On 2/27/2019 4:58 PM, [email protected] wrote:
*Are you assuming uniqueness to tensors; that only tensors can produce covariance in 4-space? Is that established or a mathematical speculation? TIA, AG *
That's looking at it the wrong way around. Anything that transforms as an object in space, must be representable by tensors. The informal definition of a tensor is something that transforms like an object, i.e. in three space it's something that has a location and an orientation and three extensions. Something that doesn't transform as a tensor under coordinate system changes is something that depends on the arbitrary choice of coordinate system and so cannot be a fundamental physical object.
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