Inertial inductance or relational mechanics:
Here we plug our calculated values for the cosmos into the ideas of relational mechanics and inertial inductance.

Inertial inductance:
Amitabha Ghosh in "Origin of Inertia" relates, that the force between two masses = Newtonian gravitation + velocity dependent inertial inductance + acceleration dependent inertial inductance or,

G*Mc*m/r² +
G*Mc*m/r² *(v²/c²) +
G*Mc*m/r² *(a*r/c²) =
G*Mc*m/r² *(1+(1/c²*(v²+a*r)))

Ghosh tells us that the wording "inertial inductance" is due to Sciama as is the acceleration dependant term which relates to inertia.

These concepts have a long history starting with Wilhelm Weber in 1848. They are articulated and expanded by A.K.T.Assis, whose books and online papers are recommended.

Velocity dependent inertial inductance:
Any point in the cosmos has a characteristic radius and velocity.
r = ru*fr = c*age*fr, The radius equals the fraction fr of the radius of the universe ru = c*age c times the age of the univese.
vt = vr = c*fr
We need the relative difference between the outermost spherical radius of the universe the shell and this point. rd is the difference in radius and vd is the difference in velocity,
vd = c - c*fr = c*(1-fr)
rd = ru - ru*fr = ru*(1-fr) = c*age*(1-fr)

G*Mc*m/r²*(v²/c²)
c³*age *m/r² *(v²/c²)
m *c*age *v²/r²
m *c*age *vd²/rd²
m *c*age *c²*(1-fr)²/(c²*age²*(1-fr)²))
m *c/age
The velocity dependent inertial inductance acceleration, at every location for both radial and tangent accelerations, is always c/age. The resultant of these perpendicular accelerations is a vector quantity 2^1/2 *c/age. Any mass subject to these accelerations would spiral out away from the mass center. This is the same spiral that we calculated from dynamics and inertial accelerations.

Rotating bodies in space:
Rotating bodies experience a cosmic drag due to velocity dependent inertial induction. This drag is opposite the direction of the velocity and slows the rotation. The cosmos slows in its rotation as it expands.
mass *(tangent velocity)² /(c*age), The drag force on a ring.
c/H0 = c*age = ru, radius of the cosmos, H0 is Hubble's constant 1/age.
mass *vt² /r ,The drag force on a ring is the same as centrifugal force.
mass *vt² /(ru), The drag force at the radius of the cosmos.
mass *c² /(c*age)
mass *c/age
This has the same value that we calculated for the tangent or centrifugal force at the edge of the cosmos. The gravity probe B satellite is looking for a similar effect. It is called frame dragging in general relativity. Will frame dragging get the credit for the work done by inertial inductance? See the discussion about Lense and Thirring, the originators of frame dragging, in the unique and valuable book "Relational Mechanics" by A.K.T. Assis.

Acceleration dependent inertial inductance = inertia:
G *Mc *m /r² *(a*r/c²) =
G *Mc /r *m*a /c² =
c³*age /(c*age) *m*a /c² =
m*a or F = m*a
This is Newton's law, force equals mass times the acceleration. An important point is that it takes the entire mass of the cosmos to produce the effect of inertia; F = m*a. The mass of our sun or even our cluster of galaxies is a very small part of inertia. If only half of the mass of the cosmos is used then F = 1/2 *m*a.

Angular acceleration from inertial induction:
drag force *r = moment of inertia *angular acceleration
m *v² *r /(c*age) = m*r² *angular acceleration
v² *r /(c*age) = r² *angular acceleration
v² = r² *angular acceleration
angular acceleration = c²/(c²*age²) = 1/age²
This is the rate that cosmos slows in its rotation.

Angular acceleration from torque /moment of inertia:
angular acceleration = torque /moment of inertia =
Mc*c² /(Mc*c² *age²) = 1/age²

Torque from inertial induction:
drag force *r = torque
m *vt² *r /(c*age) =
Mc *c² *c*age /(c*age) = Mc *c²

Torque from moment of inertia * angular acceleration:
moment of inertia *angular acceleration = torque
m *r² * angular acceleration = torque
Mc *c²*age² *1/age² = Mc *c²
As the moment of inertia increases with age² the angular acceleration decreases with age² so the moment of inertia * angular acceleration stays constant. As the cosmos expands the rate of rotation slows down and the energy stays constant.

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