CALCULATION  OF  THE  ELECTRONMASS
                    
   The Main Idea is that the Electronmass is made up of two parts.
One part is the 'naked electronrestmass' and the other an additional part (a magneto-
charged part also called electromagnetic mass).
Together this gives a dynamic effective electronmass, which derives naturally from the
other integerbased fundamental constants.
There are  three such  constants  given by an algorithmic program, which relate
directly to Energy concepts.

  1. Einstein-Constant as: (9,10,16)=> 9x10^16=c^2.
  2. Planck-Constant as:  (15,10,32) => 1/(15x10^32)=h.
  3. Boltzmann Constant as: (15,16,18) => 1/(15x16^18)=k.

They are all dimensionless in pre-quantum algorithm space  (prePlanck-Phase).

  In a transitionphase, relating to the 'Quantum Big Bang', a boundary between
a 'quantum realm' and classical physics became established in a quantum tunneling
of a 'false vacuum'.
This is described in de Broglie phase-inflation.
This phase inflation defines a closed curvature topologically equivalent to an open
curvature and specifies modular duality between maximum/minimum conditions.

  The dimensionless number constants became physically manifested and related to
many other derived parameters relating to energy in the order of Temperature, 
Radiation and Mass; that is in the order of Boltzmann, Planck and Einstein.

  One such relationship finestructures Maxwell's:  1/c^2=moeo.
Another relationship defines the electronic radius as a quantum macroboundary in
terms of the magnetic constant mo.

  Another relationship sets the linearisation of a circular quantum continuum in direct
relation to a prequantumscale, that is the supermembrane epoch from Planck-Time to
Wormholetime.
The wormholetime derives from finestructuring the Action-Constant.
This formulation involves the electronic radius as a number constant.
From that electronic radius, the electronmass is implied as:

        mo.c^2=e^2/[4peo.(electronic radius)].

    Equality of dynamic electromagnetic mass in magnetic selfinduction to the relativistic
 mass increase, then leads to a finestructure for the effective electronmass (above) as a
 distribution and as set out below.

    There are a number of parameters and fundamental constants which are given 
by the pentagonal supersymmetry between four dimensionally nested worlds.
The lightconstant 'c' becomes dimensionless in: c^2=9x10^16 for example, giving a
'cosmic standard' system where c=300,000 km*/sec* precisely.
Calibration to the SI-system differs often less than 1%.

  The electronmass was not  amongst the elementaries however, because all restmasses
are set to 0 in the first world (here termed Omnispace of dimensions 10-11-12-(13=1)).
So we must derive the electronmass from the other given elementals.
It proceeds something like this.

   One first finestructures the Maxwell-Constant into electric and magnetic parts and then
 applies the OmnispaceLaw {ACTION=CHARGE^2} to find dimensionless (superconductive)
 expressions for electric permittivity eo and magnetic permeability mo.

  This ACTION LAW maximises/minimises the Lagrangian in Omnispace, especially the
boundary condition of the Planck-Length-Oscillation, which maps the ForceCharges
between Omnispace and Linespace.
Linespace connects Omnispace in dimension 1=13, which also becomes a mirrored
Timedimension in 1-2-3-4 D.
(Hyperspace is world #3 mapping 4-5-6-7 and Quantumspace maps this as 7-8-9-10 into
Omnispace as world #4).

  There are two equal expressions for the Planck-Length Oscillation; allowing mappings
 from the creation world into the first manifestation.

     Planck-Length-Oscillation: (e/c^2)=Planck-Length.SqrtAlpha.

  This allows mapping of MagnetoCharges (e*) from 13D as Coulombic charges (e) as 1D (say).
Since Magnetocharge is defined as Inverse SourceEnergy in the form:

                           e*=Classical Electronic Diameter.c^2 in units (m^3/s^2) or as 
                                 [Volume.Angular Acceleration] and also as:
                           E[ps]=hf[ps]=h/f[ss]=1/e*,

 we find modular duality in supersymmetric associations between magnetocharges and electrocharges.

   In particular, the vibrating Supermembrane (11D) E[ps=primary sourcesink] is modular
dual to E[ss=secondary sinksource] and so relates the inversion properties of Maximum Radius to
Minimum Radius.
This is the backbone of M-Theory, which labels our supermembrane EpsEss as the heterosis between
HE-Superstring (8x8) in 10 dimensions with a Bosonic superstring in 26 dimensions.
 
   In particular, you now find the mapping:
 (e=Planck-Length-Oscillation.c^2) <=>(e*=Classical Electronic Diameter.c^2)  for electropole e and 
magnetopole e*.

   The overall symmetry, crucial for deriving the electronmass is found in the Cosmic Wavefunction:
   B(n)=(2e/hA).exp(-Alpha.T(n)),
where A is an algorithmic constant relating to (Current^2); Alpha is the Electromagnetic Finestructure 
Constant related to the Gravitational Finestructure Constant in direct scaleproportion as
 ALPHA(GR)=ALPHA(EMR)^18;
and T(n)=n(n+1) is the Feynmann Summation, the Path-Integral over all possible particular histories,
(summing all absolute integers in a Cantor Cardinality of Aleph-Null becoming Aleph-All, the counting
of infinities as integers differing in 1).

   The crucial point here is, that this wavefunction defines an infinite number of 'frozen' spacetimes, which
 upon a process of 'thawing' (we could call it a spiritual awakening) can ACTIVATE themselves in (coming
 alive); but redefining themselves as eventuating 'Baby Universes'.
Renormalising those frozen wormholes/potential universes, then defines a Functional-Riemann-Bound in
 the Complex Plane at imaginary cycletime n=Hot (Ho a nodal Hubble Constant at 58 Hubble Units).

   The statistical mean is at [n=-1/2] for the squared wavefunction as a density distribution.
This [FRB=-1/2] then relates to many fields in pure number theory, such as the Riemann Hypothesis of the 
Zeta Function and the Euler Harmonic.
B(n) is also a disguised form of Sterling's Formula as function of Alpha.

   But we now have expressions for the magnetic constant, which relate to the propagation of the unified field
 in the form of 12 selfintersecting monopolic current-'knots'/junctions, giving rise to all particle families,
bosonic and fermionic in the application of a colourtrinity, triplets of unification (Red-Green-Blue=White in
 Radiation) and (Yellow-Cyan-Magenta=Black in Paint/Mass).

Complementary triplets/doublets/singlets then define the unitary symmetries, such as 8 gluonic intermediate
mesonic states in {RC=MG=BY} and the permutation octet (WWW,WWB,WBW,BWW,BBW,BWB,WBB,BBB).

   In particular there are exactly 10^10/180 l[ps] wavelengths in the Classical Electron-Diameter, the latter 
which is found modular dual in the expression:  c=l[ps]f[ps]=1/l[ss].f[ss].
This links Gravitational Radiation to Electromagnetic Radiation as Lagrangian Boundary Condition.

   Because of this quantisation of the wormholeradius r[ps]=l[ps]/2p; we can directly relate the unified field 
propagation (which is 4l[ps] or 8p radians) to the magnetic constant linking the linearisation of the worm-
holeperimeter to the fourfoldedness of the angular multivalued expression.

   Define the electronrestmass as equality between the relativistic massincrease and its dynamic magnetic 
selfinduction.
You have:  c^2.(m-mo)=mo.e^2.v^2/(8pRe), where mo is the electronmass; e the electropolecharge; v the electron 
velocity; mo the magnetic constant and Re the Classical Electronic Radius.

   Now set: Constant A=mo.e^2/(8pRe.mo) and let Constant B=(v/c).

   This leads to the quadratic:  B^2=([A-2]/2A)+-[A^2+4A]^1/2/2A.

   This defines a distribution of B^2=(v/c)^2 relativistic velocity ratios in  mo.A=mo.e^2/8pRe.

  Using our definitions, we find: mo.A=30e^2.c/e*=4.645263574x10^-31 kg*.
This implies, that for A=1, mo=me/2, where me=9.290527155x10^-31 kg* from the prequantum
algorithmic associations, based on the magnetic constant defining the Classical Electronic Radius.
Here me is the EFFECTIVE ELECTRONMASS and includes a MAGNETOCHARGED PART; added to the
 'Naked Electronmass mo'.

   As B^2>=0 for all velocities v, bounded as groupspeed (not de Broglie Phasespeed always >c) in c
 for which B^2=1; a natural limit is found for the B^2 distribution at A=1/2 and A=Infinity.
 
  For A=1/2: B^2=-3/2(+-)3/2  for roots  x=0 and  y=-3;
  for  A=3/4: B^2=-5/6(+-)(19/12)^1/2  for roots  x=0.425 and  y=-2.092;
  for  A=1: B^2=-1/2(+-) Sqrt(5)/2  for roots  x=X and  y=Y;
  for  A=Infinity: B^2=(1/2)[-](+-)(1/2)[+]  for roots  x=1[-] and  y=0[-];

   Letting B^2=n, we obtain the Feynman-Summation and the Binomial Identity gives the limit of A=1/2 in:
                                A=1/2 - B^2{3/8 - 5B^2/16 + 35B^4/126 -...}.

   But the FRB is defined in the renormalisation of B(n) exactly about the roots  X,Y and so the model of the
 'heavenly boundary conditions' is proved, (relative to the composer).

   The unifying condition is: XY=X+Y=i^2=-1=exp(ip).

   One can now introduce the magnetocharge to derive the 'naked electronmass' by perturbation and the
 REDUCED CHARGE.

   Let me*=me-mo  for me*=2mo.e^2/3Re.e*=1.556642765x10^-32 kg* {EQ.*}
as a first approximation and introduce the unitvolume V in:  me*=mo.e^2.V/(4pRe^2.c^2).

   "Cubing the Sphere" in the ratio of an inscribed (or circumscribed) sphere of unitradius and bounded by
 a cube of side 2-units then sets the unitvolume in an octagonised coordinate system.
V so becomes 4p/3 in the ratio 4p/(3.8)=p/6  and we have {EQ.*}.
Using perturbation techniques, one then approximates the 'naked electronmass' from its magnetocharged 
and effective progenitor.

   A complication arises because of the higher dimensional independence of the Alpha-Finestructure Constant 
from electric permittivity.
The creation world form for Alpha=60p.e^2/h as a direct reflection of the ACTION LAW (h*=ee*).
This results in a measured Alpha-Dip for certain cosmological redshift intervals (10D-11D intersections of 
electromagnetic parameters) and other factors discussed in the 'Gravitational Constant' File,  found on
this site.
There is a possibility that Euler's Constant explicitly defines the electropolecharge and hence Alpha, but this is 
a work in the wings.

   But any empirical measurements of the 'Naked Electronmass' engage the Charge/Mass ratio [e/m] and are 
thus subject to further finetuning.

                                                                                                                                                                                        Tony Sirebard