Subject: Secrets of 82944
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Thu, April 7, 2005 9:03 pm
......the temperament constant from the article below, 2 ^ (1/1200) = 1.00057779...is a function of the gravitational constant :e ^ (Pi+8) = Fermat form..harmonic mean of 37 and 57
G = 6.674241004 *( 10^ -11).....2002 NIST = 6.67420....* (10^-11)
Tm = 2 ^ ( 1/1200 ) = 1.00057779...
94 = 57+ 37 ( 10 ^ 94 ) * ( G ^ 9 ) / Tm = sqrt ( e^ ( Pi +8 ))
G = 6.67421523 * ( 10 ^ -11
Tm =2^ ( 1/ 1200 ) = 1.00057779...
57 / 3 = 19
Tm * ( G^2 ) * ( 10 ^ 19 ) = ( 37 + 57 ) / ( 37 * 57 )
J.Iuliano
_MMD_ (http://mmd.foxtail.com/index.html) _Archives_ (http://mmd.foxtail.com/archives.html) _November 1996_ (http://mmd.foxtail.com/Archives/Digests/199611.html) _1996.11.04_ (http://mmd.foxtail.com/Archives/Digests/199611/1996.11.04.html) 10 _Prev_ (http://mmd.foxtail.com/Archives/Digests/199611/1996.11.04.09.html) _Next_ (http://mmd.foxtail.com/Archives/Digests/199611/1996.11.05.01.html) Piano Tuning Math By _Robbie Rhodes_ (http://mmd.foxtail.com/Archives/Authors/Aut59.html) The logarithmic arithmetic developed by Napier and Briggs in the 17th century was soon applied to tuning the musical scale: the result was the "Equal Temperament Tuning", which was adopted immediately by composers who enjoyed lots of key-changes. True, the new tuning algorithm didn't sound quite as sweet with simple "diatonic" music, and so the Traditionalists continued to compose and perform using older methods of "Just Tuning". Others simply observed: "With the new tuning, now the Klavier sounds equally _bad_ in all keys!" Well, it's not a panacea, it's a compromise, with a sound mathematical description. (Since I enjoy playing with lots of key- and chord-changes myself, I tune my piano with the logarithmic Equal Temperament, like practically everyone else. Perhaps someday I'll get to play a fancy synthesizer, which dynamically adjusts the temperament for the "sweetest sound" for whichever chord (or dischord) I play at the moment!) Here's the mathematics in simple form, and you don't have to worry about logarithms if you have an engineering calculator (or equivalent in a computer "assistant"). The basis is simply that the frequency of each adjacent note on the piano keyboard differs by a constant _ratio_. Since the "octave" of the keyboard has 12 different notes, and since the frequency doubles in each octave, the ration is the twelfth root of two, which is 1.059463094. So, if I define my standard pitch as 220 Hz for the A below middle C, then when I multiply 220 by 1.056... _twelve_ times, I get the next octave higher, which is A = 440 Hz. 220.00 233.08 246.94 261.63 .... 369.9994 391.995 415.30 440.000 The piano tuner also geometrically sub-divides the ratio between adjacent tones into 100 parts, called "Cents". 1 Cent is the twelve-hundredth root of two, which is 1.000577790. Not much of a change, is it! But when I multiply 220.00 Hz by this tiny ratio one hundred times, I get the correct frequency of the next note, A# 233.08 Hz. Suppose, for example, the piano tuner reports that my "new" old piano is 20 Cents flat compared to concert pitch. Is this a lot? Well, since 100 Cents flat would amount to one note (key), the piano is 1/5-note flat. 5 times 12 is 60, so I find the sixtyth root of two, which is 1.0116, and then I divide 440 Hz by 1.0116 to discover that "A" on my piano is really at 434.95 Hz. That's 5 Hz (cycles per second) difference from concert pitch, and I can easily hear the 5 Hz beat frequency when the tuner strikes his A440 tuning fork and the piano key together. So, I instruct the tuner to "wind it up to concert pitch" and then I leave him alone for an hour or so. The result -- a properly tuned piano -- always pleases me! -- Robbie Rhodes (Message sent Tue 5 Nov 1996, 03:58:42 GMT, from time zone GMT-0800.)
Key Words in Subject: _Math_ (http://mmd.foxtail.com/Archives/KWIC/M.html#mat), _Piano_ (http://mmd.foxtail.com/Archives/KWIC/P.html#pia), _Tuning_ (http://mmd.foxtail.com/Archives/KWIC/T.html#tun) The secrets of 82944
TORUS/CYLINDER VOLUME: 2 * Pi * R * ( r^2 ) = v = volume torus/cylinder
R = loop radius to centerline tube = 57 units
r = tube radius = 37.000000005702
pmev = proton energy = 938.272029mev
cosine in radians 82944 ^ ( cos v ) = 10 * pmev
HYDROGEN ATOM: one proton; one electron
emev = electron energy = .510999475
Pi = 3.141592654...
82944 ^ ( emev ^ ( 1 / Pi )) = 10 * pmev
WEAK FORCE BOSONS: W+ and Zo neutrino
W+ = 80.4 Gev
Zo = 91.2028781 Gev
Fd = Feigenbaum delta constant = 4.669201609...
82944 ^ (( Fd / 10 ) ^ ( W+ / Zo / Pi )) = 10 * pmev
FEIGENBAUM DELTA CONSTANT:
Fd = 4.6692043132.., tan^-1 in radians:
tan^-1 (( 100 ^ Pi ) / 82944 ) = Fd
COLLECTIVE UNCONSCIOUS CONSTANT: 37(mod).891891891...
aem = fine-structure constant = 1 /137.0359993...
32 = directives to fly an Indian vimana :: 32 = paths of Kabbalic wisdom
( 10 ^ ( 82944 / 666 / 32.0000026925 )) / 666 = sqrt 1/aem
FINE-STRUCTURE CONSTANT: cosine in radian form:
aem = 1/ 137.036000986
( 82944 ^ ( 1 / Pi )) / 100 = cos 1/aem
FINE-STRUCTURE CONSTANT: cosine radian form:
aem = 1 /137.036000986...
W+ = 80.4 Gev
Zo = 91.203256 Gev
(( Fd / 10 ) ^ ( 2 * W+ / Zo )) * pmev / 666 = cos 1/aem
WEAK FORCE :
Gw = fermi coupling charge
Gw = .00001166412407Gev
emev = .510998986mev
W+ = 80.4 Gev
Zo = 91.203256 Gev
(( Fd / 10 ) ^ ( W+ / Zo )) / pmev / 100 / ( emev ^ ( Zo / W+ )) = Gw
...here the Feigenbaum delta constant ...Fd...has given up one of its deepest secrets with the unification of the four fundamental force constants. The formula unifies the neutrino mystery of the weak force, the W+ and Zo bosons of the fermi-coupling charge, Gf and Gw. The first equation lays out the basic structure:
emev / pmev / Gw
10 = Fd
...there are three universal constants here:
emev = electron energy = .510998986 mev
pmev = proton energy = 938.272029 mev
Gw = fermi-coupling charge = .00001166403038 Gev
W+ = 80.4 Gev
Zo = 91.2027465 Gev
...by forcing 10 into the denominator of the right side of the equation...Fd/10...and re-entering this result into the numerator of the left side of the equation results in the Feigenbaum delta equation itself !
(( Fd / 10 ) ^ ( W+ / Zo )) / pmev / Gw / 10 = Fd
...this answers the question, which came first the chicken or the egg. The Feigenbaum delta constant is both the chicken and egg !
egg = F delta chicken = (( Fd / 10 ) ^ ( W+ / Zo )) / pmev / Gw / 10 = Fd
...the weak force is the connector here, ratio of the two bosonic weak force particles, W+ and Zo off the Fd constant. The fine-structure constant...aem...is angular (A.Young) to the Fd constant:
aem = 1/ 137.03599801..
((( cos 1/aem ) * 666 / pmev ) ^ ( Zo / 2 / W+ )) * 10 = Fd
...the gravitational force ...Gn... is reduced to Fdelta through the W+ and Zo bosons:
Mp = Planck mass = 2.176449594 * ( 10 ^ - 8 ) kilograms
Gn = gravitational constant = 6.67420559 * ( 10 ^ - 11 ) m^3/kg/s^2
Gf = weak force derivative = 3.685861943 * ( 10 ^ - 82 ) Gev
((( Gn^3 )*( Mp^6 )/pmev/Gf )^(Zo/(Zo - W+))) / (10^((Zo + W+)/(Zo - W+))) = Fd
...which can be set into the equality:
( Gn^3 )*( Mp^6 )/pmev / Gf = ( Fd^( 1 - ( W+ / Zo )))*( 10 ^ ( 1 + ( W+ / Zo ))) 91.37398972 = 91.37398957
...the equation above demonstrates that Fd and 10 are of the same "weight" since they both use "theta" factors...sin^2 (1-Z/W ) = theta ...equally. Placing Fd and 10 in ratio with the electron, symmetrically around the proton, strangely has the same effect as the Fd---10 expression ( 1 - ( W+/Zo ) and ( 1 + ( W+/Zo ), this time showing that the electron is mathematically the same as Fd !!!
(( Fd / 10 ) ^ ( W+ / Zo )) / pmev / ( emev ^ ( Zo / W+ )) / 100 = Gw So Fd, the electron and 10 are all transformed by the weak force bosons, W+ and Zo, into the four-fundamental forces. An amazing discovery has been made concerning the integer 57, the paired harmonic with 37 used in many formulas:
( e ^ ( Pi + 7.99999980141)) * (( 1/37 + 1/57 ) ^ 2 ) = 1/ aem
...the collective unconscious form...10 ^ (144/37)...has always been 37's domain because of formulas like this:
( 10 ^ ( 143.999987884 / 37 )) / 666 = sqrt 1/aem
...where the constant.....891891891.... has been known as the collective unconscious number because it is modulo to 37. 57 can also be demonstrated as a collective unconscious generator because of this formula:
( 10 ^ ( 143.999987884 / 37 )) = (( 56.99993566 * 2 * Pi ) ^ - 2 ) * ( 10 ^ 9 )
...such that:
(( 56.99993566 * 2 * Pi ) ^ -2 ) / .000000666 = sqrt 1/aem
...this is important because the iteration formula uses .077963562... as its constant:
Letting x = any real number less than 5, such that: e = natural log = 2.7182818..
10 ^ -((( e ^ x ) * .1 ) +1 ) = x(1)
...keep feeding back x(1) to the left side of the equation...e^x...After several reiterations, x always settles on the constant number ..(.077963562..)
..this is the definition of an iterated fractal:
( log ( .077963562 * ( 10 ^ 5 ))) * 37 = 143.9999919...
...57 is important because in the torus/cylinder structure with loop radius = 57 units and tube radius = 37 units, the cosine in radians of the torus volume to the Pi'th power equals the energy of the electron:
TORUS / CYLINDER VOLUME = 2 * ( Pi ^ 2 ) * R * ( r ^ 2 ) = v
R = 57
r = 37.000000005702...
( cos ^ v ) ^ Pi = emev
TORUS / CYLINDER SURFACE AREA = 4 * ( Pi ^ 2 ) * R * r = s
r = 37
R = 57
Mp = Planck mass = 2.176449594 * ( 10 ^ - 8 ) kilograms
( 4 * ( Pi ^ 2 ) * R * r / ((( Mp ^ 3 ) / ( 4 / Pi / E / ( c ^ 2 )) ^ 4 )) ^ Pi = emev
...however the collective unconscious constant is modulo 37 :: mod .891891891, through R = 57:
(( R * 2 * Pi ) ^ - 2 ) - ( 10 ^ 9 ) = 7796.336076..
...where:
10 ^ ( 143.999950421 / r ) = 7796.336076
...substituting into the electron equation: X= 143.999950421
( 10 ^ ( x / 37 ) - 9 )) ^ (-1/2 ) * 2 * Pi * R / ( Mp ^ 3 ) / ( 10 ^ 28 )) ^ Pi = emev
...reducing to:
1 / ( Mp ^ 2 ) = ( emev^( 1/Pi ))*( 10^28 )*Mp/r/Pi/2/(10^((144/37)-9)) ^(-1/2)
...however:
1/(Mp ^ 2) equals:
Gn * 2 * Pi / h / c = 1 / ( Mp ^ 2 )
...reducing:
...the electron energy ...emev... is spread by Pi over the surface area of a torus that has r = 37 and R = 57 as parameters, with a three dimensional mass...Mp...sitting in the hole of the torus...r = 36.999722222...:
( emev ^ ( 1 / Pi )) * ( Mp ^ 3 ) * ( 10 ^ 28 ) = 4 * ( pi ^ 2 ) * R * r = s
...the collective unconscious constant...log modulo 37 :: .891891891... uses a perfect circle...2 * Pi * r... ( a halo ) to transform into a torus surface area:
x=143.99995042 / 37
( 10 ^ (( - x + 9 ) / 2 )) * 2 * Pi * r = s = 4 * ( Pi ^ 2 ) * R * r
...the electron uses Pi and the Planck mass...Mp... to transform to the torus surface area, while the collective unconscious constant uses a perfect circle ( halo ) to transform to the torus surface area.
...interesting to note, that if you clear out the left side of the collective unconscious equation to it's root, then a perfect circle with 57 as radius results: x = 143.999950421 / 37:
(( 10 ^ (( - x + 9 / 2 ) = 2 * Pi * R
...now this is amazing, the collective unconscious by itself is a perfect circle, with a radius of 57 units. Multiply it by a perfect circle with a radius of 37 and out comes the surface area of a torus/cylinder, that "collects" the energy of the electron when a three dimensional Planck mass sits at the center of the torus. This sheds light on the mystery of the integer 37. If the collective unconscious form is a perfect circle of radius 57, then the integer 37 is the radius of a perfect circle that results when you divide the electron energy charge that exists on a torus surface with centric Planck mass cubed by the collective unconscious form...2 * Pi * R: x = 144.000191686
( emec ^ ( 1 / Pi )) * ( Mp ^ 3 ) * ( 10 ^ 28 ) / (( 10 ^ (( - x + 9 ) / 2 )) = 2 * Pi * r
...this makes the Christhead number (37) understandable as a ring of light or halo. The intoto reaction of physical electronic energy ...emec...stripping energy from the Planck mass cube through the torus surface area, divided by the x minus 9 collective unconscious constant equals a perfect circle whose radius is Christ or 37:
J.Iuliano
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Newtonian constant of gravitation Value 6.6742 x 10-11 m3 kg-1 s-2 Standard uncertainty 0.0010 x 10-11 m3 kg-1 s-2 Relative standard uncertainty 1.5 x 10-4 Concise form 6.6742(10) x 10-11 m3 kg-1 s-2 Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?bg|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?bg|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Fermi coupling constant Value 1.166 39 x 10-5 GeV-2 Standard uncertainty 0.000 01 x 10-5 GeV-2 Relative standard uncertainty 8.6 x 10-6 Concise form 1.166 39(1) x 10-5 GeV-2 Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?gf|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?gf|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Click symbol for equation fine-structure constant (http://physics.nist.gov/cgi-bin/cuu/Value?eqalph|search_for=fine-structure) Value 7.297 352 568 x 10-3 Standard uncertainty 0.000 000 024 x 10-3 Relative standard uncertainty 3.3 x 10-9 Concise form 7.297 352 568(24) x 10-3 Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?alph|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Click symbol for equation Planck mass (http://physics.nist.gov/cgi-bin/cuu/Value?eqplkm|search_for=Planck+mass) Value 2.176 45 x 10-8 kg Standard uncertainty 0.000 16 x 10-8 kg Relative standard uncertainty 7.5 x 10-5 Concise form 2.176 45(16) x 10-8 kg Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?plkm|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?plkm|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Click symbol for equation proton mass energy equivalent in MeV (http://physics.nist.gov/cgi-bin/cuu/Value?eqmpc2mev|search_for=proton+mev) Value 938.272 029 MeV Standard uncertainty 0.000 080 MeV Relative standard uncertainty 8.6 x 10-8 Concise form 938.272 029(80) MeV Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?mpc2mev|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?mpc2mev|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Click symbol for equation electron mass energy equivalent in MeV (http://physics.nist.gov/cgi-bin/cuu/Value?eqmec2mev|search_for=electron+mev) Value 0.510 998 918 MeV Standard uncertainty 0.000 000 044 MeV Relative standard uncertainty 8.6 x 10-8 Concise form 0.510 998 918(44) MeV Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?mec2mev|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?mec2mev|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) speed of light in vacuum Value 299 792 458 m s-1 Standard uncertainty (exact) Relative standard uncertainty (exact) Concise form 299 792 458 m s-1 Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?c|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?c|ShowFirst=Browse) (http://physics.nist.gov/cuu/index.html) (http://physics.nist.gov/cuu/Constants/index.html) Constants Topics: _Values_ (http://physics.nist.gov/cuu/Constants/index.html) _Energy Equivalents_ (http://physics.nist.gov/cuu/Constants/energy.html) _Searchable Bibliography_ (http://physics.nist.gov/cuu/Constants/Citations/Search.html) _Background_ (http://physics.nist.gov/cuu/Constants/background.html)
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_Constants, Units & Uncertainty home page_ (http://physics.nist.gov/cuu/index.html) Planck constant Value 6.626 0693 x 10-34 J s Standard uncertainty 0.000 0011 x 10-34 J s Relative standard uncertainty 1.7 x 10-7 Concise form 6.626 0693(11) x 10-34 J s Click _here_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?h|ShowFirst=Browse) for correlation coefficient of this constant with other constants _Source: 2002 CODATA_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _ recommended values_ (http://physics.nist.gov/cuu/Constants/bibliography.html) _Definition of uncertainty_ (http://physics.nist.gov/cgi-bin/cuu/Info/Constants/definitions.html) _Correlation coefficient with any other constant_ (http://physics.nist.gov/cgi-bin/cuu/CCValue?h|ShowFirst=Browse)
From: JerryIuliano@aol.com
[B] set....
************************************
[Bb] set....???
AYG:
{0}-(B1) micro-infinite and {1}-(B3) micro-finite could be
the Father or Creator (unity), while {.5}-(B2)-micro-finite and
{2}-(B4) micro-finite is the actual reality of the Christ-head
physical being, of gnomonic growth or root of 5, the golden
number:
...( sqrt5 + 1) / 2 = 1.61801339875... = theta....DaVinci code...etc.
The Father (unity) mathematically "shakes" out the Son (37), the Christ-head who becomes "theta" or the golden number, that is ...in the unit (1 = unity) lie the two integers of 37 as the main activator of the whole, proton to electron exchange of the fine-structure constant energy function:
aem = 1/137.03599970078.... = fine-structure constant:
..dimensionless
(( cos( c * aem / .37 )) * 2 ) =
cos( 2 * Pi ) = 1
The importance of "theta" as a "holographic" gnomonic function demonstrated as the "rotation" of Nature .. A.Young ( "angle of the fine-structure constant, everything is angular"..cosine in radians ) of alpha...aem. Of note is Beta's (.37) holographic exchange with c ( lightspeed metric). 37 is a semantic/mathematical/symbolic metaphor for "light". 37's role is as an all encompassing "weight" to theta's rule of "harmonic gnomonic" growth. The integer 37 breaks the cosine barrier of linear to angular transformations. This isn't supposed to mathematically be possible with the cosine function acting as a "shield" to mathematical attacks. To transform angular forms to linear forms is difficult to do with relative accuracy because of the extreme sensitivity of the cosine
function to such small changes in angle resulting in large changes of linearity. What is important in the exchanged equations is the parenthesis symbols loading up on either end of the equation and the change of product (*) symbol to exponent (^) symbol in equation substitutions....unexplainable
as to why this is allowed.... If 2 times Pi is made into a unit circle then the activator here is : God = sqrt of 2 = radius of a 2*Pi circumference... sqrt 2 = radius of a 2*Pi circle. I believe somebody was once drowned because of proof of knowledge of the sqrt of 2's Pythagorean dillusion.
J.Iuliano
Subject: Fdelta and alpha maximum force
MP:
" ...... There is a maximum force in Nature. For all systems:
Fmax = maximum force = ( c ^ 4 ) / 4 / Gn = 3.02568971 * ( 10 ^ 43 )
c = speed of light = 299792458 m/s
Gn = gravitational constant = 6.67420559 * ( 10 ^ - 11 ) m^3/kg/s^2
" ...the value of the maximum force is the mass-energy of a black
hole times its mass. The force limit thus claims that no physical system of a given mass can be concentrated in a region of space-time smaller than a ( non-rotating ) black hole of that mass. It is easily checked that the maximum force is valid for all systems observed in Nature, whether they are microscopic, macroscopic, or astrophysical, neither the gravitational force nor the electro-magnetic or the nuclear interactions are found to ever exceed this limit..." end quote
The Feigenbaum constants can show a form of this limit by a series
of stacked natural logs:
Fd = Feigenbaum delta constant ( length ) = 4.66902897...actual 4.669201609...
e ^ ( e ^ ( e ^ ( Fd - Pi ))) = ( c ^ 2 ) / 4 / Gn
E = permittivity of space = 8.854187818 * ( 10 ^ - 12 ) Fm
e ^ ( e ^ ( Fd - Pi )) = E * ( c ^ 2 ) * .079998364 * bl * ( 57 ^ 2 )
( e ^ ( Fd - Pi ) = Fa / .024999505..
...the maximum force equation has a similar layered structure:
IN ( IN ( IN (( c ^ 4 ) / 4 / Gn ))) = Fd - Pi
Letting:
E = energy flowing through a horizon surface ( black hole )
...then it can be demonstrated:
E / L / A = e ^ ( e ^ ( e ^ ( Fd - Pi )))
...a compilation of forms:
Fd = 4.66902897....actual = 4.669201609...
e ^ ( Fa * 40 ) = e ^ ( e ^ ( e ^ ( Fd - Pi ))) = ( c ^ 4 ) / 4 / Gn
...the Fermat form ...Pi^2 + 8*Pi... is a function of the RATIO of Fdelta to Falpha:
80000 / ((( Pi ^ 2 ) + ( 8.00000666.. * Pi )) ^ 3 ) = 4.669201609 / 2.502907875
...(.37 Beta ) has relationship to the PRODUCT of Fdelta (length)
and Falpha (width) using the collective unconscious modulo (37) mod==
.891891891...
.37 * 2.89189189189 = 1.07
( 16000 - 1.07 ) / ( 37 ^ 2 ) = 4.669201609 * 2.502907868...
the reference for the maximum force equation:
_http://www.arxiv.org/PS_cache/physics/pdf/0309/0309118.pdf_
J.Iuliano
Subject: Great Pyramid 44' X 44' Altar
Source: www.celticnz.org
THE SIGNIFICANCE OF THE GREAT PYRAMID'S SIDE ANGLE.
Various degree angles have been postulated as the exact angle for the diagonal faces of the Great Pyramid and it is now generally accepted that the intended angle was very close to 51 degrees & 51 minutes. In a decimal rendition, this would equate to 51.85 degrees. The means whereby the angle has been estimated in modern times is based upon the few remaining weather worn casing stones at the base of the pyramid. Thankfully, one solitary course was buried under a high bank of sand during the era when the outer casing stones were being ravaged and plundered to build the city of Cairo.
Figure 4: The few solitary casing stones at the bottom of the Great Pyramid. These too would have been removed were it not for the good fortune that they were covered in tons of sand and inaccessible to those
who plundered the Pyramid's stone to build the city of Cairo. These beautiful white limestone casing stones once sheathed the entirety of the Great Pyramid on every face, all the way up to its 44' X 44' flat floor altar
on the top of the pyramid.
There are various degree angles given, all in the vicinity of 51.85 degrees, which different scientists have determined represent the
intended, finite angle of the Great Pyramid. Because of the weather worn and sand lashed condition of these limestone sheathed surfaces, the exact degree angle will never be resolved, definitively, by averaging the damaged angles of the casing stones themselves. We do, however, know that the architects were aiming for a figure around 51.85 degrees.
Happily, the true figure can easily be identified mathematically, as there is only one plausible possibility.
1. The sought after, coded angle was 51.84 degrees...for the following reasons:
2. The number 51.84 is an exact fraction of 25920, the anciently used number that described, in years, the duration of the Precession
of the Equinoxes for a complete circuit (51.84 X 500 = 25920).
3. The angle, 51.84 degrees, divided by 2 = 25.92...again coding the appropriate numbers related to the Precession of the Equinoxes.
4. It has been determined, through comparative analysis, that the ancient reed measurement was 10.5 feet or 126 inches. Therefore,
given that the true length of the Great Pyramid was 756 feet, which equates to 72 reeds per side, the total area that the pyramid covers
is 72 X 72 reeds or 5184 square reeds.
5. It will be shown that the Heel stone at Stonehenge resides 259.20 feet from the exact centre of the site to the outlying face of the
stone, The azimuth angle from site centre to the south-western extremity face of the stone was intended to convey 51.84 degrees off
North.
Figure 5: A drawing of a surviving casing stone as per the close proximity dimensions given by W. F. Petrie. The extended lines (red) indicate the probable geometric coding that the architects wished to demonstrate in a block, 8' X 12' of base measure and having a rear height of essentially 5 feet. The 6.4 feet of diagonal face alludes to the very important "64" code. If the block were allowed to run to a point where the face diagonal intersected with the rear vertical line, then the distance covered would be 12.96 feet. This number is a very important code of antiquity that relates to the duration of the Precession of the Equinoxes...25920 years Ö 2 = 12960 years. ....end of article....
Discovered 4-19-05....
Concerning the 44 foot by 44 foot altar floor at the top of the pyramid, this equation was noted: e = natural log = 2.718281828...
((( 44.00016823 / 37 ) ^ 4 ) * 10 ) + Pi = e ^ Pi
440 / 37 = 11.891891891... a collective unconscious modulo toÊ37
...concerning the angle of the face wall of the Cheops pyramid ..51.85 degrees...which is noted in sumerian degrees ...360 units...it was discovered that the fine-structure constant ...aem = 1/137.036...transformed the Cheops face angle from degrees toÊ radians:cos in radians
( cos 51.849982814 ) * 1000 = -137.036001....= -1/aem
25920 is Plato's cyclic and is a collective unconscious constant determining fine-structure:
(10 ^ ( 2591.999784 / 666 ) / 666 ) = sqrt 137.036001
J.Iuliano
Subject: Pyramid Side Angle = Hubble expansion factor of space?
MP: Some time ago I read that these calculations of the side angle of the Cheops
pyramid is equivalent, by some clever mathematics, to the expansion factor
of space. Can you possibly demonstrate this amazing concept, if true?
Robert Grace
MP: By the expansion factor you mean the Hubble expansion factor or meters
per second per cubic meter, not very accurately measured as of yet ....JI
....Have a look at this strange response to the Cheops face angle article.
The picture of the Egyptian standing next to the cut face angle block should
be at the bottom.
.......From: SIREBARD
The 'thing' about the geometrical construction of the khufu/cheops
great pyramid is the ancient idea of 'squaring the circle'.
I shall outline this encoding, preluding the further discussion, ending
with the potential 1D digitalization of the 2D hologramically encrypted
information mapped from the 3D geometry of the Platonic Solids.
Consider a square side S and perimeter 4S being equal to the perimeter
of a circle in 2pR, where radius R is the height H=R for the
semi-octahedron, represented by the great pyramid.
Simple Euclidean geometry now sets the square's diameter as 2D, with the
applied Pythagorean Theorem stating: 4D^2=2.(p/2)^2, as S=pR/2.
Therefore D=pR/Sqrt[8] and the face-angle q for the pyramid is
tanq=R/(pR/4)=4/p for q=51.85397402 degrees or 51 degrees 51' 14.31".
This precise value is known as the pyramidic p-angle and is formed
opposite the height H=R at the midpoint of a side S and the hypotenuse
of the right-angled triangle joining this midpoint to the pyramid's
apex as the geometrical height h for this particular face of the
pyramid.
Rybo wrote in theoryofeverything:
The Cheops pyramid face angle....51.85 degrees...can describe
both the fine-structure constant...aem = 1/137.036... and the
Feigenbaum delta constant...Fd = 4.669201609...because of the ability
for angle transformation that the fine-structure constant does on the
face angle: transforming the face angle from degrees Sumerian..360.. to
radians ...Pi form.:
aem = fine-structure constant = 1/137.036001...
cosine in radians
Cheops pyramid face angle = 51.849982814....degrees Sumerian
( cos 51.849982814 ) * ( 10 ^ 4 ) = - 1/137.036001..
= -aem
Incorrect (in degrees), as
cos[51.849982814]*(10^4)=6,177.226064=10^4/1.61884961~X=0.618033.
{Note that the angular degree measure approximates Phi=X=(Sqrt[5]-1)/2
as the inverse f angle is given as 51.8539722 degrees or 51 deg. 51' 14.3" in
most references and as derived in the introduction.
Now converting this into radians creates a deceptive scenario for a
possible link to the alpha finestructure constant, because of the
sensitivity of the decimal point for the cosine evaluation.
Proof: (argument in radians, 1 radian=Degrees*180/p)
Golden Mean: cos[51.82729238]*10^4=89.86283361
Zero: cos[51.83627878]*10^4=0
Iuliano: cos[51.849982814]*10^4= angle is given as 51.8539722 degrees or 51 deg. 51' 14.3" in
most references and as derived in the introduction.
Now converting this into radians creates a deceptive scenario for a
possible link to the alpha finestructure constant, because of the
sensitivity of the decimal point for the cosine evaluation.
Proof: (argument in radians, 1 radian=Degrees*180/p)
Golden Mean: cos[51.82729238]*10^4=89.86283361
Zero: cos[51.83627878]*10^4=0
Iuliano: cos[51.849982814]*10^4=-137.0359686 (reverse
engineering?!)
Measured Angle: cos[51.8539722]*10^4=-176.9249263
A change in radian measure at the second decimal place changes the
calculated cosine value significantly, as 0.02 radians convert to 1.146
degrees, which can change even the sign of the resultant calculation as
seen above for a spread of the values spanning from 89.863 for the
Golden Mean to -176.925 for the textbook value for the specified angle.
...to arrive at the Feigenbaum delta constant, one must
subtract the radian from the Cheops face angle. This is interesting
because now the direct connection can be shown as a simple subtraction
of the radian...180/pi.. from the face angle, which suggests
dimensionlessness.
(( radian - 51.849982814 ) ^ ( 1/4 )) + Pi = Fd = 4.669212726...
This is ok. Also note that the Feigenbaum Delta forms the lower limit
for the Shannon-Information Bound ln26/ln2=4.700439718; the latter
being upper bounded by the curvature constant 3p/2=4.71238898.
The Shannon-Information bound relates to the lefthanded Bosonic
Superstring in 26 dimensions and the Curvature-Bound relates the
4D-Riemann Hypersphere or 3D-Torus volume to the 3D-Sphere
in transforming the volume(r^3)-coefficients between 2p^2 for the
convex circumscribed sphere to 4p/3 for the concave 'inner
doughnut hole' for an observer situated at the toroidal centre.
...a form measured in radian degree equals the Feigenbaum delta
constant...4.669201609... this is a complete crossover of dimensionals.
Another angular crossover is the equivalency:
( 82944 ^ (( tan 51.85397402 ) / 4 )) / 100 = cos 1/aem
...here tangent is measured in degrees, cosine in radians. This
is the derivative:
( 82944 ^ ( 1/ Pi )) / 100 = cos137.036000986
Incorrect for the angular measure, as (82944^[1/Pi]=36.7872976 = NOT&100cos(137.036000986) = -73.17820801.
For radian measure we get 36.7872896, which does approximate ok.
...subtracting modules of Beta ( .37 ) from the Cheops face
angle shows several integers modulo to ( 10 ^ 2 ) residue 5.:
51.85 - ( .37 * 5 ) = 50
Ok!
...the Fermat form...e ^ (Pi+8)... generates from the Cheops face
angle using Beta ( .37 ):
( sqrt ( e ^ ( Pi + 8 ))) / ( .37 ^ 3 ) = 51.85145318 degrees
This is obscure, because the algebra gives the numerical value of
5,185.145318 not the numerical degree value admittedly equivalent.
...taking the Cheops face angle directly to 1/Pi power
results in the strange connection to the Hebrew 32 paths of wisdom
or the Hindu 32 smokes of the reality.
(( 51.849982814 ^ ( 1/ Pi )) - 3.199999974 ) * 10 = Pi
True, but where does the 3.199999974 come from to validate this?
Here, we have the potential surface mappings of the polyhedral faces as
information holograms of the 3D-volumes. The icosidodecahedron is a
semiregular Archimedean Solid with 32 faces, 30 vertices and 60 edges;
further described in the endnotes for the Euler Characteristic.
J.Iuliano
Tony B.
After this critique, we proceed to closer examine the seeming
arbitrariness of J. Iuliano's work to derive those seemingly ad hoc
approximations to the face-pyramid angle and a possible connection
between the transcendental p and the finestructure constant Alpha.
We apply our own process of QR's 'reverse engineering' to show the
finestructure connection previously discussed in the Alpha-Variation
paper.
I refer all readers to that paper for the background data.
Much of Quantum Relativity and its superbrane parameters is based on
the finestructuring of fundamental constants, such as Planck's Constant
h=lps/2Re.c^3 and Re=10^10.lps/360 as the classical ElectronRadius,
related to the Compton Radius in the proportionality given by Alpha as
Alpha=Re/Rcompton, Rcompton relating the de Broglie matter wave
momentum via p=h/l.
The basic QR parameter is the magnetic permeability constant mo=120p/c
defining Maxwell's Constant moeo=1/c^2 in dimensionless (say
superconductive form for the Action-Law of Action=Charge^2 and for
unitary resistance in the Quantum Hall effect, Josephson Junctions and
the Electrical Conductance Quantum 2e^2/h).
The fourfoldedness of the Unified Field of QR (UFoQR) also defines
mo=[8p/360][Ne*/Re], where N is a counter for the magnetocharge
e*=lps/hc=2Re.c^2.
This allows determination of N=2700/c^3 in unified action units and
independent of experimental measurement.
Because N=2700.e/{[ec].c^2}=2700.{e/c^2}/[ec], with [ec] the unified
magnetic monopole-mass in superbrane space and the Planck-Length LP
defining that superbrane space via the Planck-Length-Oscillation:
OLP={e/c^2}=LPSqrt(Alpha); N MUST be the decisive and precise
wormhole-perimeter lps=2700/(27x10^24) as the Weyl-Geodesic assuming
its linearized form at this threshold between the metricated field
equations of General Relativity and its nonmetricated encompassment
and quantum substructure described by QR.
This linearization of superstring class I as the Planck-Boson so is
physically-metrically manifested in the heterotic superstring class
HE(8x8) as the Ng Van Dam macroquantization of the Planck-Scale then
further amplified by the ElectronRadius and its associations with the
atomic and subatomic realms of the Compton-de Broglie scenarios.
So this linearization from the preBig Bang (preinstanton and
preinflaton) epochs of the circularized 'higher' superstring dimensions
unfolded the scale-invariance of angular displacement.
This unfolding then crystallizes the 360 factor as a degree-measure,
which is NOT arbitrary, but associated with the QR definition for the
approximation for the transcendental number p, defining circularity.
This we shall now discuss in some detail.
Draw a circle radius R for x-axis diameter given by coordinates (-R,0)
& (R,0) and y-axis diameter given by coordinates (0,-R) & (0,R).
Draw the linesegment (R,0)-(0,R) with length Sqrt[2].R and midpoint
(R/2,R/2) for the halfsegment length RR1*=Sqrt[2].R/2.
Now project this midpoint radially to the circle's perimeter as point
R1 to form the angle (45+45/2) = 67.5 degrees = ORR1.
This defines the halfangle f1=45/2 degrees as the angle R1*RR1 in
cosf1=RR1*/RR1 and sin(2f1) =RR1*/OR=RR1* for the unitsquare
OR=1=unitradius.
So sin(2f1)=RR1.cosf1.
Generally, a polygonal line-segment keeps doubling from a square with 4
sides to an octagon with 8 to a hexadecagon with 16 and so on.
The generalized length for the line-segment is R.Rn=sin[2fn]/cos[fn].
The perimeter for the circle then sums the linesegments in n and
approaches 2p as n gets larger and larger.
Our Archimedean Circumscription/Inscription approximation for
transcendental p then is:
p=2^[n+1].sin{45 degrees/2^[n-1]}/cos{45 degrees/2^n}
For n=1; the approximation is: p(1)=3.061467458...
For n=2; the approximation is: p(2)=3.121445152...
For n=3; the approximation is: p(3)=3.13654849...
For n=14; the approximation is: p(14)=3.141592653...correct to 8
decimal places.
Now express the trigonometric functions as expanded series:
sinx=x-x^3/3!+x^5/5!-.....in odd terms for x and
cosx=1-x^2/2!+x^4/4!-....in even terms for x to form the limit
lim(n->oo){2^[n+1].[45.2^[1-n]-45^3/3!.(2^[n-1])^3+45^5/5!.(2^[n-1])^5-
..]/[1-45^2.2^[2n]/2!+45^4.2^[4n]/4!-....]}
=lim(n->oo){2^[n+1].45.2^[1-n]}=2^2.45=180.
lim(n->oo){1/n}=0, therefore all the trigonometric terms of the
form1/2^n vanish.
So we have indeed justified J. Iuliano's bold assumption to simply form
the identity 360=2p or p=180 to freely interchange radian measure with
the angular degrees.
Of course this works only for the demetricated superbrane scenarios and
requires thus a dimensionless setting for the spacetimes as the
ontological foundation for mensuration physics.
But the 360 factor in the ElectronRadius definition now becomes the
necessary circularization for the wormhole perimeter lps.
Precisely 10^10 wormhole perimeters fit into the linearized and
metricated macroquantized wormhole perimeter represented by 2p.Re AS
360.Re circularized.
This also unitizes our fourfolded UFoQR in 8p/360 as the A/4 factor in
Stephen Hawking's Black Hole event horizon entropy counter for the
information mapped surface area as hologram, measured in Planck-Areas.
In short the entire quantum geometric structures described by QR fall
into place.
J.Iuliano's pyramid angle now is justifiably 'reverse engineered'.
Recalling our FineStructure Constant derivations; we have the Universal
Wavefunction approximation for AlphaB=1/137.0470721 and the little
gamma approximation as Alphag=1/137.0471224.
Using the Iuliano formulations, we then compute the pyramid angle for
those two cases as:
arccosB{-137.0470721/10^4}=90.78524646 degrees or (16p+1.584501463)
radians=51.84998392 radians and representing 51 degrees 50' 59.94" as
the pyramid angle.
arccosg{-137.0471224/10^4}=90.78524675 degrees or
(16p+1.584501468) radians=51.84998393 radians and representing 51
degrees 50' 59.94".
Both values represent J. Iuliano's calculation to that precision in his
pyramid face-angle of (51.849982814).
Tony B.
PS.: A further aspect of QR and its foundation on the pentagonal
symmetry inherent in the Fibonacci patterns is here indicated.
Kepler used the five Platonic Solids or five Regular and Uniform
Polyhedra to model the solar system.
Then there are 13 SemiRegular polyhedra, known as the Archimedean
Solids; including for example the Icosidodecahedron of 32 faces (20
triangles and 12 pentagons) and of 60 edges and 30 vertices.
Euler's Theorem for Polyhedra is the Euler Characteristic: V-E+F=2,
serving to indicate the topological genus for the polyhedron in
connections to manifolds or surfaces.
For V=Number of Vertices, E=Number of Edges and F=Number of Faces; the
Icosidodecahedron qualifies as: 30-60+32=2.
The five Platonic Solids are:
1. Tetrahedron: (V=4; E=6; F=4) with 4-6+4=2
2. Cube: (V=8; E=12; F=6) with 8-12+6=2
3. Octahedron: (V=6; E=12; F=8) with 6-12+8=2
4. Dodecahedron: (V=20; E=30; F=12) with 20-30+12=2
5. Icosahedron: (V=12; E=30; F=20) with 12-30+20=2
The interesting thing fromQR's viewpoint is that the superposition of
all five Platonic Solids gives V=50=F and E=90.
In view of our dimensional reduction of Moebian connectivity and the
mapping of 3D onto 2D as 3D-hologram of Information as inertial mass
transformed into magnetocharged electricity as mass-current; this
equality for the 2D-faces with the 1D-vertices should point the way for
a physical representation of the surface-mappings in a binary-digital
representation of QR's subtimespace, say as described in postings as
Whitescarver-State-Space or WSS.
Love from the DragonHeart!
As a mathematical physicist, I also study ancient scrolls and the
signature can be evaluated on a number of levels; from childishly naive
to profoundly esoteric---Tony Whynot, Unicorn of SophiaGnosis !
ARMAGEDDON=DRAGONMADE=ANDROMEDAG=MARRY7=GODNAMEDRA=82
=666+1=1+2+3+...34+35+36+1=1+2.2+3.3+5.5+7.7+11.11+13.13+17.17
http://au.msnusers.com/quantumrelativity
--- JerryIuliano@aol.com wrote:
From: JerryIuliano@aol.com
Sir:
The Cheops pyramid face angle....51.85 degrees...can describe both
the fine-structure constant...aem = 1/137.036... and the Feigenbaum delta
constant...Fd = 4.669201609...because of the ability for angle transformation
that the fine-structure constant does on the face angle: transforming the face
angle from degrees Sumerian..360.. to radians ...Pi form.:
aem = fine-structure constant = 1/137.036001...
( cos 51.849982814 ) * ( 10 ^ 4 ) = - 1/137.036001.. = 1/aem
...to arrive at the Feigenbaum delta constant, one must subtract
the radian from the Cheops face angle. This is interesting because now the
direct connection can be shown as a simple subtraction of the radian...180/pi..
from the face angle, which suggests dimensionlessness.
(( radian - 51.849982814 ) ^ ( 1/4 )) + Pi = Fd = 4.669212726...
...a form measured in radian degree equals the Feigenbaum delta
constant...4.669201609... this is a complete crossover of dimensionals. Another angular crossover is the equivalency:
( 82944 ^ (( tan 51.85397402 ) / 4 )) / 100 = cos 1/aem
...here tangent is measured in degrees, cosine in radians. This is
the derivative:
( 82944 ^ ( 1/ Pi )) / 100 = cos 137.036000986
...subtracting modules of Beta ( .37 ) from the Cheops face angle
shows several integers modulo to ( 10 ^ 2 ) residue 5.:
51.85 - ( .37 * 5 ) = 50
...the Fermat form...e^(Pi+8)... generates from the Cheops face
angle using Beta ( .37 ):
( sqrt ( e ^ ( Pi + 8 ))) / ( .37 ^ 3 ) = 51.85145318
degrees
...taking the Cheops face angle directly to 1/Pi power results
in the strange connection to the Hebrew 32 paths of wisdom or the Hindu
32 smokes of the reality.
(( 51.849982814 ^ ( 1/ Pi )) - 3.199999974 ) * 10 = Pi
J.Iuliano
THE SIGNIFICANCE OF THE GREAT PYRAMID'S SIDE ANGLE.
Various degree angles have been postulated as ...etc..etc....see Section: 99.91.4
Subject: Beta's (.37) holographic powers
MP:
An example of Beta's (.37) holographic powers is demonstrated by the plus and minus of unity, divided by Pi as Beta squared is placed first into the numerator of the simplified fine-structure constant equation:
aem = fine-structure constant = 1/ 137.035999701...
log ( 1 / aem * ( .37 ^ 2 )) = 1.273238121...
....and then placed into the denominator of the double unity divided by Pi equation for the equivalency:
(( log (( 1/ aem /Ê( .37 ^ 2 )) - 1 )) + 1 ) / Pi = 1.273238636...
...this means than when Beta squared ( .37 ^ 2 ) is forced across the divisor, the equation automatically adjusts itself to an equivalency by the series of minus and plus unities , divided by Pi. In the act of crossing over, Beta (.37), creates a residue of sum and minus of unity with Pi dividing the entire equation to arrive at an equivalency. 37's connection to the fine-structure constant is accomplished in two ways, as a numerator and as a denominator, to the fine-structure constant. An equivalent analogy is the metric speed of light c's relationship to 37 and cosine of inverse
fine-structure constant. In this equation, Beta (.37), demonstrates two effects.. c = 299792458 m/s = light speed
metric
(1)...the expression of the Golden Section as one part of a sum equation
cosine in radians: ....theta actual = 1.6180339875...
( cos ( c * aem / .37 )) * 2 = theta = 1.618039177...
(2)....the expression for unity as the second part of a sum equation:
cos ( c * aem / ( .37 ^ 2 )) = unity = 1= cos ( 2 * Pi )Ê..
...here Beta (.37) stays in the denominator in both equations, but has different powers; squared in unity, non-squared in theta, to arrive at equivalencies. Subtracting unity from theta has the odd effect of Beta being withheld from mathematical action because of the cosine parenthesis "block", canceling any further mathematical action. However Beta (.37), uniquely, can "leave" the protection of the cosine block and yet keep its equivalency to theta:
((( cos ( c * aem / .37 )) * 2 - ( cos ( c * aem / ( .37 ^ 2 )) = theta - 1
...in other words, Beta (.37) ...CANCELS...through the blocking action of the cosine parenthesis !!! Not supposed to be able to do this, mathematically wise. Obviously light speed c and the amplitude for electron-photon transformation....aem... are at play here.
J.Iuliano
Subject: Edward Leedskalnin's ratio 7129 / 6105195 and Zeta function
Sir:
Would you like to try developing any equations based upon Leedskalnins number 7129 in the Zeta function fractions by reviewing your previous work, reproduced below?
Sections: 99.80.3 / 99.80.4 Edward Leedskalnin's ratio 7129 / 6105195.
Today I have been looking into the details of The Zeta function and found Leedskalnin's number 7129 in the 9th sum of 10 sums:
Very simply, zeta;(s) = Sigma; (1/n)s = (1/1)s + (1/2)s + (1/3)s + (1/4)s + (1/5)s + (1/6)s + (1/7)s + ... an infinite sum of fractions. If you look at zeta;(1),
and start adding fractions, you might suspect that it eventually hits some upper limit.
The first 10 sums are:
{1, 3/2, 11/6, 25/12, 137/60, 49/20, 363/140, 761/280, 7129/2520, 7381/2520} or
{1., 1.5, 1.83333, 2.08333, 2.28333, 2.45, 2.59286, 2.71786, 2.82897, 2.92897}.
The fractions up to a googol (10^100) sum to about 230.835. There is no upper limit to this sum. Section: 90.80.3 Edward Leedskalnin's ratio 7129 / 6105195 (Iuliano):
A plaque was found in Ed's bedroom, at Coral Castle.
It read: THE SECRET TO THE UNIVERSE IS 7129 / 6105195.
Sir:
Ed Leedskalnin, the strange man who built the Coral Gables castle in Florida had a plaque in his bedroom that referred to a Theory of Everything as a ratio between two integers...7129 / 6105195...as quoted at the bottom of the following article:
......... One final note: A plaque was found in Ed's bedroom. It read: THE SECRET TO THE UNIVERSE IS 7129 / 6105195. To those of you interested in deciphering this additional mystery: Good Luck!.........end quote.
The integer 37 solves this mysterious ratio...cosine in radians
(( 7129 / 6105195 / -37 ) - 3 ) / 10 = cos ( 6105195 / 7129 )
-0.30000315593 = -0.300003156397
The integer 37 also cracks the ratio to the Feigenbaum constant, t ruler of the mandelbrot fractal, chaos to order phase transitions...F=4.669201609 = Feigenbaum constant...tangent in radians
( tan^-1 ( 6105195 / 7129 / 37 )) + Pi = 4.6692....
The Leedskalnin ratio also clicks to the Cheops constructs through the amplitude for an electron to emit or absorb a photon , the fine-structure constant...a(em) = 137.03599976...1998 NIST
( 6105195 / 7129 / 37 ) ^ - ( ht / 2 / bl ) = cos 137.0359815
when ht = height of Cheops pyramid = 486.256 ft
reference Churchill/Massey 1910 expedition to Egypt .....
1/137.0359815 is 99.9999867% of 1998 NIST value
Interesting to note that when Leedskalnin died (1951) the value of the fine-structure was thought to be ....a(em) = 1/137.035978....
Another interesting Cheops constructs form is as follows:
6105195 / 7129 / ( 37^17 ) * ( 10^25) = 10 ^ ( 2*ht/bl )
if ht = 486.2573394...bl = 763.81
J.Iuliano
****************
Section: 99.80.4 Edward Leedskalnin's ratio 7129 / 6105195 (Lui)
<< Jerry's solution to Leedskalnin's numbers 7129 / 6105195: >>
Here's another take on it.
The Vedic Square and how it works (PDF)
7129 = 1
The 8 number sequence is 8 7 6 5 4 3 2 1 9. Cycling the 6105195 will produce this sequence.
The number 37 too expresses a 1. To find the mirror of 37 one could use my mirror number table where they will see it equal to 44, which is the 8. Then add the 37 and 44 and it equals 81. All number sequence pairs equal 9.
37 cps = D
The interval is that of a Minor 3rd
A chord can be built up using just minor 3rd intervals
D F Ab B = chord of D Diminished
This chord is perfectly symmetrical. It will mirror the other way, from
right to left. The center D is the axis:
F Ab B (D) F Ab B
1 cps = C
This is a major 3rd interval. A chord can be built using only major third intervals and it too will be perfectly symmetrical.
E Ab (C) E Ab = An augmented triad mirroring to the same augmented triad.
The mirror of 81 = 72 = 153
The mirror of 153 = 144 = 297
The 297 may as well be the 2nd number sequence and the 7th number sequence, mirror pairs in the Vedic square, held together over the 9 axis.
Ab = 52 cps
Mirror of 52 = 47
52+47 = 99
47 cps = F#
F# to A is another minor 3rd interval
99 cps = G
G to Bb is a minor 3rd interval as well.
52 +47 = 99 = Ab F# G
And on it spews right?!
Lui
© Copyright. Robert Grace. 2004
Date: Sun, 10 Apr 2005 13:00:34 EDT
To: terrypp@aemail4u.com
Subject: 37 as integer
{0}-(B1) mirco-infinite metaphysical universe ( true/pure
nothingness )
{.5}-(B2) mirco-finite quasi-physical universe ( gravity )
{1}-(B3) micro-finite ZPE/vacuum fields/particles or universe (
virtual )
{2{-(B4) micro-finite physical fields/particles or universe (
real )
amplitude for photon-electron
exchange
c = 299792458 meters/second = speed of light:
1.6180391773...99.9997% of "theta"
( cos( c * aem / ( .37 ^ 2 ))) = unity = 1
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Sun, April 17, 2005 11:43 am
e = natural log = 2.718281828...
bl = base leg Cheops pyramid = 763.81 ft
Fd = 4.669201609...exact
Fa = Feigenbaum alpha constant ( width) = 2.502907875...exact
IN ( IN (( c ^ 4 ) / 4 / Gn )) = E * ( c ^ 2 ) * .079998364 *bl * ( 57 ^ 2 )
IN (( c ^ 4 ) / 4 / Gn )) = Fa / .024999505...
L = proper length of the moving energy pulse taken in the direction perpendicular to the horizon ( black hole)
a = the surface gravity of the horizon and A its area ( black hole )
E / a / A = e ^ ( e ^ ( e ^ ( Fd - Pi )))
Fd = ( IN ( IN ( IN ( E * L / A )))) + Pi
Fd = ( IN ( IN ( IN ( E / a / A )))) + Pi
Fa = 2.502957386.. actual = 2.502907875...
e = natural log e = 2.718281828...
(http://www.arxiv.org/PS_cache/physics/pdf/0309/0309118.pdf)
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Sun, April 20, 2005
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Tue., April 27, 2005
51.85 - ( .37 * 105 ) = 13
51.85 - ( .37 * ( 105 + 100 ) = -24
51.85 + ( .37 * 95 ) = 87
Date: Sat, 23 Apr 2005 11:53:06 EDT
To: rgrace@aemail4u.com
Subject: Cheops pyramid face angle
cosine in radians
Cheops pyramid face angle = 51.849982814....degrees Sumerian
51.85 - ( .37 * 105 ) = 13
51.85 - ( .37 * ( 105 + 100 ) = -24
51.85 + ( .37 * 95 ) = 87
From: JerryIuliano@aol.com
To: rgrace@rgrace.org
Date: Fri., April 30, 2005
From: rgrace@rgrace.org
To: JerryIuliano@aol.com
Date: Fri., April 30, 2005
What is the Zeta function (s)?
bl = base leg Cheops pyramid = 763.81 ft
Any number can be broken down to single digit.
These two numbers break down to a 1 and an 8, mirror number sequence partners, +1 and -1.
In the Vedic Square the 1 number sequence = 1 2 3 4 5 6 7 8 9. Cycling the 7129 will produce the same sequence.
14258 = 2
21387 = 3 etc
44 cps = F
8 cps = C
81 cps = E
B = 62 cps
mirror of 62 = 55
62+55 = 117 (99 +117 = 216)
55 cps = A
117 cps = Bb
62 + 55 =117 = B A Bb