectric, the comparison is stated as a relative permittivity or a dielectric constant. In the case of magnetic media, the relative permeability may be stated. Index

missing data

Electric field concepts

HyperPhysics*****Electricity and Magnetism Go Back

....The connection of the Coulomb constant of equation for electrical F(em) = force in dynes , to the gravitational force in dynes = G(n):

ELECTRICAL;
F(em) = k * q(1) * q(2) / ( r^2 )...where r = separation of charges q in meters...and....k = ( c^2 ) / ( 10 ^ 7 ) = 1/ 4 / h / E

GRAVITATIONAL:
F(grav) = G(n) * m(1) * m(2) / ( r ^ 2 ) ...where r = separation of masses m in meters...

To understand the connection, set gravitational force equivalent to the dense Planck mass...M(p) = 2.176450264 * ( 10^-8 ) kilograms...:

1 / 2 / Pi = G(n) * ( M(p)^2 ) / h / c

....so that G(n) is equivalent to::

h * c / 2 / Pi / ( M(p)^2 ) = G(n)

.......and G(n)..F(em) ... in electrical form is :

1 / 4 / Pi / E = G(n) * (M(p)^2 ) / h / c / E / 2 = k

....which means the difference between the electrical (coulomb constant k ) and gravitational constant G(n) is the dense object, Planck mass as an energy form ...squared. The Planck mass is energized ...squared.., then cut by the quantum unit measure, planck constant = h ,..then cut by the expansion limit of space..c = speed of light...then cut by the electric limit of space..permeability... E = electric constant...then the whole equation cut exactly into two parts...:

G(n) = k * h * c * E * 2 / ( M(p)^2 )

k = G(n) * ( M(p)^2 ) / h / c / E / 2

...so by substitution into the respective energy F equations:

F(em) = G(n) * ( M(p)^2 ) * q(1) * q(2) / ( r^2 ) / h / c / E / 2

F(grav) = k * h * c * E * 2 * m(1) * m(2) / (( M(p) * r ) ^ 2 )

The interpretation of the two equations is interesting...F(gravity) shows that distance, as separation of two masses...m(1) and m(2) ..is functional as Planck mass transformed INTO length..!!! ...( M(p) * r ) ^ 2....G(n) in the gravitational form is actually...k*h*c*E*2... times the product of two masses...F(em) shows gravity as a multiplier of Planck mass density squared times any product of two charges divided by an actual length ..(r^2)... buffered by h , c , E and 2. What does buffer mean? It means distance is expanded by the strength ratio of the energy forms..electrical being 10^41 times more powerful than gravity as a function of metric distance separation.

J.Iuliano

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99.82.8 BBC Science Article: Scientists freeze light....Rubidium (Iuliano) 

From: Jerryiuliano@aol.com
To: MetPhys@aol.com
Subject: BBC Science Article: Scientists freeze light....Rubidium
Date: 12/14/03

From MetPhys:

Sir,

I noticed that Rubidium is used in one of the latest scientific experiments to "stop light for a millisecond". You have also spoken about Rubidium in other email to us. Could you tell us exactly what is so special about this element Rubidium?

MP:

You have to understand the influence that I put on all of the physical to mythological holographic transformations that occur through the integer 37. Everything that I know or study including the Fermat equation forms derive out of the use of this integer......37..... as the =KEY= element in transforming these equations to holographic mathematical conditions, that is 37 breaks all rules of mathematics in being able to do some extraordinary mathematical gymnastics to unite various totally unrelated measured hardness's in Nature by equation only... 37 is the "organizer" of all things naturally chaotic, including the "Queen of Mathematics" a study of rational numbers through number theory, Fermat form diophantine equations, Pythagoras's concept of number as "unbreakable integer" etc...

The Rubidium atom just happens to have atomic number 37. Symbolically this suggest an element that is mercurial or volatile and this is just what it is in exposure to air or water.The secret to Rubidiums strangeness has to lie in its atomic number as integer 37. According to that article I sent to you about Rubidiumness in that it suggests a "holographic" intelligence in a matrix and that is right where the Fermat forms sit on the torus as a doubly periodic modular systems in a 10000 dimensional cyclic that is modular only because of the integer 37. The integer 37 generates the entire solution nodes of the Fermat of this giant system of 10000 dimensional modularism..(actually repeats or becomes modular at dimension 10011) .... a recent discovery concerns another nail in the structure as to Beta 37's importance as a function relating to physical realities... the values of the pion, tau and muon particles:

TAU particle = 1777.08 mev
MUON particle = 105.658389 mev
PION particle = 139.57018 mev.
fine-structure constant = a(em) = 1/137.036000986

CHEOPS constructs...( 10 ^ ( 2*ht/bl ) / ( .37 ^ 2 ) = 1/a(em)... ht = 486.2560047 ft,bl = 763.81 ft
ht / bl = TAU / PION / 20.........PION = 139.5716929
ht / bl = ( log ( sqrt ( MUON * TAU ))) - 2 ..........MUON = 105.56772

FINE-STRUCTURE constant = a(em) = 1/137.036000986...
sqrt ( 1 / a(em) = (( 10 ^ ( TAU / PION / 20 )) / .37 ......PION = 139.5716925
sqrt ( 1 / a(em) = ( sqrt ( MUON * TAU )) / 37 .....MUON = 105.5677208

COLLECTIVE UNCONSCIOUS constant....144 / 37 = 3.89189189...
144.0068855 / 37 = log (( sqrt ( MUON * TAU )) * 18 .....MUON.TAU exact
144.0002433 / 37 = log (( 10 ^ ( TAU / PION / 20 )) * 1800 )......PION, TAU exact

The integer 37 is the collective unconscious activator, it can move through multiple dimensions as can be shown by Fermat equations, it is the atomic number of the strangest most versatile element in Nature (Rubidium) it absolutely rules outright the integer number system, it can act like Pi or e or even Phi when it desires to... a magical number that is God (Theomatic Bible has Christ as the number 37), 288 sparks etc. the absolute body temperature of sentient humans 98.6 F or 37 degrees Celsius (metric). I have also shown how it actually unites all measuring systems Egyptian, English, and Metric etc. a magical number that is divine on origin.....the following relationships were derived from 37.

The 1998 Co-data values of the proton , neutron and electron in million electron volts:

NEUTRON = 939.56533 mev = Nmev

PROTON = 938.271998 mev = Pmev

ELECTRON = .510998902 mev = emev

...the difference in energy values of the proton and neutron is rationally derived:

( .510998902 + ( 3 / 4 )) * ( 40 / 39 ) = 939.565330207 - 939.271998

...which reduces to :

( 40 * emev / 39 ) + ( 10 / 13 ) = Nmev - Pmev

...these values are exact to 1998 Co-data , with the error being taken out in the neutron value...939.56533 / 939.565330207 = .999999999787 % of measured....

...interesting to note that 10 / 13 is measured in mev's as well as the cutting energy...39 mev. This equation should be able to be interpreted to transform into a device that has 40 units of electron units...40*emev... which is then cut into exact units of 39 total equal energy units...40*emev / 39 .... and then added to exactly ten thirteenths..( 10 / 13 ).. units of million electron volts to arrive at exactly the energy difference between the proton and neutron... with a slight change everything is in units of mev as rational numbers:

(( 40 / 39 )mev * emev ) + ( 10 / 13 )mev = Nmev - Pmev

....Note how the ratio 40/39 is almost one or that it is an increase from the energy value of the electron by slightly more than unit 1...40/39 = 1.025641026...mev...also note that by multiplying 10 by four and 13 by three one can derive the 40/39 ratio. This equation is very accurate to the most recent values of these foundational particles..which represent centerline values of entities measured to 10 billionths of an electron volt.

J.Iuliano

final protected static double Alpha=1/137.03599976; // fine structure constant

final protected static double Me=0.510998902; // electron mass (MeV)

final protected static double Ry=13.60569172; // Rydberg energy (eV)

final protected static double K=0.307075; // in the ionization formula (MeV*cm2/g)

final protected static double C=2.99792458e10; // speed of light (cm/s)

final protected static double Re=2.817940285e-13; // classical electron radius (cm)

final protected static double Na=6.02214199e23; // Avogadro's number (1/mol)

final protected static double Mmu=105.658389; // muon mass (MeV)

final protected static double Lmu=2.19703e-6; // muon lifetime (sec)

final protected static double Mtau=1777.03; // tau mass (MeV)

final protected static double Ltau=290.6e-15; // tau lifetime (sec)

final protected static double Mpi=139.57018; // pion mass (MeV)

final protected static double Mp=938.271998; // proton mass (MeV)

final protected static double Mn=939.56533; // neutron mass (MeV)

...interesting to note that the Tau mass mev = 1777.03mev and the Pion mass 139.57018mev are directly related by the Cheops pyramid constructs :

height = 486.256 ft
base leg = 763.81 ft

1777.06072 / 139.57018 / 20 = 486.256 / 763.81

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99.82.9 Subject: Apollonian packing constant and gravity (Iuliano) 

Subject: Apollonian packing constant and gravity
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Sun, February 15, 2004 3:34 pm

The Hausdorf dimension of the Apollonian packing of circles. P B Thomas and D DharTheor. Phys. Group, Tata Inst. of Fundamental Res., Bombay, India

Abstract.

We formulate the problem of determining the Hausdorf dimension, df, of the Apollonian packing of circles as an eigenvalue problem of a linear integral equation. We show that solving a finite-dimensional approximation to this infinite-order matrix equation and extrapolating the results provides a fast algorithm for obtaining high-precision numerical estimates for df. We find that df=1.305 686 729(10). This is consistent with the rigorously known bounds on df, and improves the precision of the existing estimate by three orders of magnitude. URL: stacks.iop.org/0305-4470/27/2257DOI: 10.1088/0305-4470/27/7/007

The Apollonian packing constant as fractal number ( 1.305686729 ) can be defined as functions of electronic and gravitational constants derived of the ancient Hebrew form of genesis as symbolic number ..."288 sparks from broken vessels"...:

The number phi..1.6180339...is the main conduit for the transformation:

Letting:

emev = electron energy = .510998918..mev....(2002 NIST)

App = Apollonian packing constant = 1.3056....use this value

phi = ( sqrt 5 + 1 ) / 2 = 1.6180339...

a = leg of equilateral triangle = .77655042
b = altitude of equilateral triangle of base leg a = .6725124603

Gn = gravitational constant = 6.6742..... * ( 10 ^ - 11)....( 2002 NIST ) a * b / 2 = area of equilateral triangle

ROOT FORM ....288...since the cosine in Sumerian ( 360 degrees unit circle ) of the Hebrew genesis form ( 288 sparks from broken vessels ) is a function of phi then it can be demonstrated: cosine in degrees:

((( 1 / ( cos 287.99957 )) -1 ) * emev )) ^ 2 = 1.305686.. = Apollonian constant

......which leads to the Apollonian constant connection through phi:

App / 5 = emev ^ 2 = a * b / 2 ...ratios of base leg (a) to altitude (b) in the equilateral triangle is always a function of 3/4:

( emev ^ 4 ) * 4 / ( b ^ 4 ) = ( a / b ) ^ 2 = 4/3 = App * ( emev ^2 ) * 4 / 5 / ( b ^2 )

...this is the spherical volume formula: radius = r...4/3 * Pi * ( r ^3 ) App * ( emev ^ 4 ) * 4 / 5 / ( b ^ 4 ) * Pi * ( r ^ 3 ) = volume sphere

....since ...App / 5 = electron squared:

....then the electron is defined as:

sqrt ( App / 5 ) = sqrt App / sqrt 5 = emev

....however , sqrt 5 , is a factor of phi: sqrt 5 = ( sqrt App ) / emev

...which now can describe phi as:

(( sqrt 5 ) + 1 ) / 2 = (( sqrt App ) / emev ) + 1 ) / 2 = phi

...since emev squared is a function of the gravitational constant Gn = 6.6742 * ( 10 ^ - 11 ):

10 ^ (( 10 ^ ( emev ^ 2 )) - 12 ) = 6.674201104 * ( 10 ^ - 11 ) = Gn ...then it can be demonstrated that the Apollonian packing constant is a function of the gravitational constant Gn:

10 ^ (( 10 ^ ( App / 5 )) - 12 ) = 6.674201104 * ( 10 ^ - 11) = Gn

J . Iuliano

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99.82.10 Mathematical TOE (Iuliano) 

Subject: Mathematical TOE
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Wed, February 18, 2004 8:07 pm

Sir:

The Theory of Everything in mathematical constants:

Let:

CONSTANT % OF 2002 NIST VALUE

emev = electron energy = .5109988994 mev..............( .99999995 )

pmev = proton energy = 938.272029 mev .....................( exact )

aem = fine-structure = 1 / 137.0359985....................( .999999991 )

as = strong force = 13.99996968............................( .999998 )

Gw = weak force = .0000116640827.............................( .99999 )

Gn = gravitational = 6.674199478 * ( 10 ^ - 11 ).........( .99999992 )

F = Feigenbaum constant = 4.669201609....................( exact )

...then it can be demonstrated:

MASTER FORMULA: ( 82944 - ( 37 / 18 )) * (( 37 * 18 ) ^ Pi ) = (( emev ^ 2 ) * pmev * 100 ) ^ Pi

PROTON: 938.272029 = emev / F / Gw / 10

ELECTRON: .5109988934 = sqrt( log(( log Gn ) + 12 ))

FINE-STRUCTURE CONSTANT: 1/137.0359985 = 1 / (((( log emev ) + 12 ) ^ 2 ) - ( emev/ 10 ))

STRONG FORCE: 13.999966968 = 2 * emev / (( 2 * .018 ) + .037 )

WEAK FORCE: .0000116640827 = emev / pmev / F / 10

GRAVITATIONAL FORCE: 6.674199478 * ( 10 ^ - 11 ) = 10 ^ (( 10 ^ ( emev^ 2 )) + 12 )

....the Feigenbaum constant has the following strange property:tangent in radians:

( tan F ) ^ ( - 1 / Pi ) = cos ( 1 / aem )

...when F = 4.669205315

...the only constants used to describe all six constants ...12 , 2 , 37 , 18 , 10 and Pi, note that the electron... emev ...is in every formula

J.Iuliano

Reference for four fundamental forces the book by Michio Kaku, "QUANTUM THEORY: A MODERN INTRODUCTION", Oxford press 1993, page 9

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99.82.11 TOE equations and 37*18 (Iuliano) 

Subject: TOE equations and 37*18
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Thu, January 29, 2004 7:58 pm

MP

With the release of the 2002 data for NIST fundamental constants the following TOE equations can be demonstrated to high accuracy.

Letting:

pmev = proton = 938.272029 mev....(2002 NIST ....exact)

emev = electron = .51998918 mev...(2002 NIST....exact)

Gw=fermi-coupling constant=weak force=.00001166402919..(2002=NIST..0000116639) Gn = gravitational force = 6.674201104 * (10 ^ -11)...(2002 NIST = 6.6742*(10^-11)

aem = fine-structure constant = 1/137.0359978895...(2002 NIST = 1/137.0359993)

F = feigenbaum number = 4.669201609....exact

c = speed of light = 299792458 m/s.....(2002 NIST...exact)

h = Plancks constant = 6.6260693*(10^-34) J......(2002 NIST...exact)

...the following identities can be demonstrated:

cosine in radians...cos

emev = (( cos 1/aem ) * Gw * F * 6660 ) ^ ( 1/3 )

log (( log Gn ) + 12 ) = (( cos 1/aem ) * Gw * F * 6660 ) ^ ( 2/3 )

pmev = ( cos 1/aem ) * 666 / log (( log Gn ) +12 )

The symbolism of the number 666 is defined by the strong force ...a(s) and the universal harmonic 82944:

( 10 ^ ( 82943.99298 / 32 / 666 )) / 666 = sqrt 137.0359978895

sqrt (( sqrt ( Gn * 2 * Pi / h / c )) / 666 ) / ( 10 ^ ( 4 / Pi )) = 14.0006745

.... 14 is the relative reference value of the strong gluon force when held in reference to the the other three fundamental forces,... aem , Gw , Gn... according to Michio Kaku's post grad book...Quantum Theory: A Modern Introduction..page 6..the strong force a(s) = 14.

By splitting the collective unconscious number 666 into its prime (37) and composite (18) components and throwing them at the Cheops pyramid form...10 ^ ( 4 / Pi ).... the collective unconscious constant...144/37=3.891891... can be linked holographically to the amplitude for an electron to emit or absorb a photon as defined by the fine-structure constant...aem:

( .3700006091 ^ 2 ) / ( 10 ^ ( 4 / Pi )) = aem

18 * ( 10 ^ (( 2 / Pi )+ 2 )) = 10 ^ ( 144.0000143 / 37 )

( 10 ^ ( 143.9999878 / 37 )) / 666 = sqrt 1/aem

.....cos 1/aem is modulo(10) to K from the following identities:

The deepest meaning of the 1/Pi..(1/3.141592654)...phenomena is as the supreme exponentational link to the "hard" constants of Nature:

FEIGENBAUM CONSTANT = 4.669201609...rule of order in chaotic systems

F= 4.6692043132.....tan in radians

100/[(tan F).........................^ (1/Pi)] = 36.7872976 = KGOLDEN MEAN = 1.618033989...rule of order in living forms systems

Phi = 1.618033989 = (1+sqrt5)/2...COS^-1 in degrees

[COS^-1[((sqrt 5 -1)/4)*1152]........^ (1/Pi) = 36.7872976 = KFINE-STRUCTURE CONSTANT = a(em) = amplitude for an electron-photon exchange, rule of proton-electron interactions.

a(em) = 1/137.036000986...cos in radians

(cos 1/(a(em))*100.................................= 36.7872976 = KCOLLECTIVE UNCONSCIOUS = 82944 = (288^2)...rule of brain/nervous/systems/symbolic

Prof. Leahy =(82944 logic) and Sephira Malkuth=(288 sparks) 82944................................... ^ (1/Pi) = 36.7872976 = KCOLLECTIVE UNCONSCIOUS:

Egyptian form, Cheops pyramid, Beta=.37

height = 486.256005976 feet = ht
base leg = 763.81 feet = bl...cos in radians

[cos [(10^(2*ht/bl))/(.37^2)]] * 100........= 36.7872976 = KCOLLECTIVE UNCONSCIOUS :

Pi form... cos in radians

[[cos[(10^((2/Pi)+(2/Pi))]/(.370000606^2)]*100 = 36.7872976 = KCOLLECTIVE UNCONSCIOUS:

Christian(666), Hebrew(288) form

cos in radians...

cos[(10^(287.999975988/37))/(666^2)]........= 36.7872976 = KNATURES CHARGED MASSES:

proton, positive; electron, negative

pmev = proton million electron volts = 938.271998 (NIST 1998) emev = electron million electron volts = .5109994691 [(10*pmev)^[(1/Pi)*(emev^-(1/Pi))]]..........................= 36.7872976 = KNATURES CHARGED MASSES:

and the collective unconscious as the electrons carrier

pmev = 938.271998
emev = .51100091734
pmev * (emev^2) / 6.66..............................= 36.7872976 = K

J.Iuliano

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© Copyright. Robert Grace. 2003