Errors in Einstein's Reasoning (6)
The theory of time should be independent of any specific synchronization mechanism.
The following fictitious story is to convey this idea.
Suppose on a far away planet, where light from stars never penetrates,
there lives a high intelligent life form.
As sound is the fastest way of communication for them,
the sound is used to synchronize their clocks.
And by pure good luck,
they get the same formula of special relativity.
But in their formula,
the speed of light was replaced by the speed of sound.
If some day in the future we meet them, how do we tell them that they are wrong?
Can we say we are right because we are using a much bigger number in our formula?
So, in theory, the concept of time is not affected by sound or light.
Although light is really fast, it still causes some delay.
If the traditional concept of time is used by both us and the aliens,
we will never get into this argument.
For clock synchronization, the aliens can still use sound and we can still use light.
If any higher accuracy is needed, just take the time delay into consideration.
From a pure technical point of view, the uncertainty in the postulate about light can be
fully covered by the following two cases:
- In the first case,
light is a normal wave and follows the rule of relative motion.
Here the incompatibility issue talked about by Einstein does not exist,
so Special Relativity becomes unnecessary.
- In the second case,
light is a special wave and does not follow the rule of relative motion.
As c+v and c-v are from Galilean velocity addition rule,
which works only for objects that obey the rule of relative motion,
the first step in Einstein's paper has no physical meaning.
As a result, Special Relativity loses its mathematical base.