I always loved this experiment. The simplicity and yet the complex details involved. Your comment on the frame reminded me of my old physics textbook discussing vector fields. 'Is THIS a vector field? No, it's a picture of arrows."
Requires my further study to grasp this. I barely understand Lorenz transformations, this is top of the tree physics, but now we have the upload it can be revisited. Thank you Jason Kendall, very much.
You're welcome! Try this for an analogy. Two sets of people driving in cargo vans down the highway. Each cargo van is a mobile laboratory. The driver's job is just "to drive" while the experimenters in the back "do science". Imagine there's LOTS of such cargo vans on the highway and on the streets. And they're all working on similar "Science Problems". They also all have "I can see you glasses" that allow them to spy on each other, even through the walls of the cargo van. All of the "Science Problems" involve timing things and measuring positions and speeds of things. You want to steal or at least duplicate someone else's solution to the "Science Problem" of the day. But everyone is moving SO FAST that you start to see Special Relativistic Effects. If you're Team Rocket and you want to steal Team Galactic's methods, you look at their clocks and their meter sticks and you observe them to be "changed". In order to translate that change from their van to yours, you need to use the Lorentz Transformation. Think of it as a "filter" that allows you to "undo" the effects of the relative motion of a different van's Science Problem Measurements, so that you can read them as though you're in that van instead of yours. Notice that this analogy says that your van and their van are exactly the same when you're inside each van. But you ALWAYS meaure a different van to have REAL special relativistic effects according to your van's clocks. These effects are not "illusions" or "tricks". They are real things that happen because you cannot magically translate yourself into that moving van. You must measure the moving van always from your vantage point. And you will observe time dilation, length contraction, clock desynchronization, and you will disagree on the temporal ordering of events. In your van's frame of reference, all these things will be real, measureable effects.
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Watch the complete video here: th-cam.com/video/3zKxi1CQkt4/w-d-xo.html
I always loved this experiment. The simplicity and yet the complex details involved.
Your comment on the frame reminded me of my old physics textbook discussing vector fields. 'Is THIS a vector field? No, it's a picture of arrows."
Requires my further study to grasp this. I barely understand Lorenz transformations, this is top of the tree physics, but now we have the upload it can be revisited.
Thank you Jason Kendall, very much.
You're welcome! Try this for an analogy. Two sets of people driving in cargo vans down the highway. Each cargo van is a mobile laboratory. The driver's job is just "to drive" while the experimenters in the back "do science". Imagine there's LOTS of such cargo vans on the highway and on the streets. And they're all working on similar "Science Problems". They also all have "I can see you glasses" that allow them to spy on each other, even through the walls of the cargo van. All of the "Science Problems" involve timing things and measuring positions and speeds of things. You want to steal or at least duplicate someone else's solution to the "Science Problem" of the day. But everyone is moving SO FAST that you start to see Special Relativistic Effects. If you're Team Rocket and you want to steal Team Galactic's methods, you look at their clocks and their meter sticks and you observe them to be "changed". In order to translate that change from their van to yours, you need to use the Lorentz Transformation. Think of it as a "filter" that allows you to "undo" the effects of the relative motion of a different van's Science Problem Measurements, so that you can read them as though you're in that van instead of yours.
Notice that this analogy says that your van and their van are exactly the same when you're inside each van. But you ALWAYS meaure a different van to have REAL special relativistic effects according to your van's clocks. These effects are not "illusions" or "tricks". They are real things that happen because you cannot magically translate yourself into that moving van. You must measure the moving van always from your vantage point. And you will observe time dilation, length contraction, clock desynchronization, and you will disagree on the temporal ordering of events. In your van's frame of reference, all these things will be real, measureable effects.
Loved the Dire Straits joke.