Time Traction

The force equations from Newton and Coulomb are manipulated to insert the idea of a time traction factor.

W1 = k/G = time traction factor = 1.3466419*10^20

where
k is the Coulomb Constant 8.99*10^9 Newtons meter^2 / Coulomb^2
G is the Newton Constant 6.67*10^-11 Newton meter^2 / kg^2

For gravity, the protons and neutrons sink space and source time, resulting in a momentum of free space p

p = V/tau

where V is proton volume and tau is a time constant

tau = 5.1315 ns

For Coulomb repulsion of protons, W1 is used to scale the time constant tau to become a faster time constant, tau_e

tau_e = tau / W1 = 3.810615*10^-29 seconds

That is how much time a proton consumes while producing its own volume in space of the electromagnetic continuum. The space is Ex*Ey*Ez. The time is called Ht in the electricity continuum.

Force formula replaces Coulomb formula
The force between a number N1 of charges at a distance R from N2
charges is now expressed by the proton radius r using 8 dimensions:

f = (r^2) N1 N2 (2^8) meter^3 / (R second)^2

This uses r=0.95fm.
When R = 1 meter, two protons repel with
f = 256 r^2  = 2.31 * 10^-28 Newtons
the simple formula gives the right answer
without k, Coulomb's Constant.
Coulomb's Constant is obsoleted by r and the
Gravity Volume Theory in 8D

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Begin February 16, 2017
Numerical verification of neo-Maxwell Magnitudes
2/16/2017 acf see Jan. 20 formulas jpeg manuscript
The following test of the electromagnetic relation to gravity
is to verify the precision, compared to old science of
2013 and the past. The Gravity Volume Theory is giving
correct answers using ideas for a traction from gravity to EM.
Here are Maxwell's variables to be examined:
E
q charge
epsilon permittivity
D
mu permeability
B
H
f force between repelling protons

The charge q was defined after its formula was
found inside the E field intensity equation. The following verification
of the E magnitude formula uses q as a factor. The inner details of the
charge area q are left as the next task after E.
Seven digits of precision are used.

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
E : Electric Field = meter/sec^2 = Volt/meter
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

see geometric reasoning in ref 1
see Periodic Table of Units of Measure for primitive units.
E = Numerator / Denominator
Num = r^2 2^8 n meter^6
Den = R^2 q second^2
r = 0.950000 fm = proton radius from negative infinity
R = 1.000000 meter = test is normalized, n=1 per meter^3
tau = 5.131534 ns = conservation of continuum constant
tau_e = G tau / k = 3.810615 * 10^-29 econd
q = 1.6021765 * 10^-19 eter^2
q is in Coulombs
econd is dimension 5, eter is 6, 7, or 8. See ref 1.
G is the Newton constant, k is the Coulomb Constant
Num = 231.04*10^-30
Den = 1.6021765*10^-19
E = 144.2038*10^-11 meter/sec^2
expected value at 1 meter for 1 proton per cubic meter
is E=f/q=qk/R^2 = qk = 1.6*8.99*10^(-19+9) = 14.41734*10^-10
error ratio 1.442038/1.441734 = 1.015034
E = 1.442038*10^-9 meter/sec^2 Electric Field Intensity, volts per meter
where a normalized 1 meter distance is used. Also normalized will be:
v = 1 meter per second, t = 1 second, n = 1 particle per cubic meter,
M = 1 paired proton and electron.

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
q = charge of proton ~= meter^2 = Coulomb
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

see geometric reasoning in essay ref. 1
q= Numerator / Denominator
Num = sqrt(r^3 * meter)
Den = sqrt(cuberoot(tau_e))*10 second^(-1/6)
Num = sqrt(8.57375*10^-46) = 2.928091*10^-23
Den = sqrt(3.365102*10^-10)*10 = 1.834421*10^-4
q = 1.596193*10^-19 meter^2

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
epsilon : permittivity = second^2/meter = Farad/meter
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 3
epsilon = Numerator / Denominator
Num = tau_e^2 * 5.22792 meter^2
Den = r^3
Num = 75.91351*10^-58
Den = 0.857375 * 10^-45
epsilon = 88.54178*10^-13 second^2 / meter

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
D : Electric Displacement= 1/1 =dimensionless = Coulomb/meter^2
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 4. D was
found from multiplying epsilon times E
D = Numerator / Denominator
Num = (tau_e^2) * n * 5.227 * 256
Den = qr
Num = (3.810615*10^-29)^2 * 1338.112
Num = 1.943043*10^(4-58)
Den = 1.522067*10^-34
D = 1.276581*10^-20
expected value = epsilon E = 8.854188*1.442038*10^(-9-12)
D = epsilon E = 1.276807*10^-20 expected dimensionless aspect called displacement

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
mu : permeability of free space = meter^-1 = Henry/meter
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 5
mu = Numerator / Denominator
Num = r * 6.7878 second
Den = tau meter^2
Num = 6.44841*10^-15
Den = 5.131534*10^-9
mu = 1.256624*10^-6 meter^-1
expected value 1.256637*10^-6 Henry per meter

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
H : Magnetic Field Intensity = meter/second = Amp/meter
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 7. The H
field intensity formula was forged using the
axiom powers theorem. That allows a theoretician
to exponentiate r and tau to any power when
justified by a reason.
H = Numerator / Denominator
Num =sqrt(3 r tau ) Mv
Den = v1
v1 is 1 meter per second for this normalized test.
M=1, number of proton electron pairs
Num = sqrt(14.62487*10^-24)
Num = 3.824247*10^-12
H = 3.824247*10^-12 meter per second

Expected value for H: E/H is Z, the characteristic
impedance of free space.
Z = 376.7303 ohms = E/H
H = E/376.7303
E = 1.442038*10^-9
H expected = 0.003827773*10-9
H expected = 3.827773*10-12 Amps per meter

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
B : Magnetic flux density = second^-1 = Webers/meter^2
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 6
B = Numerator / Denominator
Num = sqrt(r^3) * 11.7568
Den = sqrt(tau)
Num = sqrt(9.5^3 * 10^-48)*11.7568
Num = 344.25046*10^-24
Den = 7.163472*10^-5
B = 4.805637*10^-20 per second
expected values B= mu H
B = 4 pi * 10^-7 * (3.824247*10^-12 )
B = 4.805692*10^-20 Webers per square meter

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
force = qE = meter^3 / second^2 = Newton
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

See geometric reasoning in essay ref. 8. That essay is about
the force with which two protons repel, based on gravity
volume theory. The radius r and time constant tau are used
as quantum numbers.
f = Numerator / Denominator = qE
Num = r^2 2^8 N1 N2 meter^6
Den = R^2 second^2 = 1
Num = 231.04*10^-30
f = 2.3104*10^-28 Newtons
where N1 and N2 are the numbers of charged particles
in two objects separated by a distance R. N1 = 1 for
this normalized test. N2=1.

Auxilliary Relations
Atomic Scale Relation
m/(alpha r) = q/(4 pi a) = 2.41 Angstroms

Cross-Continuum Relation
alpha = a second / (tau meter * sqrt(2))

Time Constant to Conserve Continuum
tau = NV second / (zA)
N is number of baryons in star, V is proton volume,
z is height fallen in 1 second, A is area of star at radius R.

Mass ratio for proton/ electron
mp / me = q^3 alpha r k pi / h^2
a = Bohr Radius
alpha = fine structure constant 1/137.03
m is proton mass

References
1 Protons Repel protons due to space growth
2
3
4
5
6
7
8

February 17, 2017

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