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Quantity (red, green download, black-compute, blue-ideas)



НазваниеQuantity (red, green download, black-compute, blue-ideas)
Дата конвертации21.09.2012
Размер59.47 Kb.
ТипДокументы
Quantity (red, green - download, black-compute, blue-ideas). Value Uncertainty Unit CODATA (Value) CODATA (Uncertainty)
p = 4 Arctg(1) = 3.14159265358979 (exact)


Speed of light in vacuum, c = 299792458 (exact) m s^-1

Magn. Constant m = 4*p* 0.0000001 = 1.25663706143592E-06 (exact) N A^-2

Electric constant, e = 1/(m*c^2) = 8.85418781762039E-12 (exact) F m^-1

Rydberg constant, Ryd = 10973731.568525 0.000073 m^-1

Proton Compton wavelength, lpr = 1.3214098555E-15 8.8E-24 m

Proton-electron mass ratio, M/m = 1836.15267261 8.5E-07


Fine-structure constant, a = (M/m)*(lpr/lRyd) = 7.29735256808471E-03 0000000000260118896908135" sdnum="1033;0;0.0e+00">2.6E-11
7.297352568E-03 2.4E-11
Inverse fine-structure constant, 1/a = 137.035999106518 4.9E-07
137.03599911 0.00000046
Electron Alpha Cascade.



Rydberg "radius", 1/(4pRyd) = a^0*rR = 7.25163277860676E-09 4.8E-20 m

Bohr radius, rB = a^1*rR = 5.29177210797733E-11 1.9E-19 m

Compton radius, rC = a^2*rR = 3.86159267818674E-13 2.8E-21 m

Classical electron radius, rcl= a^3*rR = 2.81794032470631E-15 3.0E-23 m 2.817940325E-15 2.8E-23
Electron Compton wavelength, le =a^ 2 / (2Ryd) = 2.42631023779E-12 1.7E-20 m 2.426310238E-12 1.6E-20
Elementary charge, e = 1.602176530E-19 1.4E-26


Planck constant, h = e^2 /(2aec) = 6.626069287257E-34 1.2E-40 J s 6.6260693E-34 1.1E-40
Electron mass, mel = 2 h Ryd/(c*a^2) = 9.109382518774E-31 1.7E-37 kg 9.1093826E-31 1.6E-37
Proton mass, M = h/(clpr) = 1.67262170576740E-27 3.1E-34 kg 1.67262171E-27 2.9E-34
Newtonian constant of gravitation, G = 6.6742E-11 1.0E-14 m^3/(kg*s^2)

Planck length cascade.




Planck length, LPl = (Gh/ 2pc^3)^0,5 = 1.6162428111085E-35 1.2E-39 m 1.61624E-35 1.2E-39
Planck L, reduced to clas. radius, Rpl = Lpl/p^0,5 = 9.1186735851137E-36 6.8E-40 m

Planck L, reduced to el-n Compton radius, Rpl.el = Rpl /a = 1.2495865452623E-33 9.4E-38 m

Planck L, reduced to pr-n Compton radius, Rpl.pr = Rpl.pr/mratio = 6.8054610267568E-37 5.1E-41 m

Planck L, reduced to pr-n Compton w-length, lpl.pr = Rpl.pr*2p = 4.2759972731901E-36 3.2E-40 m

Planck time, tPl = Lpl/c = 5.3912057090793E-44 4.0E-48 s 5.39121E-44 4.0E-48
Planck mass, mPl = (hc/(2pG))^0,5 = 2.1764505057983E-08 1.6E-12 kg 2.17645E-08 1.6E-12
Forces ratio, df = 4peGm^2/e^2 2.4005732267832E-43 3.6E-47


Big quantum number N cascade.




Big quantum number, N =(ap/df)^0,5 = 3.0902963006666E+20 2.32359E+16


N = rcl / Rpl = 3.0902963006666E+20 4.10889E+16


N = lpr / lpl.pr = 3.0902963006666E+20 2.31819E+16


N = l0 / lpr = 3.0902963006666E+20 2.32400E+16


N = lUn / l0 = 3.0902963006666E+20 6.97119E+16


Universe big circumference, lUn = lpr*N^2 = 1.2619373241270E+26 1.9E+22 m

Universe curvature radius, RUn = lUn / 2p = 2.0084356300697E+25 3.0E+21 m

Hubble constant, H = c / lUn = 2.3756525167160E-18 3.6E-22 s^-1

Parsec, 1pc = 3.0856775807E+16 4E+06 m

Hubble constant, H(km/s/Mpc) = H*pc*1000 = 73.304977103639 1.1E-02 km/s/Mpc

Hubble time, Conventional age of Universe, T=1/H = 4.209369817E+17 6.3E+13 s

Tropical year, Y = 3.15569252E+07
s/year

T(billion years) = T/10^9/Y = 13.3389732698 2.0E-03 billion years

Photon-graviton boundary wavelength, l0 = N*lp = 408354.798811605 30.71 m

Photon-graviton boundary frequency, n0=c/l0 = 734.147018407661 0.05521 Hz

Photon-graviton boundary frequency, n0=HN = 734.147018407661 0.1656 Hz

Photon-graviton boundary period, t0 = 1/n0 = 0.001362125 1.0E-07 s

Quantum of force, f = hc / l0^2 = 1.19124570720346E-36 1.79368E-40 N

f = Mc^2 / X = 1.19124570720346E-36 1.79367765986701E-040 N

Critical density of the Universe, rcr = 3H^2 / (8pG) = 1.00936446929726E-26 4.5E-30 kg m^-3

Relative density of the Universe, W = (8a/3)^0,5 = 1.39497694777462E-01 2.5E-10


Density of the Universe, r = Wrcr = 1.40804016657244E-27 6.3E-31 kg m^-3

Energy density of CBR, u = 3ac^2H^2 / (128p^3G) = 4.19213268800836E-14 1.9E-17 J m^-3

Boltzmann constant, k = 1.38065050000000E-23 2.4E-29 J/K

Stefan-Boltzmann constant, s = 5.6704012763686E-08 4.2E-13 W m^-2 K^-4 5.670400E-08 4.0E-13
Temperature of cosmic backgr. radiation, T = (uc/(4s))^(1/4) = 2.72832111789672E+00 3.1E-04 K 2.725 +/- 0.001
Volume of closed Universe, VUn = c^3/(H^3*4p) = 1.59920262061698E+77 7.2E+73 m^3

Universe mass, MUn = r * VUn = 2.25174152431662E+50 2.0E+47 kg

Normalized Units, denoted by '.




Normalized unit of time, 1! = 0.00136212498985416
s

Normalized unit of length, 1! = 408354.798811605
m

Speed of light in normalized units, c' = c/(n0*l0) = 1 (exact)


Normalized unit of charge, 1e = 1.60217653E-19 1.40E-026 C

Elementary charge in normalized units, q0 = 1e (exact)


Normalized unit of mass, 1pr = 1.67262171E-27 3.09E-034 kg

Proton mass in Normalized Units, M = 1pr (exact)


Electric constant, e' = N/(2a) = 2.1174092054851E+22 1592154881066530000


Electric constant, m' = 2a/N = 4.7227526800654E-23 3.55120481891959E-027


Normalized Hubble constant, H' = 1/N = 3.23593566022873E-21 2.43309915492355E-025


Normalized action quantum, h' = h*t0 / (Ml0^2) = 3.23593566022873E-21 7.31170062617883E-025


Normalized force quantum, f' = f*t0^2 / (Ml0)= 3.23593566022873E-21 1.21783300578533E-024


Normalized proton Compton w-length, l'p = lp/l0 = 3.23593566022873E-21 2.43353015267699E-025


Normalized constant of gravitation, G' = Gt0^2mpr/l0^3 = 3.04171049012266E-60 1.59993625815088E-063


G' = N (df/p)^2 (Mp/mel)^2 / 2 = 3.04171049012266E-60 1.14576254914323E-063


G' = a^2 / N^3 * (Mp/mel)^2 / 2 = 3.04171049012266E-60 6.88393681571882E-064


ln(1/G') = 137.04268556 0.0005259989


Compare: 1/a = 137.03599911 4.88473773430087E-007


Ratio ln(1/G') / (1/a) = 1.00004879



Possible way of G deduction, or error explanation.




1). Newton law: F = (G0/g) M1*M2/R^2




G=ch(aG'/M^2/mel)^(2/3)/2^(1/3)= 6.67419999999999E-11
m^3/(kg*s^2)

G0=ch(a/exp(1/a)/M^2/mel)^(2/3)/2^(1/3)= 6.70401756594171E-11
m^3/(kg*s^2)

Gravity permeability, g=G0/G = 1.00446758651849E+00



2). Magnetic similarity.




Electron magn. moment to Bohr magn. ratio, z = 1.0011596521859 3.8E-012


Normalized constant of gravitation, G'' = 1/Exp(1/a) = 3.06211689680539E-60 8.0E-71


G=ch(aG''/M^2/mel)^(2/3)/2^(1/3)/z^4= 6.67301019794118E-11 3.7E-17 m^3/(kg*s^2) 6.6742E-11 1.0E-14
3) Relativistic correction.




Normalized constant of gravitation, G''' = 1/Exp(a + 1/a) = 3.03985288318218E-60



Almost the same, G'''' = 1/Exp(1/(a-a^3+a^5-a^7+a^9-...)) = 3.03985288318218E-60



G=ch(aG'''/M^2/mel)^(2/3)/2^(1/3)= 6.67148238380734E-11
m^3/(kg*s^2)

And so on…




Some other constants.




Proton mass in u 1.00727646688000 1.3E-010 u

Atomic mass constant 1.6605388498237E-27 3.1E-34 kg 1.660538860E-27 2.8E-34
Avogadro constant, Na = 6.02214154825E+23 1.1E+17 mol^-1 6.0221415E+23 1.0E+17
Faraday constant, F = Na*e = 9.64853384894E+04 0.026 C/mol 96485.3383 0.0083
Molar gas constant, R = k*Na = 8.31447273966E+00 1.6E-05 J/(mol*K) 8.314472 0.000015
Wien displacement constant, b = hc/k/4,96511423174428... = 2.89776842962E-03 5.6E-09 m K 0.0028977685 5.1E-09
Neutron-proton mass ratio, Mratio = 1.00137841870 5.8E-010


Neutron mass, Mn = Mp*Mratio = 1.67492728E-27 3.1E-34 kg 1.67492728E-27 2.9E-34






This page is the intellectual property of Ivan Gorelik.









In the case you use my formulae, Space Genetics.



please, make a link to my Web-page: Mirror web-site










In Russian




Mirror in Russian



Last updated: 31 March 2007.








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