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创建时空可变系多线矢物理学(90)不可纳入n=4的4维时空正则运动方程的各多线矢
(接(89))
但对于哪些不能由赝1-线矢,或多个彼此禁闭地,组配成团的赝1-线矢表达的各类多线矢,就只能采用与其维数相应的4维时空正则运动方程, 例如:
当n=6, 4维时空电磁场强度2-线矢[矢A(X,6)]=[矢Dr(X,4)]叉乘[矢A(X,4)],[矢A*(X,6)]=[矢Dr(X,4)]叉乘[矢A*(X,4)],
其各分量模长分别记为:
A(X,6)ab=(DA)ab; A*(X,6)ab=(DA*)ab,下标ab=01,02,03,23,31,12,
相应的4维时空电流1-线矢是:
[矢J(X,4)]=-((c/(4派))[矢Dr(X,4)]点乘([矢Dr(X,4)]叉乘[矢A(X,4)])
=-(c/(4派)) [矢B*(X,4)],
[矢J*(X,4)]=-((c/(4派))[矢Dr(X,4)]点乘([矢Dr(X,4)]叉乘[矢A*(X,4)])
=-(c/(4派)) [矢B(X,4)],
其各分量模长分别记为:
J(X,4)a= -(c/(4派)) B*(X,4)a; J* (X,4)a= -(c/(4派)) B(X,4)a,
B*(X,4)a ={Wr(X,4)b(偏r(X)b)A(X,6)ab,b=0到3求和};
B(X,4)a ={Wr(X,4)b(偏r(X)b)A*(X,6)ab,b=0到3求和};下标a=0,1,2,3,
B*(X,4)0 ={Wr(X,4)b(偏r(X)b)A(X,6)0b,b=0到3求和};
B(X,4)0 ={Wr(X,4)b(偏r(X)b)A*(X,6)0b,b=0到3求和};
B*(X,4)j=-Wr(X,4)0(偏r(X)0)A(X,6)0j-Wr(X,4)l(偏r(X)0)A(X,6)lj
+Wr(X,4)k(偏r(X)0)A(X,6)jk;
B(X,4)j=-Wr(X,4)0(偏r(X)0)A*(X,6)0j-Wr(X,4)l(偏r(X)0)A*(X,6)lj
+Wr(X,4)k(偏r(X)0)A*(X,6)jk; 下标jkl=123循环,
有:
L=[矢B*(X,4)]点乘[矢B(X,4)]+[矢A*(X,6)]点乘[矢A(X,6)]
=(4