On The Non Relativity Of Simultaneity

[Hurkyl]

Stipulation 3: All four clocks are synchronized at the beginning of the event, in other words they all read the same number, for simplicity let all four clocks read zero at the beginning of the event.

In which reference frame are you making this stipulation?

 

[mathfeel]

To me, this is not a paradox at all. If you consider the Lorentz invariant for the events A/A' coincide and B/B' coincide in either frame, it turns out to be
$$ds^2=-L_0^2 \frac{1}{\beta}(1-\sqrt{1-\beta^2}) + L_0^2$$

One can simply prove (just plot it) that $$\frac{1}{\beta}(1-\sqrt{1-\beta^2})$$ is less than 1 for $$0\leq\beta\leq1$$
So the interval is spacelike. So there is no causal relation between the two events. So it is perfectly legitimate to have the order of two events reversed in two different frame.

 

[pallidin]

A horizontal hard, wooden dowel, of 1-foot length is placed against a vertical platform; this portends non-compressabilty.
Underneath, attached to that same platform, is a spring with a weight on the end and a minor support dowel, total mass equaling that of the upper dowel; this portends compressability.
Force is applied to the platform, in this case, left to right.
The upper dowel will move left to right at the velocity of platform movement.
The lower arrangement will be compressed and so delayed, yet building potential energy will spring forward, balancing all forces involved.
So, what's your point?