# Is a blinking pole moving through a barn at relativistic speeds striped?

I am working on a hypothetical to better demonstrate length contraction and I want to verify that the hypothetical is correct.

Let's start with the classic pole-through-the-barn scenario. We have a barn that is slightly longer than 0.8667 light-seconds. We also have a 1 light-second long pole that is moving at 0.5C relative to the barn.

From the pole's frame of reference, the 'front door' and the 'back door' of the barn must be open at the same time in order for the pole to pass through it, since the pole is longer than the barn.

From the barn's frame of reference, however, the pole is contracted by alpha=0.866 and therefore small enough to be enclosed in the barn. Therefore, from the barn's frame both the front and back doors of the barn can be closed for an instant while the pole fits inside the barn.

I want to show that the reason the pole is contracted from the barn's reference frame is the barn's reference frame sees the different parts of the pole at different times (or moments). In particular, the barn's reference frame sees the end of the pole at an earlier time that the front of the pole. The other parts of the pole fall in between those two times/moments.

So, I am adding the idea that the pole is going through a series of color changes. That is, the pole is running through a sequence of four different colors every second. This is happening in the pole's reference frame.

EDIT: The color of the entire pole is changing all at once in the reference frame of the pole. The pole is not striped in the pole's reference frame, but changing color entirely.

I am interesting in what the barn's reference frame 'sees'. I believe it will see a striped pole, in that a series of observers in the barn's reference frame will claim the pole is a different color.

I would also like to ignore doppler, as is the case in almost every special relatively example ever discussed.

In this thought experiment, I believe the barn's frame would see the pole as being striped - comprised of the four colors at any given time. Additionally, the colors would be moving across the pole in kind of a barber-shop fashion. This is because the two ends of the pole would be at a different times/moments in the barn's reference frame and this would correspond to the ends of the pole being different colors than the front or middle.

I think this really helps give a better understanding of what is happening during length contraction and the difference in the perspective of the two frames of reference.

Is there anything wrong with this example that I need to be concerned about? Is there anyway you can think to improve it?

Thanks.

• I don't get it. You propose a model where the pole is striped and you wonder if it is striped? Commented Mar 15, 2023 at 20:30
• "seen" and "observed" are different things. When you start talking about how the object looks, then the time it takes for light to go from the pole to an observer matters. That can add confusion. Commented Mar 15, 2023 at 20:32
• I suggest you set up spacelike separated clocks synchronized conventionally in the pole frame, since that's what your color changing pole is made of.
– g s
Commented Mar 15, 2023 at 20:41
• Is the observer at a fixed locus or does their point of view somehow follow parallel with the pole - else Doppler shift. Commented Mar 15, 2023 at 20:41