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  • Phoenix@5thdimension.de
    Somewhere between 136 and 138 the reciprocal value of a constant is located, which symbol is alpha: the fine structure constant. It is used to shorten an
    Message 1 of 1 , Dec 8, 2002
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      Somewhere between 136 and 138 the reciprocal value of a
      constant is located, which symbol is alpha: the fine structure
      constant.

      It is used to shorten an expression, which appears in the formula
      for electron radii in Bohr's model of atoms.

      A theory of 6-dimensional space-time gives an approximation for
      aplha as 4 pi*pi*pi*pi*pi / 9 (136.0087488...) resulting from a
      special formula for the charge of the electron.

      The real value for the electron charge is slightly less and therefore
      the real value for alpha slightly more than its theoretical value,
      because of vacuum polarization (of electron-positron pairs around
      the electron, which appear and annihilate in a time given by
      uncertainty-principle t*E<h'). The exact value is then
      137.035987....

      A value for alpha for computations is 1/137.

      PX
      ___________________________________________
      For those with a pocket calculator:

      formula for charge:
      q ~ 1/pi² sqrt(h/2pi sqrt(eps(0)/mu(0)))

      where -3q is the charge of the electron
      (2q of up-quark, -q of down-quark)

      with these constants

      h/2pi = 1.0546 E-34 Js (Planks constant)
      eps(0) = 8.8542 E-12 C/Vm (dielectric constant)
      mu(0) = 1.2566 E-06 Vs/Am (magnetic constant)

      gives

      e ~ 1.60825 Coulomb
      (charge 3q of electron with formuala)

      Measured value:
      e = 1.60219 Coulomb

      formula for alpha:

      alpha = e²/(4 pi eps(zero) h/2pi c )
      using c = 1/sqrt(eps(vacuum)*mu(vacuum))
      substiting e by above formula
      ~ 3*3/(pi²*pi²) /4pi
      = 9/4pi^5

      formula for Bohr's radii:
      r = n²/(Z aplha) h'/(mc) with
      n=number of radius, Z=charge of nucleus
      ________________________________________
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