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Area Physics for electrotechnology / Relativistic physics for electrotechnology

IEV ref 113-07-28

Symbol
s AB 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4CamaaDaaaleaada WgaaadbaGaaeyqaiaabkeaaeqaaaWcbaGaaGOmaaaaaaa@3748@

en
squared space-time distance
DEPRECATED: squared space-time interval
squared four-magnitude of a displacement four-vector

Note 1 to entry: For events A, B, with position four-vectors { j c 0 t A , x A , y A , z A } MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaiWaaeaacaWGQbGaam 4yamaaBaaaleaacaaIWaaabeaakiaadshadaWgaaWcbaGaaeyqaaqa baGccaGGSaGaamiEamaaBaaaleaacaqGbbaabeaakiaacYcacaWG5b WaaSbaaSqaaiaabgeaaeqaaOGaaiilaiaadQhadaWgaaWcbaGaaeyq aaqabaaakiaawUhacaGL9baaaaa@4289@ and { j c 0 t B , x B , y B , z B } MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaiWaaeaacaWGQbGaam 4yamaaBaaaleaacaaIWaaabeaakiaadshadaWgaaWcbaGaaeOqaaqa baGccaGGSaGaamiEamaaBaaaleaacaqGcbaabeaakiaacYcacaWG5b WaaSbaaSqaaiaabkeaaeqaaOGaaiilaiaadQhadaWgaaWcbaGaaeOq aaqabaaakiaawUhacaGL9baaaaa@428D@ respectively, squared space-time distance is s AB 2 = c 0 2 ( t B t A ) 2 + ( x B x A ) 2 + ( y B y A ) 2 + ( z B z A ) 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4CamaaDaaaleaada WgaaadbaGaaeyqaiaabkeaaeqaaaWcbaGaaGOmaaaakiabg2da9iab gkHiTiaadogadaqhaaWcbaGaaGimaaqaaiaaikdaaaGccaGGOaGaam iDamaaBaaaleaacaqGcbaabeaakiabgkHiTiaadshadaWgaaWcbaGa aeyqaaqabaGccaGGPaWaaWbaaSqabeaacaaIYaaaaOGaey4kaSIaai ikaiaadIhadaWgaaWcbaGaaeOqaaqabaGccqGHsislcaWG4bWaaSba aSqaaiaabgeaaeqaaOGaaiykamaaCaaaleqabaGaaGOmaaaakiabgU caRiaacIcacaWG5bWaaSbaaSqaaiaabkeaaeqaaOGaeyOeI0IaamyE amaaBaaaleaacaqGbbaabeaakiaacMcadaahaaWcbeqaaiaaikdaaa GccqGHRaWkcaGGOaGaamOEamaaBaaaleaacaqGcbaabeaakiabgkHi TiaadQhadaWgaaWcbaGaaeyqaaqabaGccaGGPaWaaWbaaSqabeaaca aIYaaaaaaa@5B14@ .

Note 2 to entry: The coherent SI unit of squared space-time distance is metre squared, m 2 .


fr
distance d’espace-temps au carré, f
norme au carré d'un quadrivecteur déplacement

Note 1 à l’article: Pour les événements A, B, avec respectivement les quadrivecteurs position { j c 0 t A , x A , y A , z A } MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaiWaaeaacaWGQbGaam 4yamaaBaaaleaacaaIWaaabeaakiaadshadaWgaaWcbaGaaeyqaaqa baGccaGGSaGaamiEamaaBaaaleaacaqGbbaabeaakiaacYcacaWG5b WaaSbaaSqaaiaabgeaaeqaaOGaaiilaiaadQhadaWgaaWcbaGaaeyq aaqabaaakiaawUhacaGL9baaaaa@4289@ et { j c 0 t B , x B , y B , z B } MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaWaaiWaaeaacaWGQbGaam 4yamaaBaaaleaacaaIWaaabeaakiaadshadaWgaaWcbaGaaeOqaaqa baGccaGGSaGaamiEamaaBaaaleaacaqGcbaabeaakiaacYcacaWG5b WaaSbaaSqaaiaabkeaaeqaaOGaaiilaiaadQhadaWgaaWcbaGaaeOq aaqabaaakiaawUhacaGL9baaaaa@428D@ , la distance d’espace-temps au carré est s AB 2 = c 0 2 ( t B t A ) 2 + ( x B x A ) 2 + ( y B y A ) 2 + ( z B z A ) 2 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaaiGaciGacmaaceGaaiGacaabaaGcbaGaam4CamaaDaaaleaada WgaaadbaGaaeyqaiaabkeaaeqaaaWcbaGaaGOmaaaakiabg2da9iab gkHiTiaadogadaqhaaWcbaGaaGimaaqaaiaaikdaaaGccaGGOaGaam iDamaaBaaaleaacaqGcbaabeaakiabgkHiTiaadshadaWgaaWcbaGa aeyqaaqabaGccaGGPaWaaWbaaSqabeaacaaIYaaaaOGaey4kaSIaai ikaiaadIhadaWgaaWcbaGaaeOqaaqabaGccqGHsislcaWG4bWaaSba aSqaaiaabgeaaeqaaOGaaiykamaaCaaaleqabaGaaGOmaaaakiabgU caRiaacIcacaWG5bWaaSbaaSqaaiaabkeaaeqaaOGaeyOeI0IaamyE amaaBaaaleaacaqGbbaabeaakiaacMcadaahaaWcbeqaaiaaikdaaa GccqGHRaWkcaGGOaGaamOEamaaBaaaleaacaqGcbaabeaakiabgkHi TiaadQhadaWgaaWcbaGaaeyqaaqabaGccaGGPaWaaWbaaSqabeaaca aIYaaaaaaa@5B14@ .

Note 2 à l’article: L’unité SI cohérente de la distance d’espace-temps au carré est le mètre carré, m 2 .


Publication date: 2022-06
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