Natural Science Forum / Physics / Particle Physics / March 2006

$$  The PERiODiC iSOTOPiC TABLE ..of Elementary NUCLEAR mass:

$$ Fine structure ALPHA a = (n - 1) = 0.007292667189 = 2*pi*ae
                  = (mD / m1) - 1
                   = (mp / u) - 1
                   = (D2 / u) - 2
                  = (He3 / u) - 3
                  = (He4 / u) - 4  ..alpha PARTiCLE, He4
                   = (X5 / u) - 5
                   = (X6 / u) - 6
             = (Lithium7 / u) - 7
NUCLEAR mass Xi ->  = (Xi / u) - x  ..CHARACTER number, x
                   = (Xi - u*x) / u ..ATOMiC mass unit u
              = (mp + me - H_y) / u  .. .. .. ..in amu
       = NUCLEAR BiNDiNG ENERGY / u*c^2 .. .. ..in amu
                     = (mp - u) / u  .. .. .. ..in amu
                    = (mD - m1) / m1
SiGNETiC mass mS ->         = mS / m1 ..GUESS TEST mass m1
                          = Moo / a*me
                        = me*re / Mp*lp ... continue..
                        = me*re / {mph}*ls ..lp/4*(pi)^2=ls
                     = nA*me*re / [mph]*r1
                   = 4*pi*me*re / Moo*loo ..the RYDBERG loo ...
                  = (vescape)^2 / 2*v1^2
               = 4*pi*Roo*me*re / Moo ..HARTREE mass, Moo
                 = 2*pi*c*me*re / h
                      = c*me*re / hbar
                  = 4*pi*Roo*re / a^2
                      = 4*pi*re / a^2*loo
                      = 2*pi*re / wlc  ..COMPTON wave, wlc
                           = re / wlbar  ..wlbar also, wls
BOHR radius ao ->      = ao*a*re / (wlbar)^2
                = (ao)^2*a^2*re / (wlbar)^3
                       = (re)^2 / (wlbar)^2*a
                    = ao*(re)^2 / (wlbar)^3
                       = ao*a^2 / wlbar
                  = 2*pi*ao*a^2 / wlc
                    = wlbar*a^2 / re ..CLASSY me radius re
                   = (ao)^2*a^3 / (wlbar)^2
                       = ao*a^3 / re
                = (wlbar)^2*a^3 / (re)^2
                 = wlbar*ao*a^4 / (re)^2
                   = (ao)^2*a^4 / re*wlbar
                   = (ao)^2*a^5 / (re)^2
                   = (ao)^3*a^5 / re*(wlbar)^2
             = wlbar*(ao)^2*a^6 / (re)^3
                   = (ao)^3*a^7 / (re)^3
                   = (ao)^3*a^6 / (re)^2*wlbar
             = (wlbar)^2*ao*a^5 / (re)^3
                = (wlbar)^3*a^4 / (re)^3
                   = (ao)^3*a^4 / (wlbar)^3
               = 4*pi*c^2*me*re / Vu*{e}*loo
               = 4*pi*c^2*me*re / eH*loo
           = 4*pi*Roo*c^2*me*re / Vu*{e}
           = 4*pi*Roo*c^2*me*re / 10*"e"*{e}*Volt
           = 4*pi*Roo*c^2*me*re / 10*"e"*{{e})
           = 4*pi*Roo*c^2*me*re / 10*"e"*eV
           = 4*pi*Roo*c^2*me*re / eH ..HARTREE energy, eH.

$$ The GUESS iSS, PROTON mass mp = (a + 1)*u = mn / (ae + 1)
               = H_y + a*u - me      = Zs*h*c*mn / Ue
               = H_y + mp - u - me       = Ub*mn / Ue
              = (H_y - me) + a*u          = 2*mn / ge
                       = u + a*u         = Ub*me / Un
                = (QUARKs) + a*u       = 2*Ue*me / Un*ge
                 = D2 - mp + a*u      = {e}*hbar / 2*Un
                 = D2 - u           = (a + 1)*me / 10^4*Qx.

$$                       Nomenclature:
D2 = Deuterium NUCLEAR MASS     Zs = Zeeman splitting constant.
H_y = Normal Hydrogen ATOM     h = 2*#*{e} = Planck's constant.
mp = proton mass              hbar = Dirac's constant = h/2*pi.
mn = neutron mass             ge = electron gyromagnetic ratio.
u = ATOMiC MASS UNiT (amu).      Ue = electron magnetic moment.
me = PROPER electron mass.         Ub = Bohr magneton -> A*m^2.
a = Fine STRUCTURE Constant.             Un = NUCLEAR magneton.
a*u*c^2 = NUCLEAR Binding ENERGY.!!       {e} = Quantum charge.
ae = (ge - 2) / 2 = a / 2*pi = electro-magnetic moment ANOMALY.
Qx = Universal DiMENSiONLESS Stefan-Boltzmann Radiation NUMBER.
ABOVE independent of any Unit System, but is GUESS-iSS-defined.

Note:
 Maxwell's "AMBiENT permittivity COEFFiCiENT" = epsilon Er.
  [e]^2 = Old STANDARD charge squared = {e}^2 / 4*pi*Er*Eo.
   Eo = GUESS STANDARD permittivity = epsilon = 1 / Uo*c^2.
    Uo =  "  STANDARD permeability = 4*pi / 10^7 -> Wb/A*m.

$$                The GUESS SiGNETiC mass, mS
        = mD - m1 = (n - 1)*m1 = m1*(vescape)^2/(2*v1^2).

The GUESS iSS, Electron mass, me = eH/a^2*c^2 = Moo/a^2 = 10^4*Qx*u.
Electric Potential Vu = 10*("e")*Volts ..Unit dist @ quantum CHARGE.
   Quantum CHARGE {e} = BASiC elementary CHARGE -> Amp*sec ..units.
                   (ao) = BOHR radius.

Note Uo & Eo CANNOT BOTH equal UNiTY ..in any *COHERENT* SYSTEM.
(Mp)^2 = PLANCK mass squared = M1*m1*Er / (n - 1)*a ..over/a^2.
    Er = The Maxwell permittivity Eo STANDARD coefficient.
(lo)^2 = The "MYSTERiOUS Magnetic Length constant", ..squared.
    eG = GiBB's free energy, the old CHEMiSTRY icon, [G].

$$     Go-go search: < fine structure variable >< isotopic table >.
   < GUESS nomenclature >< My BiGGER bang.!! >< ascii iSS GUESS >.
   Google < http://groups.google.ca/grphp?hl=en&tab=wg&ie=UTF-8 >.

$$ Sincerely,                ```Brian A M Stuckless, Ph.T (Tivity).
$$                   /\
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$$              \_\/_/\_\/_/
$$                /\_\/_/\               ("`-/")_.-'"``-._
$$               _\/_/\_\/_               \. . `; -._    )-;-, `)
$$              /_/\_\/_/\_\     \ /       (v_,)  _  )`-.\  ``-'
$$                   /\         - O -   _ .- _..-_/ / ((.'
$$                   \/          / \   ((,.-'   ((,/ By: Toe.!
$$                 By deeds you know them.!! >><> >><> >><> >><> >><>
BEHOLD, IAM THAT IAM hath circumcised the FORESKiNs of your hearts.!!
BEHOLD, IAM THAT IAM WHOLLY WHOLLY WHOLLY He ..and no more is more.!!

Revisiting Variable Constants
   http://www.astro.ucla.edu/~wright/cosmolog.htm#News
   http://www.astro.ucla.edu/~wright/Dalpha-2005sm.gif

A new preprint claims to have achieved a, much higher accuracy in
measuring the variation in the fine structure constant, alpha. The
previous claim to have seen a variation, which was viewed with
skepticism, is based on the red data points, while the blue points show
the 21 cm results and the new paper gives the black point which is
consistent with no variation in the physical constants.

See: http://www.astro.ucla.edu/~wright/Dalpha-2005.gif
      http://www.astro.ucla.edu/~wright/Dalpha-2005sm.gif

Most precise single redshift bound to the variability of the fine-structure constant
   http://arxiv.org/abs/astro-ph/0512287

   Verification of theoretical predictions of an oscillating behavior of
   the fine-structure constant, alpha, with cosmic time requires high
   precision measurements at individual redshifts, while in earlier
   studies the mean Delta alpha/alpha values averaged over wide redshift
   intervals were usually reported. This requirement can be met via the
   Single Ion Differential alpha Measurement (SIDAM) procedure. We apply
   SIDAM to the FeII lines associated with the damped Ly-alpha system
   observed at z=1.15 in the spectrum of HE0515-4414. The weighted mean
   calculated on base of carefully selected 34 FeII pairs is <Delta
   alpha/alpha>=(-0.07+/-0.84)10^{-6}. The precision of this estimate
   represents the absolute improvement with respect to what has been
   done in the measurements of Delta alpha/alpha.