On Thursday, January 9, 2025 at 5:33:47 AM UTC-7 Quentin Anciaux wrote:
AG, your question is just another attempt to misrepresent the role of simultaneity and derail the discussion. Let’s cut through the nonsense and address this directly. The car fitting in two different garages of different lengths depends on relative lengths and simultaneity. Simultaneity doesn’t somehow override length contraction—it works in tandem with it to determine whether the car fits in a specific frame. Here’s how it works: 1. Garage1 where the car fits: In the frame of Garage1, simultaneity determines that, at a specific moment, the back of the car passes the entrance while the front is within the exit. This conclusion is consistent with the car’s length being shorter than or equal to the length of Garage1 in this frame due to length contraction. 2. Garage2 where the car doesn’t fit: In the frame of Garage2, the same principles apply. If the car is longer than Garage2’s length (as measured in the frame of Garage2), simultaneity will show that there is no single moment when the back of the car is inside while the front is also inside. The relative lengths determine whether fitting is possible, but simultaneity is what determines when and how you compare the endpoints. So, to answer your question: the car doesn’t fail to fit in Garage2 because of simultaneity alone. The disagreement about simultaneity simply explains why the two frames (the car frame and the garage frame) reach different conclusions. Simultaneity is critical because it defines how you compare events in spacetime. Without it, "fitting" would be an undefined concept. Once again, your attempt to isolate simultaneity as some kind of side issue misses the mark entirely. Relative lengths are part of the setup, but simultaneity is what resolves the paradox. Ignoring this just shows that you still don’t understand—or don’t want to understand—how special relativity works. Your question doesn’t prove simultaneity is irrelevant; it just shows your commitment to trolling. *Forget my last question. I meant to ask about a situation where the car fits in both frames due to choice of initial parameters, and I was wondering if simultaneity continues to disagree and what will be the situation in the second frame where it previously fit. AG * -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/everything-list/148ecc97-6638-4c28-99d3-af22d6a1cb7an%40googlegroups.com.
