The Origin of Mass as Monopole-Mass Transformation


"Maxwell came up with this rather curious name because many of his ideas regarding electric and magnetic fields were completely wrong. For instance, Maxwell believed in the æther, and he thought that electric and magnetic fields were some sort of stresses in this medium. He also thought that the displacement current was associated with displacements of the æther (hence, the name).


I shall try to show that Maxwell's Ether is real in the sense of the stringed ZPE background. This will embody a imo beautiful mapping of displacement scales as fundamental cosmology.

1. MagnetoCharge e*= 2Re.c²

to define the atomic scale manifested via stringed monopolic magnetism;

2. ElectroCharge e= √(Alpha).Planck-Length.c²

to define the Planck-Length manifested via electricity;

3. Magnetic Constant μo= (Radian definition).Weyl-Perimeter.c²

to define the 9-micron scale as a 'lifeforce' for biovitality in the universe.


We recall equation (13):



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.

Now recall the Newtonian- and Coulombian ForceLaws describing the inverse square expression for the 'infinite' interactions between 'pointcharges e' and between 'pointmasses m' and separated by a distance r:

Fe=ke²/r² and Fm=Gm²/r² and from which the Energy formulas describe electric- and gravitational potential energy in the forms Ve=ke²/r and Vm=Gm²/r.

Substituting the action parameter hc/2π for displacement r then crystallises the dimensionless finestrycture for the energy interactions of electromagnetism and gravitation.

This leads for example to a description of chemistry in form of the Rydberg spectra, derived from the Bohr atom and where for the Rydberg-Constant
Ry=Alpha³/4πRe we find hc.Ry=Alpha².mec²/2 as the Rydberg Energy with Ry finestructuring in the wave quantum numbers k for the atomic spectra as:

k=Ry(1/n² -1/m² )Z² and with Z the atomic number for the elements.

Modular Duality connects these two potential energy expressions in an inversion energy, we have termed MagnetoCharge as inversed Weyl-Energy however and we write the so called ZPE as a potential energy and as VPE=Vortex-Potential-Energy:

1/ZPEWeyl = e* = [360Re/8π](√μo)²/λWeyl

for
μo = [8π/360]e*.λWeyl/Re = 120π/c
=[2π/45].λWeyl.c² (14)


We have used the the 'lower dimensional' manifestation of the StarCoulomb C* as the unit for inverted Zero-Point-Energy or ZPE=VPE in [1/J].

This crystallises the CER as:

Re =10^10.λWeyl/360 = [2π/360]10^10.λWeyl =e*/2c² = λWeyl./2hc³

for EWeyl=1/e*=hc/λWeyl and h=1/e*fWeyl (15)


The StarCoulomb so has 'higher dimensional' string units as Volume.Angular Acceleration or V.df/dt, but manifests as the 'inverted' ZPE.

We now introduce a Generalised Action Law: ACTION=CHARGE² ; which manifests in the lower dimensions in the form of supercoductivity, say in the Quantum Hall Effect (RH=VH/IH=h/ne²); Josephson Frequencies (f=(2e.V/h) and the Conductance Quantum (2e²/h); all of which describe a unified Resistance in Ohms (Ω) via a:

Free Space Impedance:

Zo = √(μo/εo) = (2h/e²).Alpha = 120π (Ω)

for Alpha=Zo /2RH for n=2 in the quantised Hall effect. (16)



Maxwell's equation for the displacement current jD = εo.∂/∂t∫E.dS from





and




now gives the dimensional analysis: [jD]=[C²/Jm][1/s][V/m][m²]=[C/s]=[A] -> ef=I for current in the lower dimensional realm becoming the magnetocurrent: [ec]=[efλ]=[imλm] in the higher dimensional scenario of its transpositional mapping.


We so define the mass equivalence for a mass m quantised in N to magnetocurrent as follows:


For any mass m: m= N.mss = N(efss)λm

The elementary monopolic current quantum is: efss = ec²mss/h ~ 5.353x10^-50 Ampere* for mss=hfss/c²=2.4691358..x10^-81 kg* .


The stringmass quantum mss = N(efss)λm is the Inertial Mass Quantum and where (efss)λm ~ 5.353x10^-50 Ampere* is the equivalent Gravitational Mass Quantum as a monopolic mass current, manifesting at the unification wavelength scale of the GUT-Monopole of energy 2.7x10^16 GeV and as the monopolic perimeter of λm =mss /(efss)=h/ec² = 4.611023....x10^-32 m* and as a magnified and transformed Planck-Length λPlanck =2πRPlanck.

λm /λPlanck = {h/ec² }/{√(2πhG/c³)}=√(15h/π)/e = √(10^-32/π)/e
= (10^-16/e)/√π (17)

These definitions take the transformation mapping of the mensuration units between the dimensions and so the generalised action law for unitised resistance and impedance into account. The squared Impedance is measured in Ω²=H(enry)/F(arad) and so in a sense defines an Impedance Action h*=ee* from Zo = √(μo/εo).

As the PLO=√(Alpha).√(hG/2πc³)=e/c², {h/ec²}=h.PLO/e² as a transformed displacement unit.

The modular duality between the elctric potential Ve=ke²/r and the gravitational potential Vm=Gm²/r so describes an inversion lightpath for gravitation in the identity:

For Electromagnetism: c = λemr .femr in m/s

For Gravitation: c = 1/(λgr .fgr) in s/m

subject to the string duality: λps λss=fps.fss=1 and the maximum- and minimum boundary/initial conditions for the 'awareness' or angular acceleration differential df/dt being:

(df/dt)max = fps² and (df/dt)min = fss²=1/fps² (18)