There exists a most important issue in quantum mechanics, namely the stability of the electron and the nature of its mass. QED postulates the electron as a point-particle of a size smaller than 10^-18 metres; yet the extremely successful calculations in Quantum ElectroDynamics or QED are required to 'scale up' the electron to its 'classical' size of Re so 3x10^-15 metres.
Postulating a 'Dirac Sea' of 'virtual particles' within this classical electron radius, the electron should be unstable due to the repulsion of the 'virtual electrons' of that 'uncertainty soup'.

Re=ke²/mec²= Alpha.h/2πmec² (1)

and where kG=1 in modular duality as described elsewhere and k=1/4πεo and Alpha=2πke²/hc.

We begin in assigning the Planck-Oscillator as the Gravitational Electron Mass me as a noninertial string energy in terms of the electric permittivity εo.



EPlanck=½ hf=½mec²=Gme²/Ro (2)

and where Ro is the Schwarzschild Radius for the gravitational electron. We here see straight away, that combining (1) and (2) will define the electron's Schwarzschild Radius: Ro=2Gme²/c² and relate the CER to the latter in (3).

Ro/2Re=Gme²/ke²=G²me²/e² (3)

The unification condition kG=1 now requires a crucial identity for dimensional consistency between the Planck- or String parameters.
One knows, that the Newtonian Force-Law expression is dimensionally consistent with the Coulomb Force-Law expression (both measuring force units in Newtons); but that the 'charge e' in the Coulomb-Law becomes the 'mass m' in the Gravity-Law.
Using the kG=1 identity , it is easy to show, that the product of the Planck-Length and the Squareroot of Alpha becomes: √(Alpha).Planck-Length, defining the Planck-Length-Oscillation or PLO for the Planck-Oscillator:

PLO=√(Alpha).LPlanck=√(2πke²/hc).√(hG/2πc³)=e/c² (4)

So now we have a length dimension expressed in the 'Stoney-Unit' of the Coulombic Charge quantum and as related to the Planck-Units.
The PLO now allows a string definition for the Coulombic Charge quantum as:

Stringed Coulombic Charge Quantum:
e=PLO.c² (5)

The stringed Coulombic Charge quantum so MANIFESTS as a INERTIAL charge quantum in a mass parfametric universe. This can be ascertained in the nature of electromagnetic radiation or EMR.
EMR is generated by the acceleration of Coulombic charges; where these charges are however ALWAYS associated with inertia, that is INERTIAL MASS.
The stringed Coulombic charge quantum is NOT associated with Inertial Mass, but represents its parental GRAVITATIONAL MASS.
So it is here, that the Equivalence Principle of Albert Einstein originates between them as two energy EIGENSTATES. These two eigenstates can be said to connect the boson-string epoch for a massless cosmic inflation to the mass parametric and general relativistic inertial cosmology of the thermodynamic Planck Black Body universe.

So, the informed and inquisitive reader may ask a pertinent question.

If the string epoch couples to the electric fields in the Coulombic charge quantum and the physical universe defines the electric field in electromagnetism as an invariant coupling to a magnetic field; where then is the magnetic string coupling in regards to the string epoch?
The answer is straight forward. The magnetic string coupling is the PREMASS as the Gravitational Mass and precursive to the Inertial Mass in the Equivalence Principle of General Relativity.
This of course solves many conundrums in modern cosmology all at once. The absence of magnetic monopoles in isolation becomes the effect of inertial mass being coupled electrically and gravitational mass being coupled magnetically.
Then, as inertia of mass is fundamentally magnetic string energy and no antimass is required for the thermodynamic mass evolution; no magnetic monopoles are necessary to implement the dynamics for the latter.

But now the question arises, as how to define inertial mass magnetically through and by those 'absent' magnetic monopoles.

We require an ACCELERATION of MagnetoCharges to generate the 'parental EMR' and an EMR which we may term String-EMR or EMMR for ElectroMagneticMonopolic Radiation.
The way for EMR to become generated, is by angular acceleration of say inertial protons in nuclear fusion reactions, such as occurs in stars, say the sun.
The way EMMR is generated, is by angular acceleration of stringed bosonic protons in something related to stars in say massless protostars of a premassive or preinertial or stringed scenario of Planckioan energy, related to the energy of Black Holes.
This of course has been detailed many times in QR in the Ylemic NeutronStars, which mapped the primordial Beta-minus decay as the first implementation of the weak nuclear interaction in the first 1036 seconds or so of the cosmogenesis of the thermodynamic universe.
The ylemic protostars are defined in the modern scientific literature in terms of the Jeans Radius of gravitationally collapsing hydrogen clouds. The Jeans radius is much more fundamental in defining the ylemic protostars purely in terms of subatomic parameters; a stringed neutron mass (mc) and the CER.
The formulation describes the equilibrium between the gravitational inward pressure of contraction based on the nucleonic stringmass and the thermal outward pressure of expansion due to the thermodynamic temperature of the universe itself, albeit as modulated by the kinetic energy of Vortex-Potential-Energy or VPE, which reprents the ZPE of the Planck-Oscillator under self-transformation of the stringed energies.
The expression for the ylemic radius is:

Rylem = √(kT.Re³/Gmc²) (6)

The ylemic neutron stars are the parental neutron stars and describe the transition between neutron stars and Black Holes in the reversed sense as it is observed in the astrophysics of today.
Today, a limiting mass, called the Chandrasekhar Mass (MCH) defines 'electron degeneracy' in normally gravitating matter, which 'collapses' the atomic orbitals of electrons and so results in the electron degeneracy in the astrophysics of white dwarves.
The ylemic stars reverse this process in the astrophysics of nuclear stringed 'plasma' matter expanding to allow the electrons to define the atomic structure of hydrogen and the higher elements in the appropriate nucleosynthesis of the chemical elements.
Details are found in the library on the topics of Quantum Relativity and are discussed elsewhere. The important consequence of the ylems for the present derivation for the magnetic origin for all inertial mass are the subatomic string parameters of the Re scale as the interaction scale for the strong- and weak nuclear interactions in the Standard Model of Particle Physics with a nucleon string mass mc, which becomes defined in QR as a direct function of the Planck-Mass and the Alpha-Finestructures:

mc²=hc(Alpha)^18/2πG=mPlanck².(Alpha)^18 (7)

We so have a mapping for the Planck-Mass as a gravitational stringed mass onto a manifestation of the inertial and nonstringed mass equivalence.
A detailed analysis, shows then, that this nucleonic string mass represents a phase transition from a stringed mass originating in the inflationary string epoch. It is known in the modern literature as a Grand-Unification-Theoretical GUT-mass of the X-Boson. It can also be identified as a particular heterotic string class of a symmetry group HO(32) in M-braned string theory.

Now it is here, that we shall find the magnetic orgin for mass; as the parent of the X-String-Boson is the Magnetic Monopole String-Boson of GUT-Energy mm=2.7x10^16 GeV.
It's definition is decisive in QR in the generalisation of the kG=1 identity of the modular duality.

Using k=1/4πεo and a finestructure for the Maxwell Constant μo.εo =1/c²=(120π/c).(1/120πc) in incorporating the finestructure of free space impedance or resistance defines k=1/G=30c in string parametric terms.

Letting ke²=GM² for M²=k²e²=(30ec)² for the decisive monopolic source mass:

Mm=30[ec]=30mm (8)

In other words all inertial mass mi has a monopolic and gravitational mass mg equivalent which is of monopolic magnetic origin and can be expressed as a magnetocharge current which incorporates the displacement element in the form (Monopolic Current ef)x(Displacement λ)=Inertial Mass.
We now extend our mass generalisation even further in defining the following identity as the Gravitational Alpha Finestructure:
2πGMo²/hc =2πGmc²/hc.{E.mPlanck²/me²} (9)
and where E represents a googol (a number greater than 10^100) as a spacetime quanta counter; i.e. the number of Weyl-String Volumes at a particular chronologiocal n-time in the cosmology.
This 'special' time then defines the Sarkar-Black Hole to have the Schwarzschild metric:

Mo=RSarkarc²/2G=√(E){mPlanck.mc/me}
=√(E).{mPlanck²/me}.Alpha^9
=√(E).{mc²/me}/Alpha^9 (10)

Crystallising the basic fundamental nucleon/electron ratio mc/me, we so relate the BH-Cosmology of the massless gravitational universe to the inertially massive universe defined in the couplings between nucleons and electrons, ergo the Planck Black Body thermodynamic cosmology of the Standard Model.
But how do we define the monopolic mass equivalence in terms of the Coulombic charge quantum e?
We must derive a magneto charge quantum e*; which will be the modular dual for the Weyl-String Energy quantum: EWeyl=hfWeyl=mWeyl.c=kTWeyl as a transformed Planck-String after the end of the inflationary epoch and as the fundamental metric basis for the cosmology.
We so use the electromagnetic finestructure: Alpha=2πke²/hc = Ee²/Eo² to define a 'Charge-Seed' Eo to induct the Sarkarian Mass-Seedling Mo with its magneto charge equivalent Eo.
So the googol E becomes a higher dimensional 'Super-Alpha' as the ratio:
Alpha/Alpha*=(e²/Eo²)=Alpha/E and with
√(E)=(Mo.me/mc²)Alpha^9 from (10).
One can now predict the number of nucleons of the universe comprising the Sarkar metric in stating that (Mo/mc) nucleons will be the this number, say as the ylemic neutron VPE energy eigenstates.
As the charges must be doubled for a bifurcation into positive and negative inertia associated electric charges, say proton- and electron charges, in say the primordial ylemic neutron-mc weak interaction decay; the number of Coulombic charge quantums now must be:

2e((Mo/mc).{e/e*)=Eo (11)

It is now easy to derive the elementary definition for the Weyl-Loop Energy Eigenstate:

EWeyl=hfWeyl=mWeyl.c=kTWeyl =√2πGme²/4Alpha.e².hc}
=(me/mPlanck)(1/2e)/√Alpha=(me/2ke²)=1/2Rec²
={me/mc}{1/2e}√(Alpha^17)=1/e* (12)

This equation represents the unification equation for the entirety of physical science.

The Weyl-String eigenstate is the ZPE quantum inherent in spacetime itself. A Planckian Action Energy activates the ZPE or VPE eigenstate in transformation of the inherent magnetic monopolic string energy into a initial magneto charge current given in IWeyl=2efWeyl=2eEWeyl/h=2emWeyl.c²/h and where the Weylian mass quantum mWeyl=hfWeyl/c² becomes magneto current in modular duality of the Weyl-String in Planck-oscillation vibration to its winded string duality and as expressed in the heterotic superstring class HE(64)=HE(8x8). In QR the vibratory eigenstate is denoted as 'primary state' 'ps' and the winded state is denoted as its 'secondary' duality 'ss'.
Then, as the Weyl-mass quantum is a transformed Planck-mass of mWeyl=mps=2.22x10^-20 kg in QR; its winded string dual must become the absolute minimum frequency eigenstate for inertia as the 'inflation-defining' timeinstanton fss=3.33x10^-31 seconds.
All inertial mass so has this value as its intrinsic eigenfrequency and avoiding so any physical singularity calculations in accordance with the physical genesis of the Weyl-Loop.
All inertial mass also becomes quantised in the modular dual winded string mass-quantum:
mss=Ess/c² =hfss/c²=2.469..x10^-81 kg
This defines a low-frequency and winded magneto-electricity quantum in the form Iss=2efss as the quantisation for Coulombic flow of inertia associated electricity, in that a medium is required for the currents to flow.

We can now relate the Weyl-Eigenstate for the Planck-Oscillator to the Scale of the Electron in the CER using (12):

As Eps=(me/mPlanck)(1/2e)/√Alpha=1/2Rec²=1/e* , we are now we are able to finetune our Gravitational Electron in (2), (3) and (4) in a more precise definition:

EPlanck=½ hf=½ mec²=Gme²/Ro (2)

Ro/2Re=Gme²/ke²=G²me²/e² (3)

PLO = √(Alpha).LPlanck=√(2πke²/hc).√(hG/2πc³)=e/c² (4)

Ro/2Re=Gme²/ke²=G²me²/e²=LPlanck².Alpha/Re²=(2e/e*)² for the 12dimensional Energy Hamiltonian expression:

2Re.c²=e* <-> e=PLO.c² (13)

This becomes the mapping transformation of the magnetocharge e* and AS A MAGNETIC CHARGE from the 'higher' dimension as the CER in the 'lower dimension' and AS A DISPLACEMENT.
Modular Duality now reverses the process in mapping the ELECTRIC CHARGE from the 'lower' dimension as a now SUBPLANCKIAN DISPLACEMENT in the Planck-Length-Oscillation.
This last sentence describes the profundity of Quantum Relativity in terms of a new scientific understanding and the reformation and renewal of the paradigmatic standard models in both, the cosmology of the classical relativities and the cosmology of the quantum.
I'll end for now and attempt to share this in a readable manner with the forum member and whoever finds value in the self consistent and encompassing logos of QR.

Tony B.