The mathematical expression:
$$x^2-(ct)^2=(x')^2-(ct')^2=0$$
is not a consequence of the universality of the speed of light.
So the result is the following expression:
$$x^2-(ct)^2=(x'-vt')^2-(ct')^2=0$$
Look at the following animation to see this:
You should see that the transit time of red spots are different in different directions, despite the fact that the rate of red spots is equal(same) in both directions. The first expression allege that these times are identical.
Let solve one a school's puzzle:
1. Two travelers do walking on the road with equal speed ($$v$$) in one direction at a distance ($$L$$) from each other.
2. Between them runs a dog (speed of it $$c$$).
QUESTION: How much time a dog runs forward, and how many - back?
ANSWER: $$T_1=L/(c+v)$$ and $$T_2=L/(c-v)$$
But Einstein, Lorentz, Minkowski and others (who entrust to them) say that time will be the same. So is was alleged by the first expression.
$$x^2-(ct)^2=(x')^2-(ct')^2=0$$
is not a consequence of the universality of the speed of light.
So the result is the following expression:
$$x^2-(ct)^2=(x'-vt')^2-(ct')^2=0$$
Look at the following animation to see this:
You should see that the transit time of red spots are different in different directions, despite the fact that the rate of red spots is equal(same) in both directions. The first expression allege that these times are identical.
Let solve one a school's puzzle:
1. Two travelers do walking on the road with equal speed ($$v$$) in one direction at a distance ($$L$$) from each other.
2. Between them runs a dog (speed of it $$c$$).
QUESTION: How much time a dog runs forward, and how many - back?
ANSWER: $$T_1=L/(c+v)$$ and $$T_2=L/(c-v)$$
But Einstein, Lorentz, Minkowski and others (who entrust to them) say that time will be the same. So is was alleged by the first expression.