Velocity is the frequency of unit displacement.
Within the very general concept of steady states, velocity is
internally a co-concept of inertia and both indicate constant states
within the temporal boundary of such a steady state.
To arbitrate a unit of measure for velocity, a unit of length and a
unit of time constitute the quantities being related. Although it seems
so to be correct it is not. velocity is the frequency of displacement.
Here we consider every motion to be a wave, where the wavelength is the
unit length and the rate is a frequency per unit time. Then velocity as
a physical expression must have the essence of "How frequently would a
moving entity traverse a unit wavelength".
We all know that one meter is an arbitrated unit of length, but we also
know that if we choose a high resolution unit then the figure of
significance and accuracy must increase.
By adopting the highest natural frequency wave as the foundation of the
metric, then both of length and time would gain the merits of
significance and accuracy while measuring coarser quantities.
Relativity came with a two opposing effects.
1- It spoiled the arbitrations.
2- It opened our eyes to possible deformations of the metric relative
By postulating that the velocity of light in vacuum is constant to all
inertial frames of reference, should then be obviously equivalent to
postulating that the frequency of unit-wavelength-displacement in
vacuum is constant in all inertial frames of reference. If such a
postulate was consistent with nature, then by observing frequency
shifts we must conclude that the relation between the source and the
observer may not be inertial. While if there was some way to be
absolutely sure that the relative frames of reference were inertial,
then we must conclude that the postulate was not consistent with
nature. We may also conclude that the velocity of light is practically
a variant that depends on the relative velocity of the source and the
observer expressed as a change in the frequency and not the wavelength.
However, by assuming that the frequency and the wavelength of light in
vacuum are covariants they may compensate and yield a constant ratio
In other words, the covariance of time and length scales in relativity
is an artefact of holding tight to the second postulate of SR. Then we
came to forget that our strategy was to model a system with which we
can pin down a metric of length and a metric of time that is constant
across coordinate systems, which is obviously what relativity failed to
accomplish. By losing confidence in the length of a meter and the time
interval of a second then what do we mean by meters per second! They do
not mean anything under the context of relativity as it is understood
If the circumference of the tire in a car was one meter long and the
car was moving such that the tires complete 10 cycles per second then
the velocity of the car is 10m/s on the road; because velocity is the
frequency of a unit displacement. Now let an observer be on a train
moving at any arbitrary velocity but has the knowledge of the metrics
of the car, then the velocity of the car relative to the road as
observed by the train rider shall never change at any relativistic
concepts. If we assume that the train was moving with a velocity of
20m/s relative to the railway and in the same direction of the car,
which moves on a road parallel to the railway, then the train must be
10m/s faster than the car.
This Galilean relation of velocities is not wrong, because it is
founded on local measurements made in each frame then realising that
the railway and the road are the same ground frame from which an
observer determines that the care's velocity is 10m/s and that the
train's velocity is 20m/s.
The care as a moving frame would must relate to the train through the
common ground to be 10m/s faster, such that if the car was stationary
then that would be the speed of the train. Consequently, the train
rider would think that the car was moving backwards at a speed of
So what did relativity of SR and GR came to add to common sense!
It is a relativity of remote observation mediated by light, in which
the postulated constancy of the speed of that light is critical to the
theory. Then if we neglect remote observation, the Galilean
transformation must stand correct 100%. This is what every engineer
applies in every day life work.
Then who needs the relativity of Light!
Astronomers and fast particle physicists do need relativity for the
Such professions may not apply material yardsticks and clocks between
the observer and the being observed, hence it was inevitable to invent
a system that takes into consideration the apparent effects of light
speed in mediating the information.
Apparent effects means that nothing concluded by relativity can be real
at a level of empiricism.
Such a mental work is like a signal, which is vulnerable to noise and
Therefore, time dilation and length contraction are not permanent
physical changes but visual deformations of remote information mediated
Kind regards to all.