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EXPLANATION. About
the model of the rail and the little wagons according to Newton's law of
mechanics. The
presented solution of the animation of the little wagons seems intuitively
correct. However an analysis according to Newton's laws shows it is wrong,
which enhances the didactic value of the model considerably. Then
applying Newton's law to the model, by firstly to assume no friction or
dissipative energy losses, such as air friction or rolling resistance,
allows us to apply the conservation laws for momentum and energy on the
system of the rail and wagons. Consequently apply the law of action to
reaction between the teeth of the rail and the pendulum of the wagon. The
impact of the force pulse from a rail tooth to the catch is not considered
in detail, but one has to make some assumptions about the vibrating rails
ea. the rail teeth are infinitely strong, the rail is absolutely stiff and
the overall mass is much greater than that of a wagon. In
this case Newton's laws demand that whatever the mass (inertia) of the
wagons, as long as it is smaller than that of the rail system, the wagon
reaches the maximum velocity of a rail tooth in one cycle of the
vibration. So the wagon travels along the track with a synchronous
constant speed in relation to the pendulum movement of the catch and this
is independent of the mass of the wagon. (see forum discussion: search
engine under train for further discussion) Implicitly one assumed no
reduction gear box between the wheels and the catch exits. (one to one
gear ratio) The
outcome is astonishing, but it exactly demonstrates the point, whatever
the inertia (rest mass) of the atoms or electrons, the speed of time of
the cosmic field for each of the species of particles is the same. The
confusing issue seems to be that all the other teeth along the rail track
are not contributing very much during the lossless progress of the wagons.
Of course air friction will be of some aid, but this condition cannot be
applied to the inherent existence of the cosmic field and its perpetual
atoms. However, then think what will happen if one changes the slope of
the rail track, so it is not horizontal any longer. Then the teeth along
the rail have a function of a brake (downward slope) or pulling action
(upward slope). Then again the wagons experience the same force of gravity
independent of their weight (mass). Since matter and anti-matter
experience the force of gravity in the same way, both the rails (time and
anti-time) should be facing upwards or downwards depending on the
direction of the force of gravity. In
empty space the cosmic field seems to be freewheeling to the atoms, but in
the environment of gravity they experience the force action of the cosmic
field, also called sometimes carrier field. Since 2004 it is known that
empty space has accelerated expansion. The free wheeling of the atoms
cannot be any longer. The atoms are accelerated along their rail
tracks. The rest mass does not change during the acceleration. So the
width of the teeth on the rail does not change. See under
order/achievements. Note;
if the rail is not strong and stiff and elasticity plays a role, above
result should be the same in the end, but for heavy loaded wagons it takes
a while before the end velocity is reached and all kinds of relaxation
effects should be considered. Comment:
The model of the two wagons and rail was given by Stephan Denaerde.
Evidently, the intuitive solution was suggested in his books. After thirty
years the true didactic value of this little model is revealed.
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