**Inertial inductance or relational mechanics:**Here we plug our calculated values for the Cosmos into the ideas of relational mechanics and inertial inductance. Cosmos is the term I use for our local dynamic knowable subset of the entirety of the universe. The universe is an existential term for everything. The Cosmos can be called the observable universe.

**Inertial inductance:**

Amitabha Ghosh in "*Origin of Inertia*" relates in his excellent book:

**The force between two masses are:**

**Newtonian gravitation,**which is the gravitational force +**Velocity dependent inertial inductance,**which is the gravitational force times the ratio of the velocities squared +**Acceleration dependent inertial inductance,**which is inertia, which is the gravitation force times an acceleration term or,

- G*Mc*m/r
^{2}+ - G*Mc*m/r
^{2}*(v^{2}/c^{2}) + - G*Mc*m/r
^{2}*(a*r/c^{2}) = - G*Mc*m/r
^{2}*(1+(1/c^{2}*(v^{2}+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.

We need the difference between a certain point and the radius or perimeter of the Cosmos

rd = ru - ru*fr = ru*(1-fr) = c*age*(1-fr)

**(2) G*Mc*m/r ^{2}*(v^{2}/c^{2}) =**

c^{3}*age *m/r^{2} *(v^{2}/c^{2}) =

m *c*age *v^{2}/r^{2} =

m *c*age *vd^{2}/rd^{2}m *c*age *c^{2}*(1-fr)^{2}/(c^{2}*age^{2}*(1-fr)^{2}))

m *c/age

The velocity dependent inertial inductance acceleration, at every location for both radial and tangent accelerations, is always

**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.

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

**Acceleration dependent inertial inductance = inertia:
(3) G *Mc *m /r ^{2} *(a*r/c^{2}) =
G *Mc /r *m*a /c^{2} =
c^{3}*age /(c*age) *m*a /c^{2} =
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 *v ^{2} *r /(c*age) = m*r^{2} *angular acceleration
v^{2} *r /(c*age) = r^{2} *angular acceleration
v^{2} = r^{2} *angular acceleration
angular acceleration = c^{2}/(c^{2}*age^{2}) = 1/age^{2}**

This is the rate that cosmos slows in its rotation.

**Angular acceleration from torque /moment of inertia:**

Mc*c

m *vt

Mc *c

**Torque from moment of inertia * angular acceleration:**moment of inertia *angular acceleration = torque

m *r

Mc *c

As the moment of inertia increases with age