As I have no interest to 'overwhelm' Brook's thread here with scientific calculations and principles, this message detailing Dirac's proposal for a diminishing gravitational constant with time and proportionally scale-relating the microcosm to the macrocosm in say the Age of the Universe; this addendum shall be my last contribution on this thread.
The later part of this message relates to the 'changing magnetic field' of not just the earth, but to all celestially rotating bodies in a fundamental relationship between any such mass and its rotation rate then creating a multidimensional magnetic field around the rotating body.
NEWTON'S GRAVITATIONAL CONSTANT MEASUREMENTSThe speed of light 'c' has been measured to an accuracy of 8 decimal places and Planck's Constant 'h' is known with an error not exceeding one part per million.
This is not so for Newton's Gravitational Constant 'Big G'.
The National Bureau of Standards (NBS) in Gaithersburg, Maryland, US began measuring 'G' in the 1930's to establish the Luther-Towler-Number LTN=6.67259x10
-11 G-units (m³/kg.s²).
So it stood until 1994, when the renowned PTB in Braunschweig, Germany's Standards Laboratory measured G much higher, differing in the 3rd decimal place.
Then New Zealand's Measurements Standard Laboratory published avalue significantly below the LTN and the University of Wuppertal derived a value in between the NZ one and the LTN.
Notwithstanding the ever improving technological advances and measuring techniques; using torsion pendulums, tungsten cylinders or suspended or accelerating testmasses; 'Big G' has proven to be intractable to conformity.
Two of the latest measurements are 6.67327x10
-11 and 6.6742(10)x10
-11 G-units and values by no means definitive.
What is going on?
Shifting heavy objects in the vicinity of the test apparatus seems to influence the atomic structure of the testmasses, irrespective of the isolated environment created for the testing conditions.
The following treatise shall resolve the conundrum and illustrate the unruly behaviour of 'G' as a consequence of the initial boundary conditions for the universe's subsequent evolvement.
It shall indicate that even a 'massless' universe would contain a diminished G-component as the electric permittivity of a massless macroquantised (Hawking) BlackHole and that the present dilemma derives from a finestructure of the nucleonic constituents, which, by definition, must comprise the testmasses.
A precise measurement so would rely on an unambiguous calculation for two neutronic restmasses, a condition which we shall show to be unachievable, because of the nature and interrelationship between the parameters of inertial mass and those of electromagnetic charges.
There are actually TWO G-Constants, one constant as say G
o in the quantum gravity models defining the Planck-Scale and another one used for agglomerated masses, say two masses M
1,2 being comprised of say N
1,2 neutrons (or nucleons).
We shall find a maximised neutron mass m
nmax (or nucleon mass via the beta-minus decay of the weak nuclear interaction giving the quark-lepton content of the Standard Model in say protons, electrons and antineutrinos) and a minimum neutron mass m
c, and the latter being a direct consequence of the Planck-Mass m
P=√(hc/2πG
o) from the gravitational finestructure G-alpha=2πG
oM²/hc. So setting G-alpha to unity gives the Planck-Mass.
But setting M=m
c gives the G-alpha as the force-interaction ratio between the electromagnetic alpha, defined as: alpha=2πke²/hc with k=1/4πε
o.
One can so immediately calculate the minimum neutron mass as the expression:
mc=√{G-alpha.hc/2πGo}.
Now the ratio between the electromagnetic- and the gravitational interaction strengths is measured and of the order of alpha/G-alpha~10
-39 and one can actually define the G-alpha as a function of alpha and as G-alpha=alpha
18, using the string parameters of Quantum Relativity.
This defines the minimum neutronmass m
c explicitely as:
mc=√{ke².alpha17/Go}.
In string parameters, the unification condition for the interactions at the stringenergy scale demands kG
o=1 for a m
c=[e/G
o].alpha
8.5=9.9247246..x10
-28 kg*. This represents so 58% of the neutron (or nucleon) mass as measured today and is the actual minimum neutron mass.
Now the truly CONSTANT GM² structure in say Newton's Law, is given by the product G
om
c²=1.094446..x10
-64 Nm².
This however is finestructured in introducing a maximum neutron mass given in a unification condition, known as the Euler Identity: X+Y=XY=-1=i²=℮
iπ and applying the absolute value of unitised 1.
We write: G
om
c²={G
oX
n+k}.{m
cY
n}.{m
cY
k}=G
m.m
nmax.m
nmin and where G
m is the actual G value as measured and which has proved difficult to do so in the laboratories. So the applied G value is: G
m(n)=G
o.X
n+k and where n is a cycletime n=H
ot for a nodal universe with dn/dt=H
o the nodal Hubble Constant H
o=c/R
max for a Hubble radius R
max.
The applied G
m so ALWAYS engages a maximised neutron mass (calculated as {m
cY
n}~ 1.7115x10
-27 kg in string parameters for a present cycletime coordinate n
p=1.1324..) AND a minimised neutron mass (calculated as {m
cY
k}). The value of k is so determinative for G
m and differs over the evolution of the universe with respect to cycletime n and as finestructured for an AVERAGE G-value (G
av) obtained in using the geometric mean for the neutron masses in extremum (minmax productation).
One can easily calculate G
av=G
o.X
n=6.44317..x10
-11 G-units for a geometric neutron mass product of m
nmax.m
nmin=m
c².Y
n =1.69861...x10
-54 kg² for the constancy condition of G
om
c²=1.094446..x10
-64 Nm² and omitting the k-factorisation. But this averaged G value applies for a massless universe under the initial unification condition of the finestructures described in G
ok=1 or G
o=4πε
o (using Stoney Units for the Planck-Scaling of the chargequantum e).
So BECAUSE an initial mass seedling M
o={m
c.m
P/m
e}√E ~ 1.8137..x10
51 kg* became transformed in the de Broglie phase inflation from its preinertial state as gravitational mass into the state of inertia (this is called the Big Bang for a spacetime quanta counter E); this 'Principle of Equivalence' introduced the hitherto massless 'ylemic' 'neutron bosons' as dineutronic states, which under the Higgs mechanism became fermionic and established the mass seedling M
o as the primordial neutron matter, then decaying via beta minus decay into the observed matter in the universe (there was no antimatter).
Subsequently the EMERGENCE of inertial mass under c-invariance also introduced a finestructure for 'G' as described in the above. One can determine the value of k from finestructuring the critical masses M
o, M
∞ and M
Hawking as boundary Black Hole masses coupled to the quantum minmax neutron masses.
For curvature radius R
max and the critical density ρ
c=M
∞/V
max=3H
o²/8πG
o the Schwarzschild metric gives M
∞=R
max.c²/2G
o=c³/2G
oH
o= ~ 6.47058..x10
52 kg*.
For the curvature radius R
Sarkar=2G
oM
o/c², we have the deceleration parameter q
o=½Ω
o=M
o/2M
∞=2G
oH
oM
o/c³ ~0.014015... and which so determines the 'missing mass' in the universe to be a consequence of the initial boundary conditions set by the de Broglie inflation and the overall Black Hole evolution of the stringed parameters.
The Mass-Temperature modulus of Stephen Hawking determines M
Hawking=Constant/T
Hawking for a boundary condition of maximised Black Hole Mass for a minimised Black Hole Temperature in M
HawkingT
Hawking=constant for Constant=hc³/4πG
ok and k the Stefan-Boltzmann constant.
The relationship is given in superstring (Planck) parameters by
M
min.T
max={c/2π}².M
max.T
min=hc³/4πG
ok= ½m
P.T
P and T
P the Planck Temperature T
P=m
P.c²/k.
This sets the Hawking-Gibbons thermodynamic temperature minima for T
o=constant/M
o ~ 5.03..x10
-28 K* and T
∞=constant/M
∞ ~ 1.41..x10
-29 K*.
As the minimum macro Black Hole has Schwarzschild metric λ
min/2π=2G
oM
min/c² for T
max=hf
max/k=hc/λ
mink; and modular duality requires the unification condition for the minimum curvature to relate to a maximum curvature in R
min=λ
min/2π=1/R
max or R
max=2πλ
max, as R
min.R
max=1.
In gauge bosonic string parameters, this modular duality then is given in E
max=hc/λ
min=m
max.c²=kT
max and E
min=hc/λ
max=m
min.c²=kT
min and in the invariance of the lightspeed parameter c as c=f
maxλ
min=1/f
minλ
max or the dimensionless unification conditions: E
max.E
min=h² and E
max/E
min=f
max²=1/f
min²={c/λ
min}²={c/2πR
min}²={cR
max/2π}²={cλ
max}².
This gives a proportionality: m
max.T
min=m
min.T
max for the gauges, which is however modified in the dimensionless factor {c/2π}² for the Black Hole masses for the given temperatures, as bosonic masses describe bosonic Black Holes via E=kT and not the cosmological Black Holes of the Schwarzschild metric.
The c-invariance so uses modular duality in the quantum Black Hole limit
c=f
maxλ
min=2πf
maxR
min for f
min=c/λ
max=c/2πR
max as an unmodulated frequency in T
min=E
min/k=hc/2πkR
max=hc.λ
min/4π²k=3.58856...x10
-26 K* and a temperature above the Hawking-Gibbons limit as required.
This differs in a factor {2π/c}² from the lightspeed inversion in T
min=hf
min/k and so 1.574x10
-41 K*, which violates the Hawking-Gibbons boundaries in NOT using the modular duality and with f
min=1/f
max in frequency units and NOT inverted time units.
And so M
min.T
max=hc
3/4πG
ok=½m
P.T
P=M
Hawking.hc.λ
min/4π
2 and the Hawking Mass is determined as M
max=M
Hawking=πc²λ
max/G
o ~ 2.544690...x10
49 kg*.
We can see, that this modulation closely approximates the geometric mean of the seedling mass in M
o2/2M
∞.M
Hawking=3.2895..x10
102/3.2931..x10
102 ~ 0.9989...
This also circumscribes the actual to critical density ratio in the omega of the general relativistic treatment of the cosmologies.
Now recall our applied G value in G
m(n)=G
o.
Xn+k and apply our just derived Black Hole Mass modulation coupled to that of the quantum micromasses.
We had: G
om
c²={G
oX
n+k}.{m
cY
n}.{m
cY
k}=G
m.m
nmax.m
nmin and where G
m is the actual G value as measured and which has proved difficult to do so in the laboratories.
G
m(n)=G
o.X
n+k=G
om
c²/m
nmax.m
nmin=G
om
c²/({m
cY
n}{m
nmin}) and where we have {m
nmin=m
cY
k} for the unknown value of k.
So G
m(n)=G
o.X
n+k=G
oX
n[m
c/m
nmin]=G
o{m
c2/m
cY
n}.{M
o2/2M
∞.M
Hawking.m
av} and where now {m
nmin}={m
cY
k}={2M
∞.M
Hawking.m
av/M
o2}=1.0011..m
av.
m
av={M
o²/2M
∞.M
Hawking}{m
nmin}={M
o²/2M
∞.M
Hawking}{m
cY
k}=0.9989..{m
cY
k} and obviously represents a REDUCED minimum mass m
nmin=m
cY
k.
But the product of maximum and 'new' minimum now allows an actual finetuning to a MEASURED nucleon mass m
N by: m
N² = m
avY
n.m
cY
n=m
av.m
nmax.Y
n.
So substituting for m
av in our G
m expression, will now give the formulation:
G
m(n)=G
o.X
n+k=G
oX
n[m
c/m
nmin]=G
o{m
c2/m
cY
n}.{M
o2/2M
∞.M
Hawking.m
av}
G
m(n)=G
o.X
n+k=G
oX
n[m
c/m
nmin]=G
o{m
c2/m
cY
n}.{M
o2/2M
∞.M
Hawking}{m
cY
2n/m
N2}
G
m(n)=G
o.{m
c2/m
N2}{M
o2/2M
∞.M
Hawking}Y
n=G
o.X
n The average nucleon mass m
N is upper bounded in the neutron mass and lower bounded in the proton mass, their difference being an effect of their nucleonic quark content, differing in the up-down transition and energy level.
For a Neutron Restmass of: m
n=1.680717x10
-27 kg* (941.6036 MeV*) the substitution (and using calibrations m=0.9983318783m*; s=0.9990230094s*; kg=0.99626135kg* and C=0.997296076C* gives G(n
p)=6.678764x10
-11 (m
3/kgs
2) and a perturbation corrected m
n=1.681100563x10
-27 kg* (941.818626 MeV*) gives:
G(n
p)=6.675715x10
-11 (m³/kgs²).
The perturbation upper limit is given in the m
n=1.681335x10
-27 kg* (941.9506 MeV*) and gives:
G(n
p)=6.6738445x10
-11 (m³/kgs²). The average for the last two values then approximates as a 'best fit' for:
G
m(n
p)=6.6747798x10
-11 (m³/kgs²).
This is a best-fit approximation, considering the uncharged nature of the testmasses.
This then gives the value of k from G
m(n)=G
o.X
n+k as k=ln(G
mY
n/G
o)/lnX and which calculates as k= -0.073387..
Two protons (m
p=1.6789x10
-27 kg* (940.56 MeV*) would give:
G(n
p)=6.6936x10
-11 (m³/kgs²) and a proton-neutron pair would yield: G(n
p)=6.6791x10
-11 (m
3/kgs
2); both of the latter values unsuitable because of the electrocharges increasing theintra-quarkian Magnetocharge coupling between the two mesonicrings of the neutron and the single mesonic ring in the proton'sdown- or KIR-quark.
The best approximation for 'Big G' hence depends on an accurate determination for the neutron's inertial mass, only fixed as the base nucleon minimum mass at the birth of the universe. A fluctuating Neutron mass would also result in deviations in 'G' independent upon the sensitivity of the measuring equipment. The inducted mass difference in the protonic-and neutronic restmasses, derives from the Higgs-Restmass-Scale and can be stated in a first approximation as the groundstate.
Basic nucleon restmass is: mc=√Omega.mP=9.9247245x10-28 kg*.
(Here Omega is a gauge string factor coupling in the fundamental force interactions as:
Cuberoot(Alpha):Alpha:Cuberoot(Omega):Omega and for Omega=G-alpha.)
KKK-Kernelmass=Up/Down-HiggsLevel=3x319.62 MeV*=958.857 MeV*, usingthe Kernel-Ring and Family-Coupling Constants.
Subtracting the Ring-VPE (3L) gives the basic nucleonic K-State as 939.642 MeV*. This includes the electronic perturbation.
For the Proton,one adds one (K-IR-Transition energy) and for theNeutron one doubles this to reflect the up-down-quark differential.
Proton m
p=u.d.u=K.KIR.K=(939.6420+1.5013-0.5205)MeV*=940.6228 MeV*. Neutron m
n=d.u.d=KIR.K.KIR=(939.6420+3.0026-1.0410)MeV*=941.6036 MeV*.
This is the groundstate from the Higgs-Restmass-Induction-Mechanismand reflects the quarkian geometry as being responsible for theinertial mass differential between the two elementary nucleons. All groundstate elementary particle masses are computed from theHiggs-Scale and then become subject to various finestructures. Overall, the MEASURED gravitational constant 'G' can be said to be decreasing over time.
The ratio given in k is G
mY
n/G
o~0.60073... and so the present G-constant is about 60% of the one at the Planck Scale.
For G
m(n)/G
o=X
n+k=u=e
(n+k)lnX by (n+k)lnX=lnu for dG/dt=(dG/dn).(dn/dt) and with n=H
ot with dn/dt=H
o and H
o=c/R
Hubble=n[sub]present/t
present(dG(n)/dt)/G
o=H
o.lnX.e
klnX+nlnX] ~(-9.035849..x10
-19).(0.600724..)=(-5.42805x10
-19) seconds or a decreasing change of G
m(present) of about 1.713x10
-11 G-units per 'civil' year.
Setting k=0 gives the noninertial G-constant for the electric permittive cosmology as a Lower Bound, for which G(n)=G
oX
n:
(dG(n)/dt)/G
o=H
o.lnX.e
nlnX] ~(-9.035849..x10
-19).(0.57988..)=(-5.23971x10
-19) seconds or a decreasing change of G
m(present) of about 1.6535x10
-11 G-units per 'civil' year.
An Upper Bound can be approximated by =G(n)/G
o=X
n+k/Age of the Universe,
G(n.t) so decreases nonlinearly, but at a present rate of 0.60073/19.11x10
9 per year, which calculates as 3.143..x10
-11 G-units per year as a linear upper bound approximation.
Generally using the exponential series expansion, one can indicate the change in G.
For X
n+k=z=exp[(n+k)lnX] by (n+k)lnX=lnz for the value Z=(n+k)lnX=-0.481212(n+k); z transforms in exponential expansion e
x=1+x+x
2/2!+x
3/3!+x
4/4!+...
For a function f(n)=z=G
m(n)/G
o=X
n+kf(n)=1-(0.481.)(n+k)+(0.231.)(n+k)
2/2-(0.111.)(n+k)
3/6+(0.053.)(n+k)
4/24-...+...
For 4th order with n=1.1324.. and k=0 (for a purely electromagnetic universe of zero mass content where the curvature derives from the gravitational mass equivalent of the Equivalence Principle of General Relativity):
f(1.1324.)=1-0.545+0.148-0.027+0.004-...+...~0.580
So the gravitational G
m(1.1324)=(0.580)G
o=G
o.X
1.1324~6.444x10
-11 (m
3/kgs
2).
At timeinstantenuity of the Quantum Big Bang, n=n
ps=λ
ps/R
max=6.2591x10
-49~0
Then G
BigBang=G
oX
nps=G
o (to 50 decimal places distinguishing the timeinstanton from the Nulltime as the Planck-Time transform).
For our previously calculated k=ln(G
mY
n/G
o)/lnX and which calculates as k= -0.073387..
f(n)=1-(0.481.)(n+k)+(0.231.)(n+k)
2/2-(0.111.)(n+k)
3/6+(0.053.)(n+k)
4/24-...+...
for f(1.1324)=1-0.509+0.129-0.0220+0.0028-...+...~0.601 to fourth order approximation.
Hence, the gravitational constant assumes a value of about 61% of its Big Bang initialisation and calculates as 6.675x10
-11 G-units for a present cycletime n
present=H
ot
present=1.1324...
The introduction of the mass seed coupling between the macroquantum M
o and the microquantum m
c=m
Palpha
9 (from the gravitational finestructure unification) PERTURBS the 'purely electromagnetic' cosmology in the perturbation factor k and increases the purely electromagnetic G
memr in the black hole physics described.
So gravity appears stronger when one 'looks back in time' or analyses cosmological objects at large distances. The expansion parameter (a) in the Friedmann-Einstein standard cosmology can be rewritten as a curvature ratio R(n)/R
max={n/(n+1)} and describes the asymptotic universe in say 10 dimensions evolving under the inertial parameters of the c-invariance. This 'lower dimensional universe' is open and expands under hyperbolic curvature under the deceleration parameter q
o=½Ω
o=M
o/2M
∞=2G
oH
oM
o/c³ ~0.014015... This open universe is bounded in the 'standing wave' of the Hubble Oscillation of the 11D and 'higher dimensional universe'.
The boundary is given in the omega of the 'missing mass' of the volumes, which differ in a factor of V
11/V
10=n
Rmax³/(n/(n+1))³R
max³=(n+1)³/n²=DIM-Factor (and which assumes its minimum for one complete oscillation for n=2 as DIM=27/4=6.75 so 14.7 Billion years from the present).
Presently, for n=1.132419.. DIM=7.561.. and so the 'missing mass' will be measured as a 'dark matter' distribution of 'dark haloes' etc. around the luminous matter given in the ylemic mass seedling M
o of the baryonic matter.
As M
o is just 2.8% of M
∞, but is subject to a 'growth' in the maximising factor Y
n=1.724.. for the present epoch, one can take the factor M
av==M
o.√Y
n=1.313.. for a 'dark matter' percentage upper bounded in 2.8%(1.724)~4.83% and lower bounded in 2.8%(1.313)~3.68%.
But so 7.56 open universes are contained within the closed and spherical universe given in the Hubble bound. And the 'dark matter' will be 7.56 times the luminous baryonic matter in the interval {27.82%, 36.51%} as percentage of the total energy of closure for Ω
o=1 and the critical density ρ
c=M
∞/V
max=3H
o²/8πG
o.
Our Big Bang happened at the modular time 1/f
max=t
min=f
min=3.33..x10
-31 seconds*, coinciding with the end of the stringed inflation epoch of the standard cosmology.
The 'de Broglie' inflation established the crucial boundary parameters as say given in the M
o and M
∞ Black Hole masses described.
As the baryonic mass seedling M
o sets the Sarkar Scale for the cosmic architecture in the size of galactic superclusters as the limit for the gravitationally interacting systems before cosmic homogeneity; there must be a Black Hole evolution superposed onto the expansion of the 10D universe and the oscillation of the 11D universe which 'adds' a 'electromagnetic' volume of 2π²R
max³ at the Hubble nodes every 16.9 Billion years.
In terms of the dimensional 'intersection' this can be described as a 'Strominger Brane' evolution with the Sarkar Scale set at the instanton, decreasing as a 'shrinking' Black Hole until it becomes massless at the wormhole scale defined in the minimum macro Black Hole λ
min/2π=2G
oM
min/c²=1.591549..x10
-23 metres*.
This then resets the bosonic micro Black Holes with their macro counterparts under the modular duality.
This Black Hole evolution is higher dimensional and purely electromagnetic, not being observable due to its noninertial nature, except the so called 'dark matter' and 'dark energy' scenarios of the boundary- and initial conditions. This can lead to a feasible model for the phenomenon of consciousness.
The process will take place in a DIM factor of about 234.5 as: M
min.Y
N=M
∞ and for
N=ln(M
∞/M
min)/lnY~234.5 and so in 16.9x234.5 Billion years, which are about 4 Trillion years.
The addition of inertia to a purely electromagnetic monopolic cosmology then varies the value of Newton's gravitational constant G as a function of the micro-macro evolution of the Black Holes and renders the applicable local G-constant as mensuration dependent on the precision measurement for the basic nucleon mass
mcYn for a local epoch-cycle coordinate
n=Hot.
r
psY
n=R
H then defines n
recharge =ln[R
H/r
ps]/ln[Y] ~ 234.472 or about 3.9628 Trillion years.
The Cyclic Universe, so 'rebangs' itself every 4 Trillion years or so to ensure its continuation of selfexploration and by
interdimensional civilisations defined in
multiverses, each of which is required to be seeded in a prototypical template universe as mirror holofractal of itself.
The gravitational constancy of G
om
c²=1.094446..x10
-64 Nm² will then be effected by a very small G
av=G
oX
n~1.463x10
-105 G-units, but compensated with a 'mass-evolved' universe with m
cY
n~7.535..x10
67 kg* and where this 'evolution' energy can be physically modelled as 'cosmic consciousness' defined in the 'awareness' df/dt minimised in f
min² and maximised in f
max² and as a form of radial displacement independent angular acceleration acting on spacetime volumars defined in the classical electron diameter (2R
e) times c² defining the magnetocharge e* as inversion of the Big Bang base parameter of the wormhole energy quantum E
max=1/e*=1/2R
ec² for a Planck Constant finestructure h=λ
min/e*c.
This "Strominger brane' evolution avoids the so called 'heat death' of the universe in a form of 'recharging' and coincides with the projected 'running out' of stellar nuclear fuel of the transformation of the elements within stars in the stellar evolution scenarios.
The entire cosmology is underpinned by a Black Hole evolution, which incorporates the quantum geometric microcosmos and the geometric relativistic macrocosmos simultaneously - all for the 'cosmic purpose' to manifest 'evolved mass' as 'consciousness' or 'dark light' or antiradiation.
Tonyblue
Admin
Posts: 1410
Tonyblue - Posted Jan 23rd 2011
vALERY - Posted 4 Days Ago To any interested. without going into a vary long discussion. Our local gravity is constantly being altered. One fifth to approximatly one sixth of the local mass of the earth/moon gravitational system is orbiting around the earth. During the moon orbit the moon pass through differing areas of earths Magnetosphere. These orbits alter both the magentic and gravational moments causing slight shifts in gravity.
It is all in the timing and tracking the moving bloch walls. But first you need the keys to understand the puzzle.
Momentary monopole moments.
I have created/rediscovered an entire theory that can simple explain away gravity as a momentary mono-pole reaction with a twist on ether side. Twist cause plantary orbit and rotation.
Hope to share it all to the world soon.
Ed leedsklnin knew it also.
Valery
Indeed Valery!
A Reformulation of the Biot-Savart Law for Magnetic Flux Density shows, that the Magnetic Field of the earth changes either in proportion to its rotation speed about its axis or as a dynamic oscillation of its core.
The Biot-Savart law (Laplace-Ampere) states Magnetic Flux (measured in Tesla=Weber/Area=Volt.time=Energy/Current) to be dB=μ
oi.dL/4πr² from B=μ
oqv/4πr². For a tangential velocity v the angular velocity ω=2πf=vr.
The finestructure unification between the electromagnetic alpha=2πk.e²/hc and the gravitational alpha 2πGomc²/hc then modifies this law as B=Mω/2Rc² by the monopolic string mass-current M=30ec for a magnetocharge e*=2e as a Cooper-Charge for the superconductive Cosmic String, manifesting as e=½e*=½(M/30c).
The detailed derivations are appended.
For the Earth then:
The earth's magnetic field approximates as 3x10-5 Tesla (0.3 gauss) for a core-mantle differential rotation.
Mcore=ρcore.Vcore~9x1022 kg and Rcore~1.2x106 m and ω=2π/86,400.
Here M becomes the unitised mass of the rotating system of angular velocity ω and a displacement radius R.
So Valery's proposal of a mass distribution of magnetomonopolar moments in the earth's atmosphere can be restated as an increase of the core-mantle differential in the scalefactor R.
Increasing the Mass of the Earth is unnecessary should the scale radius Rcore be allowed to oscillate and at the present time resulting in a diminishing overall magnetic gaussian flux due to the size of the core increasing in volume compared to its encompassing magma mantle.
In certain gravitoelectric effects (see http://www.thuban.spruz.com/forums/?page=post&id=16770369-62B0-4E6A-A630-313D5EB1E228&fid=CE783297-5E53-4994-B544-EE129240CFDB ), the rotation rate is said to be so 6500 cycles per minute and so w=2πf~680 radians per second.
The magnetic flux then is a function approximated by B~[3.8x10-15]M/R).
So B increases for a given radius with the gravitomagnetic mass in a selfinduction.
Generally, a rotating cosmic body of mass M and spinrate ω selfinduces a gravitomagnetic field in analogy to the laws of Maxwell, Faraday and Lenz in a form of B=Mω/2Rc².
For a typically evolved galaxy such as the Milky Way, the masses are of the order of 2x1042 kg, inclusive the dark matter as gravitationally acting component. A typical radius is of the order of 50,000 lightyears or so 5x1020 metres and a galactic rotation rate can be approximated in so 250 Million years, being the rotation period of 'our' solar system about the galactic core.
This then gives the INTRINSIC magnetic field for a nonionised charge distribution and for the Milky Way: B=(2x1042 kg)(2π/8x1015 s)/(18x1016x5x1020 m)~2x10-11 Tesla or 2x10-7 gauss or 0.2 microgauss.
This is on the scale of the New Scientist article mentioned in the link above http://www.thuban.spruz.com/forums/?page=post&id=16770369-62B0-4E6A-A630-313D5EB1E228&fid=CE783297-5E53-4994-B544-EE129240CFDB ,
So what are the 'seedling' magnetic fields, proposed in that latter article to have derived from Cosmic Strings at even smaller magnitudes?
It is simple, when we realise that this seedling must be the entire universe itself.
The Hubble-Frequency is so 1.9x10-18 s and the Hubble-Radius is so 2x1026 metres and the mass-seedling is 2x1051 kg baryonic and 6.5x1052 kg for the asymptotic closure in Euclidean flatness of zero curvature.
This gives a cosmic magnetic field of B=9x10=10 Tesla and B=3x10-8 Tesla and just the measured galactic typical 'upper bounds' for the universe's mass say.
The universe so displays magnetism on account of its Hubble-parameters, which are magnified string parameters.
And the absolute minimum frequency for the wormhole is 3.33x10-31 seconds and applying this as a Zero-Point for the cosmogenesis; the 'seedling' magnetic field would become so B=1.4x10-22 Tesla and B=4.7x10-21 Tesla for our total mass distributions.
The Cosmic Strings are always associated with Black Holes as Vortex 'seeds' and depict the monopolic mass-current from the upper bounded monopole mass of 2.7x1016 GeV, which is the string unification scale as first Planck-Nugget transformation.
The Biot-Savart Law: B=μoqv/4πr2=μoi/4πr=μoNef/2r=μoNeω/4πr for angular velocity ω=v/r transforms into B=constant(e/c3)gxω
in using acentripetal=v2/r=rω2 for g=GM/r2=(2GM/c2)(c2/2r2)=(RSc2/2R2) for a Schwarzschild solution RS=2GM/c2.
B=constant(eω/rc)(v/c)2=μoNeω/4πr yields constant=μoNc/4π=(120πN/4π)=30N with e=mM/30c for
30N(eω/c3)(GM/R2)=30N(mM/30c)ω(2GM/c2)/(2cR2)=NmM(ω/2c2R)(RS/R)= {M}ω/2c2R.
Subsequently, B=Mw/2c2R = NmM(RS/R){ω/2c2R} to give a manifesting mass M finestructured in
M=NmM(RS/R) for N=2n in the superconductive 'Cooper-Pairings' for a charge count q=Ne=2ne.
But any mass M has a Schwarzschild radius RS for N=(M/mM){R/RS}=(M/mM){Rc2/2GM}={Rc2/2GmM}={R/RM} for a monopolic Schwarzschild radius RM=2GmM/c2=2G(30ec)/c2=60ec/30c3=2e/c2=2LP√Alpha=2OLP.
There are many references by professional cosmologists regarding the constraints on the G-variation
i.e.Constraining a possible time variation of the gravitational constant with terrestrial nuclear laboratory data
P. G. Krastev, B. A. LiDepartment of Physics, Texas A&M University – Commerce, Commerce, TX 75429, U.S.A∗
http://arxiv.org/abs/nucl-th/0702080v2
andA new white dwarf constraint on the rate of change of the gravitational constant
Marek Biesiada, Beata Malec
http://arxiv.org/abs/astro-ph/0303489v3
Tonyblue