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[QUE/EPP-01012]

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A four vector \((A^0, \vec{A})\) is called

  1. time like if \(|A^0| > |\vec{A}|\);
  2. space like if \(|\vec{A}| > |A^0| \);
  3. light like if \(|\vec{A}| = |A^0| \).

Give an argument to show that the property of being time like, space like, or
light like does not depend on the choice of the Lorentz frame.

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