Understanding the Meaning of \oplus in Special Relativity

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The symbol \oplus in special relativity represents a specific method of adding velocities, distinct from simple arithmetic addition. It indicates the addition of relative velocities rather than the straightforward sum, which is why u' \oplus v does not equal u' + v. This notation is often used to avoid confusion with traditional addition and is a shorthand for the relativistic velocity addition formula. The use of \oplus may arise from a lack of available symbols in mathematical notation. Understanding this distinction is crucial for correctly interpreting equations in the context of special relativity.
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\oplus what does this symbol mean. I was confused in special relativity when notes say u' \oplus v \neq u' + v.
 
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Hi Lizwi! :smile:
Lizwi said:
\oplus what does this symbol mean. I was confused in special relativity when notes say u' \oplus v \neq u' + v.

What is the context?

Sometimes mathematicians run out of symbols, and recycle a symbol they think nobody wants! :biggrin:

My guess is that this is the addition of relative-velocities formula, and that this author is simply using it as a shorthand for that form of addition.

(in other words: it's his symbol for multiplication in the group of relative-velocities)
 

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