User:Tom Allen/ta/AddendumX06P02

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... the contractions of the tensor R ...

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NB. ... execute (ijx) ...

   pU0=:,:@(1.5 1.1 2 8 1 1 2 2 0.5"_)

   xCpts=:_ 0.7 1.3 51,_ 0.4p1 0.6p1 51,_ 0 2p1 51,:_ 0 2p1 51"_


NB. ... the divergence of space and time in a gravitational field ...

NB. ... '+' matter ...

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])         @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 3)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
_16.135 132.839 0.803023 5.1239

NB. ... '-' matter (antimatter) ...

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])         @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 2)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
16.135 _132.839 _0.803023 _5.1239


NB. ... the divergence of space and time in an electromagnetic field ('new physics') ...

NB. ... '+' charge ...

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 2)|:])         @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
_14.9749 _0.0971335 0.239952 0.209698

NB. ... '-' charge ...

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<1 2)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
14.9749 0.0971335 _0.239952 _0.209698


NB. ... contractions of R which are not used ...

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])         @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
0 0 0 0

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
0 0 0 0

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 3)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
_16.135 132.839 0.803023 5.1239

   ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 2)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
16.135 _132.839 _0.803023 _5.1239

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... the gravitational field ...

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NB. ... execute (ijx) ...

NB. ... for this model (AddendumT03Z05) ...

   pU0=:,:@(1.5 1.1 2 8 1 1 2 2 0.5"_)

   xCpts=:_ 0.7 1.3 51,_ 0.4p1 0.6p1 51,_ 0 2p1 51,:_ 0 2p1 51"_

NB. ... the verb E1cn (contravariant) has been used for the divergence of space and time ...

   ((2^_44)qtsz])  (pU0([E1cn yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
_16.135 132.839 0.803023 5.1239

NB. ... given that ds is contravariant it is seen that E1cv (covariant) should be used ...
NB. ... (this has the effect of changing the sign of the divergence of time) ...

   ((2^_44)qtsz])  (pU0([E1cv yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)''
_16.135 132.839 0.803023 _5.1239

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