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- Thread starter kent davidge
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In other words, you don't relate frames to frames, you relate objects to frames.

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Nugatory

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There will be a coordinate transformation between the coordinates used in one frame and the coordinates used in the other. That transformation completely specifies the relationship between the frames.

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strangerep

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... unless one (or both) frames are nonholonomic.There will be a coordinate transformation between the coordinates used in one frame and the coordinates used in the other. That transformation completely specifies the relationship between the frames.

@kent davidge : Your question could be answered more helpfully if you gave a specific example of 2 such frames.

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[Mentors' note: This post was edited to avoid an unnecessary flame war]

What if the coordinate transform is masked? For example, what if the two frames are simply two inertial frames connected by a Lorentz transformation, but they were written in a weird fashion. I suspect there should exist a coordinate independent way of actually finding this out.There will be a coordinate transformation between the coordinates used in one frame and the coordinates used in the other. That transformation completely specifies the relationship between the frames.

I don't know, I was just thinking about this, I have no explicit case in mind.@kent davidge : Your question could be answered more helpfully if you gave a specific example of 2 such frames.

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Nugatory

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A frame is a convention for assigning coordinates to events. I'm finding it difficult to imagine how any relationship between two such conventions could be related in a coordinate-independent way.What if the coordinate transform is masked? For example, what if the two frames are simply two inertial frames connected by a Lorentz transformation, but they were written in a weird fashion. I suspect there should exist a coordinate independent way of actually finding this out.

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What does this mean?What if the coordinate transform is masked?

A Lorentz transformation is a coordinate transformation between inertial coordinates. If the coordinates are "written in a weird fashion" you can't use a Lorentz transformation anyway.what if the two frames are simply two inertial frames connected by a Lorentz transformation, but they were written in a weird fashion

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Then I think you need to think harder and come up with a specific example. At this point I don't understand what you mean by "how two frames are connected", and having a specific example of two frames and you describing what connection you are talking about would help a lot.I was just thinking about this, I have no explicit case in mind.

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But sometimes a frame is used as another name for a coordinate system.

"Connections" are also used for Christoffel symbols, which can be regarded as the map from a set of basis vectors at the tangent space of one point in a manifold to the set of basis vectors in the tangent space of a different, nearby, point in the manifold.

So a bit more explanation of what you're looking for exactly would be really helpful.

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