IEVref:113-07-18ID:
Language:enStatus: Standard
Term: squared four-magnitude
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Definition: squared four-scalar product of a four-vector with itself

Note 1 to entry: The squared four-magnitude S 2 ( x _ _ , x _ _ )= x _ _ x _ _ = μν g μν x μ x ν MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4uamaaCaaaleqaba GaaGOmaaaakiaacIcadaadbaqaaiaadIhaaaGaaiilamaameaabaGa amiEaaaacaGGPaGaeyypa0ZaaWqaaeaacaWG4baaaiabgwSixpaame aabaGaamiEaaaacqGH9aqpdaaeqaqaaiaadEgadaahaaWcbeqaaiaa eY7acaaH9oaaaOGaamiEamaaBaaaleaacaaH8oaabeaakiaadIhada WgaaWcbaGaaqyVdaqabaaabaGaaqiVdiaae27aaeqaniabggHiLdaa aa@4D00@ is the generalization of the squared magnitude of a three-dimensional vector. The scalar S 2 ( x _ _ , x _ _ ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4uamaaCaaaleqaba GaaGOmaaaakiaacIcadaadbaqaaiaadIhaaaGaaiilamaameaabaGa amiEaaaacaGGPaaaaa@3996@ can be positive, zero, or negative; it can be zero even in the case when x _ _ 0 _ _ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGabaqaamaaceGaaiGacaabaaGcbaWaaWqaaeaacaWG4baaai abgcMi5kqaicdagaqhgaqhaaaa@36DC@ .


Publication date:2022-06
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