I Rotation and Boost of Tensor Components: Meaning?

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The discussion centers on whether the components of tensors, particularly those of higher rank, can be described as being rotated or boosted when transitioning between coordinate systems. While it is standard to refer to vectors as being rotated or boosted, the application to general tensors is less clear due to their lack of a single direction. The conversation highlights that a rotation is a mathematical concept, while a boost carries physical significance, particularly in a Lorentz invariant context. The participants express uncertainty about the terminology used for higher-rank tensors compared to vectors. Ultimately, the distinction in how these transformations are described remains a point of contention.
kent davidge
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If two coordinate systems are related by a rotation or a boost, does it make sense to say the tensors components are rotated or boosted with respect to their components in the original coordinates? For vectors, I think it is standard to say that, but what about general tensors?
 
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A tensor could be also a vector.One call it a one tensor.A rotation is only a mathematical construction.Of course, a boost is also a rotation but with a physical meaning involved .Here you make a rotation in a Lorentz invariant manner.So the (relativistic)physics holds under this specific transformation.In this case you rotate you Frame Of Reference by an angle theta .
 
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troglodyte said:
A tensor could be also a vector
I know that
troglodyte said:
One call it a one tensor.A rotation is only a mathematical construction.Of course, a boost is also a rotation but with a physical meaning involved .Here you make a rotation in a Lorentz invariant manner.So the (relativistic)physics holds under this specific transformation.In this case you rotate you Frame Of Reference by an angle theta .
I also know that

Your didn't answer my question at all.
 
kent davidge said:
For vectors, I think it is standard to say that

I'm not sure it is. It's standard to say that vectors are rotated or boosted, but I'm not sure it's standard to say that vector components are.

kent davidge said:
what about general tensors?

Tensors of higher rank than 1 do not have a single "direction", so speaking of them as rotated or boosted by a coordinate transformation would not seem to make as much intuitive sense as the corresponding statement for a vector, which does have a single direction.
 
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kent davidge said:
Your didn't answer my question at all.
Sorry,than i have misinterpreted your question a bit.
 
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