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时空可变系多线矢物理学的创建、作用与发展(15)在[不变基矢系A]观测
(接(14))
在[不变基矢系A]观测[可变基矢系X]、[不变基矢系A]间牵引位置1-线矢:
[牵引位置1-线矢l(XA)] =[牵引位置1-线矢l(A)] =l(XA)[单位矢A]
=l(A) [单位矢l(A)]=[l(A,a)[基矢A(a),a=0到3求和],
l(XA) =l(A) =[l(A,a)^2, a=0到3求和] ^(1/2), l(A,0)=ict(A),
[单位矢l(A)]的各方向余弦为:l(A,a)/ l(A), a=0, 1, 2, 3,
[矢A(X)] =[A(X,x)[[基矢X(x)],x=0到3求和]
=[矢A(A)]=[A(A,a)[[基矢A(a)],a=0到3求和],
A(X,x) =[C(XA,xa)A(A,a), a=0到3求和], x=0,1,2,3,
A(A,a) =[C(AX, ax)A(X,x), x=0到3求和], a=0,1,2,3,
位置1-线矢[矢r(X)] =[r(X,x)[[基矢X(x)],x=0到3求和]
=[矢r(A)] =[r(A,a)[[基矢A(a)],a=0到3求和],
r(X,x) =[C(XA,xa)r(A,a), a=0到3求和], x=0,1,2,3,
r(A,a) =[C(AX, ax)r(X,x), x=0到3求和], a=0,1,2,3,
r(X,0) = i ct(X), r(A,0) = i ct(A) , i=(-1)^(1/2),
(未完待续)
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