Note 1 to entry: The position four-vector denotes an event in space-time.
Note 2 to entry: The squared four-magnitude of a position four-vector
x__ :=(x0,x1,x2,x3)=(jc0t,x,y,z) is S2(x__,x__)=−c20t2+x2+y2+z2
Note 3 to entry: The coherent SI unit of the position four-vector is metre, m.
x _ _ :=( x 0 , x 1 , x 2 , x 3 )=(j c 0 t,x,y,z) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaWqaaeaacaWG4baaai aaysW7cGaGGkOoaiabg2da9iaacIcacaWG4bWaaSbaaSqaaiaaicda aeqaaOGaaiilaiaadIhadaWgaaWcbaGaaGymaaqabaGccaGGSaGaam iEamaaBaaaleaacaaIYaaabeaakiaacYcacaWG4bWaaSbaaSqaaiaa iodaaeqaaOGaaiykaiabg2da9iaacIcacaqGQbGaam4yamaaBaaale aacaaIWaaabeaakiaadshacaGGSaGaamiEaiaacYcacaWG5bGaaiil aiaadQhacaGGPaaaaa@4F77@ is S 2 ( x _ _ , x _ _ )=− c 0 2 t 2 + x 2 + y 2 + z 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4uamaaCaaaleqaba GaaGOmaaaakiaacIcadaadbaqaaiaadIhaaaGaaiilamaameaabaGa amiEaaaacaGGPaGaeyypa0JaeyOeI0Iaam4yamaaDaaaleaacaaIWa aabaGaaGOmaaaakiaadshadaahaaWcbeqaaiaaikdaaaGccqGHRaWk caWG4bWaaWbaaSqabeaacaaIYaaaaOGaey4kaSIaamyEamaaCaaale qabaGaaGOmaaaakiabgUcaRiaadQhadaahaaWcbeqaaiaaikdaaaaa aa@4879@