Stamenin wrote:
THE INERTIAL FORCES AND THE LAW OF THE CONSRVATION OF THE
ENERGY

Speaking about the relations that exist between the first law of the
mechanics, the principle of the relativity, the Galilei's
transformation, and the behavior of the inertial forces and the
gravitational forces to act upon every atom of the matter, I had
omitted there to put in a first position the importance that has the
law of the conservation of the energy in these relations. Now I'd
like to remedy this omission.
The first law of the mechanics I could say is a consequence of the
law of the conservation of the energy and especially in this case of
the kinetic energy of the material bodies. So we can conclude that the
material bodies tend to keep their kinetic energy if there are not
acting upon them external forces.

Learn so basic mechanics before you spew crap all over the place. Tie a
stone to a rope and whirl it above your empty head uniformly. The KE of
the stone is constant. YET, there is a force acting on the stone, a
centripetal force. This force is what is called a "central force"
similar to the one acted upon earth by the Sun in Newtonian Mechanics.

To change this level of kinetic
energy is needed to act upon them an external force. Then the material
body,
respecting the law of the conservation of the kinetic energy opposes to
that action with the inertial force that is produced by the material
body. This phenomenon could be compared with the phenomenon of the
production of electrical current in a generator in a power station
producer of electrical energy. To the mechanical torque produced by the
turbine, the generator opposes a torque that is produced by the induced
electrical current in the generator. In this case we have a
transformation of the mechanical energy in electrical energy. In the
case of the inertial forces we have a change of the level of the
kinetic energy of the material body and this results as a change of the
speed of the material body accordingly to the known relation:
Ek=mv^2/2

KE is not always conserved. This is a notorious mistake dated back in
the 17th century until Bernulli showed that it is Mechanical Energy
that is conserved.


..
In such a way we can conclude that a material body posed far away in
a portion of the space where doesn't exist gravitational forces will
keep its state of staying or moving in a right line and with constant
speed. Of course the material body acts in this way taking in
consideration his previous state of motion, but minded people like
Newton imagined the absolute system of coordinates that describes
perfectly the behavior of the material body. Evidently we with this
interpretation of the first law of the mechanics doesn't change
anything in respect to the efforts done by scientists in the past,
trying to explain why the laws of the mechanics are valid and for a
coordinate system rigidly attached to the center of the earth.

Your misconceptions are very clear. The laws of mechanics are valid in
inertial reference frames. If you use a FoR attached to the center of
the earth you have to correct for Centrifugal and Coriolis motion.
Using the fixed stars does a little better.

[snip remaining gross misconception]

Mike