3 5 0 D O C . 3 6 8 O N U N I F I E D F I E L D T H E O R Y (3) (4) where and are abbreviations for the expressions in brackets. These two Furthermore, one obtains by Owing to (2), these two expressions are related to the quantities introduced in (1) by the identity In addition, by applying (5 1.c) to the purely antisymmetric quantities introduced in (1) (whose vanishing is nat- urally not yet presupposed here), one obtains the identity . …, (5) which is constructed analogously to (4). The tensor densities G, H and F are, owing to (2), related by the identity (6) I then recall the tensor density and the identity that holds for it (cf. (3b) 1.c), (2) Along with V, we now introduce the generalization of this quantity (3) where presents an arbitrary, constant number. This quantity fulfills—as can be verified by twofold application of the divergence-commutation relation (5) 1.c— the two identities (4) (5) or, if one abbreviates the two expressions in brackets as and , (4a) (5a) In general, we use a dash above the symbol to indicate that the corresponding expression was formed using instead of . Making the transition to , which is carried out at the end of the calculations, can then be accom- plished by simply leaving off the dashes. If we now introduce the quantities (or ) defined in (1), which are of course initially not presumed to vanish, one can convince oneself by direct calculation that the identity , (6) holds, where is defined by (1).[6] V / V    / G /  0 = V / 1 2 V    / H /  0 = G H S  S  S / 1 2 S    / F /  0 = G H + F 0 [p. 3] V  V / 0 V V    – V  W  = = V/ 1 2 V / H / 0 = V/ V/ V// 0 H G H / 0 G /  V// 0 V V  0 = S  S G H 1 2 --S  0 S introduced (whose instead se presumed
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