Hu, H. &Wu, M. Prespacetime-Premomentumenergy Model II: Genesis of Self-Referential Matrix Law & Mathematics of Ether
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1 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h c Hung Hu * & aon Wu BTRCT Th wok a connuaon of ac-onungy od dcbd cny. H w how how n h od ac-onungy gna: fou-onu and fou-oon aon a ancndna aw of On 2 ffna a aw wh fou-onu and fou-oon aon a h dnan and 3 aw of Zo n a dua unv cod of an na ac and an nna onu-ngy ac. W fuh how how ac-onungy ay gna uan and ak vovng nay ac and coo ac ncooang h gn of f-fna a aw. In addon w w dcu h onoogy and ahac of h n h od. Iuavy n h bgnnng h wa ac-onungy by f = aay y and bgan o agn hough oda f-fna n = = = - - = - - = - - / - - = / uch ha cad h f-fna a aw h na objc o b obvd and nna objc a obvd aad h no na ac and nna onu-ngy ac caud h o nac hough ad a aw and hu gav bh o h dua unv whch ha nc uand and ad o vov. Ky Wod: ac onungy nc of nc n hachy f-fnc h ahac onoogy a aw ancndna aw of On aw of Zo.. Inoducon Though a of u ac-onungy anf Th ac a connuaon of h Pnc of nc [-7] and h aconungy od [8]. hown n ou cn wok [8] and fuh hown h h nc and ahac bad on ac-onungy fo cang *Coondng auho: Hung Hu Ph.D. J.D. dd: QuanuDa Inc. P.O. Bo 267 ony Book NY 79 U. -a: hunghu@quanuban.og No: Th wok wa ubhd n Pac Jouna Novb 24 ou 5 Iu
2 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 2 uanng and akng vovng of nay ac n a dua unv cod of an na ac and an nna onu-ngy ac a baufu and. F h ac-onungy od oy h foowng onoogca nc aong oh: Pnc of onn/uny of nc hough quanu nangn n h h of ac-onungy. 2 Pnc of hachca oda f-fna n cang: - Fou-onu and fou-oon aon a ancndna aw of On. - Fou-onu and fou-oon aon a dnan of a aw. - aw of Zo of oa ha of na and nna wavfuncon objc. cond ac-onungy od oy h foowng ahaca n & fo aong oh n od o ow h abov onoogca nc: u Nub fo o ow h a foundaon/ba/du of nc body of ac-onungy; 2 agnay nub fo o ow hough and agnaon n ac-onungy h; 3 zo fo o ow n undffnad/oda a; 4 on fo o ow onn/uny of nc; * / = fo o ow caon dynac baanc & convaon; 6 Pyhagoan Tho fo o ow ngy onu and a aon and oon and nnc o aon; and 7 a fo o ow h na ac and nna onungy ac and h nacon of na and nna wavfuncon. Th wok oganzd a foow. In 2 w ha ua cnfc gn n a nuh whch ncooa h gn of f-fna a aw. In 3 w ha da h gn of f-fna a aw n h od of: Gn of fou-onu & fou-oon aon; 2 f-fna a aw and aoho; 3 Iagnay onu & agnay oon; 4 Ga fo dvng a aw; and 5 Hachca naua aw. In 4 w ha ncooa h gn of f-fna a aw no cnfc gn of oda n nay ac and cnfc gn of coo n. In 5 w ha how h ahac and onoogy of h n h ac-onungy od. Fnay n 6 w ha concud h wok.
3 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 3 2. cnfc Gn n Pac-onungy n a Nuh Pac-onungy od gna vyhng hough f-fna n n h bgnnng h wa ac-onungy by f = aay y and bgan o agn hough oda f-fna n = = = - = - - = - - / - - = / uch ha cad h f-fna a aw h na objc o b obvd and nna objc a obvd aad h no na ac and nna onu-ngy ac caud h o nac hough ad a aw and hu gav bh o h dua unvunv whch ha nc uand and ad o vov. W daw bow va daga uang h abov oc: Fgu 2. Iuaon of oda ha dncon n aconungy Th oda ha dncon n Fgu 2. accoand by ang of ac-onungy body no: na wav funcon a na objc n na ac and nna wav funcon a nna objc n nna onu-ngy ac and 2 f-acng and f-fna a aw whch accoany h agnaon n ac-onungy o a o nfoc anan h accounng nc of convaon of zo a uad n Fgu 2.2.
4 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 4 Fgu2.2 Pac-onungy quaon Fgu 2.3 how fo anoh cv of h aonh aong na objc n h na ac nna objc n h nna onu-ngy ac and h facng and f-fna a aw. ccodng o ac-onungy od f-nacon f-gavy a quanu nangn bwn h na objc and h nna objc. Fgu2.3 f-nacon bwn na objc n h na ac and nna objc n h nna onu-ngy ac Thfo ac-onungy od ay ca uan and cau vouon of oda n nay ac n aconungy by f-fna n a foow: 2. In on 2. u Nub nng ac-onungy body h; agnay un nng agnaon of aconungy; ± ann conn of agnaon uch a onu ngy ac and ; ± ann aw of agnaon I;
5 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 5 ancndna aw of On n aconungy bfo azaon; na aw; nna aw; na a aw; and nna a aw; h f-fna a aw n ac-onungy cod of h na and nna a aw whch govn nay n and conv zo; na wav funcon na objc n na ac; nna wav funcon nna objc n nna onu-ngy ac ; and h co wav funcon objc/ny n h dua unv cod of na ac and nna onu-ngy ac a a who. Pac-onungy n a = = = - - = - - = - - / - - = / bfo azaon. Pac-onungy ao n hough f-acng and f-fna a aw af azaon whch ac on na objc and nna objc o cau h o nac wh ach oh a fuh dcbd bow. 3. Gn of f-rfna a aw n h Paconungy od Naua aw a hachca 3. Gn of Fou-onu & Fou-oon Raon In h ac-onungy od h fou-onu = /c and fou-oon = c aon: / cc cc o / cc - cc 3. can b gnad fo h foowng oda f-fna n whn and aa o : / c c c c c c c / c / c c c co n co n c cc / c c / cc cc cc / 3.2
6 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 6 wh nnc o of an nay ac.g. dfnd hough Coon wavngh = /c. Fo cy w w c=ħ= houghou h wok un ndcad ohw. o w hav fo quaon 3.2: o 3.3 In h nc of an nacng fd uch a an coagnc ona n ac and dua n onu-ngy ac quaon 3.3 ay b odfd a foow fo an nay ny wh chag : n co n co wh - - ; - aa o -. Th aoho of & 3.4 a cvy a foow: c c c c / o / c c c c - 3.a c c c c c c c c c c c c c c / / / / n co n co c c c c / 3.2a
7 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 7 o 3.3a n co n co a wh c c c c / o whn c= aa o ; and - - ; - aa o f-rfna a aw and I aoho In h ac-onungy od on fo of a aw n ac-onungy cad fo h foowng oda f-fna n: n co n co 3.5
8 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 8 wh aa o and azaon cad ou n uch way ha D 3.6 o a o afy h fundana aon 3.3 n h dnan vw. f fonc nzaon n ac and onu-ngy ac cvy: 2 D 2 D 3.7 wh = 2 3 a Pau ac: h a on n 3.5 bco: 3.9 on 3.9 govn fon n Dac-k fo uch a Dac con and oon n h dua unv cod of ad na ac and nna ngy-onu ac. W fuh oo ha a on n 3.5 govn h hd a of a unnzd o n ny/ac wh chag and a nnc o uch a a on o a on-k ac n ad dua unv. If w dfn: D 3. wh and aa o w g: 2 I D 3.
9 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 9 Thu fundana aon 3. afd und h dnan vw of on 3.9. Indd w can ao oban h foowng convnona dnan: 2 D 3.2 wh and aa o. on & 3. hav h foowng aoho cvy: n co n co 3.5a 3.9a D 3.a 2 I D 3.a wh and aa o
10 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h on & 3. ao hav h foowng aoho cvy: n co n co D I D 3.6 wh aa o ; o n co n co
11 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 3.3a 3.4a D 3.5a 2 I D 3.6a wh aa o. Th a on n 3.3 o 3.3a h unnzd a aw n Wy-k chak fo. on 3.4 o 3.4a nzd a aw n Wy-k cha-k fo. noh knd of aoho of on & 3. cvy a foow: n co n co 3.7
12 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h D I D 3.2 wh aa o ; o n co n co 3.7a 3.8b D 3.9c 2 I D 3.2d wh aa o.
13 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 3 Dfn Q and Q w can w a on n 3.8 a: Q Q 3.2 If = = w hav fo on 3.5: n co n co 3.22 f fonc nzaon n ac and onu-ngy ac cvy h a on n 3.22 o 3.22a bco: 3.23 whch govn a and o-- fon-k nuno-k n Dac-k fo. f boonc nzaon n ac and onu-ngy ac cvy: I D I D I D I D h a on n 3.22 o 3.22a bco: 3.25
14 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 4 wh = 2 3 a n oao fo n ac: If w dfn: D 3.27 W g: z z z y y y z y z y z y I D To oby fundana aon 3. n dnan vw 3.27 w ha qu h a n 3.28 acng on h na and nna wav funcon cvy o oduc nu u zo n ouc-f zon a dcud a. W oo ha h a on n 3.22 govn a and nnc-o-- ac wh unobvab n n. f boonc nzaon h n and a ac gan n. On knd of aoho of on & 3.28 cvy a foow: n co n co 3.22a
15 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a 3.25a D 3.27a z y z y z y I D z z z y y y a Fuh f = w hav: n co n co 3.29 W ugg h abov ac and onu- fo of a aw govn h na and nna wav funcon f-fd whch ay h o of ac and onu- gavon ha hy da ac danc ndndn nacon hough o a nangn.
16 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 6 On of h aoho of 3.29 a foow: n co n co 3.29a 3.3 Iagnay onu & Iagnay Poon Pac-onungy od ay ca aa and onu fconfnn of an nay ny hough agnay onu n na ac and agnay oon n nna onu-ngy ac downwad f-fnc uch ha >: z y z y 3.3 ha : 3.3 whch can b cad by h foowng oda f-fna n: n co n co o 3.32 wh aa o.
17 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 7 Thfo aowng agnay onu n na ac and agnay oon n nna onu-ngy ac downwad f-fnc fo an nay ny w can dv h foowng a aw n Dac-k fo: o w can dv h foowng a aw n Wy-k cha-k fo: I uggd ha h abov addona fo of f-fna a aw govn oon n Dac-k and Wy-k fo cvy n ad dua unv. On knd of aoho of cvy a foow: z y z y 3.3a 3.3a n co n co o 3.32a 3.33a
18 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a 3.35a 3.36a wh aa o. 3.4 Ga fo Dvng a aw Th ga fo dvng vaou fo of h a aw o o nzaon n h ac-onungy od can b uazd a foow: D D D D D 3.37 wh D an dnan and and a cvy ac wh ± & ± o ± & ± ± & ± o ± & ± and ± & ± o ± & ± a n cvy and - and a dnan cvy and h a aw o dvd. Fo a h a aw n Dac-k fo o o nzaon: 3.38 can b dvd a foow: D D D
19 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 9 D D D 3.39 wh. Fo a cond a h a aw n Wy-k fo o o nzaon: 3.4 can b dvd a foow: D D D D D D 3.4 wh. Fo a hd a h a aw n quanon fo o o nzaon: 3.42 can b dvd a foow: D D D D D D 3.43 wh.
20 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 2 On knd of aoho of cvy a foow: D D D D D 3.37a 3.38a D D D D D D 3.39a 3.4a D D D D D D 3.4a 3.42a D D D D D D 3.43a wh.
21 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h Hachca Naua aw Th naua aw cad n accodanc wh h ac-onungy od a hachca and cod of: ann aw of Convaon anfng and govnng n h na ac and nna onu-ngy ac cvy whch ay o ay no hod; 2 ann aw of Zo convng oa ha of na and nna wavfuncon o zo and anfng and govnng n h dua unv a a who; and 3 ancndna aw of On anfng and govnng n aconungy. By way of a convaon of ngy onu and a and convaon of oon and nnc o a ann and aoa aw anfng and govnng cvy n na ac and nna onu-ngy ac. Convaon of zo convng oa ha of na and nna wavfuncon o zo n h dua unv cod of h na ac and nna onu-ngy ac a ann aw anfng and govnng n h dua unv a a who. Convaon of On Uny bad on fou-onu and fouoon aon ancndna aw anfng and govnng n aconungy whch h foundaon of na ac and nna onu-ngy ac. 4. cnfc Gn n Pac-onungy 4. cnfc Gn of nay Pac Pac-onungy od ca uan and cau vouon of a f an-wav fon ac uch a an con n Dac-k fo n h dua unv cod of h na ac and h nna ngy-onu ac a foow: co n co n
22 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a a wh aa o ha : o 4.2 wh ubuon & and & hav bn ad o ha coonn of can ac on h na and nna wav funcon. On knd of aoho of 4. & 4.2 n whch h dua unv cod of an na ngy-onu ac and an nna ac cvy a foow: n co n co
23 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 23 4.a a a o 4.2a wh aa o. Pac-onungy od ca uan and cau vouon of a f an-wav anfon uch a a oon n Dac fo n ad dua unv cod of ad na ac and ad nna ngy-onu ac a foow: n co n co
24 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a a wh aa o. On knd of aoho of 4.3 n whch h dua unv cod of ad na ngy-onu ac and ad nna ac a foow: n co n co 4.3a
25 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 25 a a wh aa o. ay ac-onungy ca uan and cau vouon of a f an-wav fon n Wy cha fo n a dua unv cod of an na ac and an nna ngy-onu ac a foow: n co n co 4.4
26 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 26 a a wh aa o ha : o 4.5 On knd of aoho of 4.4 & 4.5 n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: n co n co 4.4a
27 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 27 a a o 4.5a wh aa o. Pac-onungy od ca uan and cau vouon of a f an-wav fon n anoh fo n a dua unv cod of an na ac and an nna ngy-onu ac a foow: n co n co 4.6
28 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 28 Q Q wh Q and Q and wh aa o ha : o 4.7 On knd of aoho of 4.6 & 4.7 n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: n co n co 4.6a
29 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 29 Q Q o 4.7a wh aa o Q and Q. Pac-onungy od ca uan and cau vouon of a na an-wav hoon n a dua unv cod of an na ac and an nna ngy-onu ac a foow: n co n co 4.8
30 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 3 hoon - a a B Th hoon wav funcon can b wn a: k k k hoon B B B 4.9 f h ubuon & and & w hav fo h a on n 4.8: B B B 4. wh w hav ud h aonh and o dv h a quaon whch ogh wh and B a h aw-k quaon n h ouc-f vacuu n h dua unv cong of ad na ac and nna ngy-onu ac. Pac-onungy od ca a nuno n Dac fo by acng h a of on 4.8 wh h foowng: a a 4. On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow:
31 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 3 n co n co 4.8a hoon - a a B k k k hoon B B B 4.9a B B B 4.a a a 4.a Pac-onungy od ca uan and cau vouon of a na
32 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 32 an-wav anhoon n a dua unv cod of an na ac and an nna ngy-onu ac a foow: n co n co 4.2 anhoon B Th anhoon wav funcon can ao b wn a: k k k anhoon B B B 4.3 Pac-onungy od ca an annuno n Dac fo by acng h a of on 4.2 wh h foowng:
33 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 33 a a 4.4 On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: n co n co 4.2a anhoon B k k k anhoon B B B 4.3a
34 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 34 a a 4.4a ay ac-onungy od ca and uan ac and onu- ac/onu ndndn na and nna wav funcon of a a and nnc o n Wy cha fo a foow: n co n co 4.5 W W W W W g g On knd of aoho of 4.5 n whch h dua unv cod of ad na ngy-onu ac and ad nna ac a foow:
35 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 35 n co n co 4.5a W W W W W g g Pac-onungy od ca uan and cau vouon of a aay f-confnd ny uch a a oon hough agnay onu and agnay oon downwad f-fnc uch ha > n Dac fo n a dua unv cod of an na ac and an nna ngy-onu ac a foow: n co n co
36 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h f nzaon of h a on n 4.6 w hav: 4.7 dcud vouy ky ha h a on n 4.6 govn h confnn ucu of h unnzd oon n Dac fo hough agnay onu and agnay onu and on h oh hand on 4.7 govn h confnn ucu of nzd oon hough and n h dua unv cong of ad na ac and nna ngy-onu ac. Thu an unnzd and nzd anoon n Dac fo n h dua unv cong of ad na ac and nna ngy-onu ac ay b cvy govnd a foow: D D D 4.8 D D D 4.9 On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow:
37 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 37 n co n co 4.6a 4.7a D D D 4.8a D D D 4.9a ay ac-onungy od ca uan and cau vouon of a aay and onuy f-confnd ny uch a a oon hough agnay onu and agnay oon downwad f-fnc n Wy cha fo n h dua unv cong of ad na ac and nna ngy-onu ac a foow:
38 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 38 n co n co 4.2 wh aa o. f nzaon of on 3.4 w hav: 4.2 Th a on n 4.2 ay govn h ucu of h unnzd oon n Wy fo and on 4.2 govn h ucu of nzd oon n Wy fo. Thu an unnzd and nzd anoon n Wy fo n h dua unv cong of ad na ac and nna ngy-onu ac ay b cvy govnd a foow: 4.22
39 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: n co n co 4.2a 4.2a 4.22a 4.23a
40 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h cnfc Gn of Coo n Pac-onungy od ca uan and cau vouon of a nuon n Dac fo n h dua unv cong of ad na ac and nna ngy-onu ac whch cod of an unnzd oon: 4.24 and a nzd con: 4.25 a foow: n co n co n co n co 4.26
41 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 4 In on and 4.26 and n ndca oon con and nuon cvy. Fuh unnzd oon ha chag con ha chag and a h coagnc ona acng on unnzd oon and ghy bound nzd con cvy and a bndng ona fo h unnzd oon acng on h nzd con caung gh bndng a dcud a. If nggb du o h fa oon of h ghy bound nzd con w hav fo h a on n 4.26: 4.27 na daa on chag dbuon and g-faco of nuon o uo a nuon cong of an unnzd oon and a ghy bound nzd con. Th Wy cha fo of h a on n 4.26 and on 4.27 a cvy a foow: n 4.28 n 4.29
42 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 42 On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: 4.24a 4.25a n co n co n co n co 4.26a
43 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a n 4.28a n 4.29a Pac-onungy od ca uan and cau vouon of a hydogn ao n h dua unv cong of ad na ac and nna ngy-onu ac whch co of a nzd oon: 4.3 and a nzd con: 4.3 n Dac fo a foow: n co n co n co n co
44 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h In on and 4.32 and h ndca oon con and hydogn ao cvy. gan oon ha chag con ha chag and and a h coagnc ona acng on nzd oon and nzd con cvy. gan f nggb du o fa oon of h obng nzd con w hav fo h a on n 3.29: 4.33
45 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 45 Th Wy cha fo of h a on n 4.32 and on 4.33 a cvy a foow: h 4.34 h 4.35 On knd of aoho of n whch h dua unv cod of ad na ngy-onu ac and ad nna ac cvy a foow: 4.3a 4.3a n co n co n co n co
46 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h a 4.33a h 4.34a h 4.35a
47 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h ahac & Onoogy of h 5. ahaca c of h h ahaca Iann & Tancndna In h ac-onungy od ou cohnon ha: Th ahaca naon of h oda h n aconungy h u Nub whch ak h u dny ob: 5. 2 u Nub h foundaon of oda dncon n aconungy: = = = - - = - - = - - / - - = / u Nub h foundaon of h gn of fou-onu and fou-oon aon n ac-onungy: co n co n 5.3 whn and aa o. 4 u Nub h foundaon of h gn unanc and vouon of an nay ac n ac-onungy: u Nub ao h foundaon of quanu nangn o gavy n ac-onungy.
48 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 48 6 u Nub ann n h n ha h ngdn of quaon 5. o 5.5 hu a knowng and a n. 7 u Nub ao ancndna n h n ha h foundaon of nc hu onon and bhnd caon. 5.2 Iann c of h In h ac-onungy od h ann ac of h aocad wh ndvdua ny -h ha foowng abu: -h h ngdn of ao of ocu of c of a body; -h n ac oon ; -h govnd by h aw of hyc chy boogy; -h h ngdn of h wod h ah h oa y. -h h ngdn of awan fng agnaon f w; -h n ov aon ho da; -h govnd by h aw of ychoogy conoc ocoogy; -h h ngdn of nd ou. In h ac od h ann of h aocad wh h unva ny I- THR ha foowng abu: I-THR I ao ocu c body; I-THR I ac oon ; I-THR I aw of hyc chy boogy hyoogy; I-THR I h Wod h ah h oa y; I-THR I awan fng agnaon f w; I-THR I ov aon ho da; I-THR I h aw of ychoogy conoc ocoogy; I-THR I nd ou. 5.3 Tancndna c of h In h ac od h ancndna ac of h aocad wh ndvdua/ny -h ha foowng abu: -h no h ngdn of ao of ocu of c of a body; -h no n ac oon ;
49 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 49 -h no govnd by h aw of hyc chy boogy; -h no h ngdn of h wod h ah h oa y. -h byond awan fng agnaon f w; -h byond ov aon ho da; -h byond h aw of ychoogy conoc ocoogy; -h byond nd ou. In h ac od h ancndna ac of h aocad wh h unva ny T-THR ha foowng abu: T-THR I NOT h ao ocu c body; T-THR I NOT h ac oon ; T-THR I NOT h aw of hyc chy boogy; T-THR I NOT h wod h ah h oa y; T-THR I NOT awan fng agnaon f w; T-THR I NOT ov aon ho da; T-THR I NOT h aw of ychoogy conoc ocoogy; T-THR I NOT nd ou. 6. Concuon Th wok a connuaon of ac-onungy od dcbd cny. H w hav hown how n h od ac-onungy gna: fou-onu and fou-oon aon a ancndna aw of On 2 f-fna a aw wh fou-onu and fou-oon aon a h dnan and 3 aw of Zo n a dua unv cod of an na ac and an nna onu-ngy ac. W hav fuh hown how aconungy ay gna uan and ak vovng nay ac and coo ac ncooang h gn of f-fna a aw. In addon w w dcu h onoogy and ahac of h n h od. Iuavy n h bgnnng h wa ac-onungy by f = aay y and bgan o agn hough oda f-fna n = = = - - = - - = - - / - - = / uch ha cad h f-fna a aw h na objc o b obvd and nna objc a obvd aad h no na ac and nna onu-ngy ac caud h o nac hough ad a aw and hu gav bh o h dua unvunv whch ha nc uand and ad o vov.
50 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 5 Pac-onungy od oy h foowng onoogca nc aong oh: Pnc of onn/uny of nc hough quanu nangn n h h of ac-onungy. 2 Pnc of hachca oda f-fna n cang: - Fou-onu and fou-oon aon a ancndna aw of On. - Fou-onu and fou-oon aon a dnan of a aw. - aw of Zo of oa ha of na and nna wavfuncon objc. Fuh ac-onungy od oy h foowng ahaca n & fo aong oh n od o ow h abov onoogca nc: 3 u Nub fo o ow h a foundaon/ba/du of nc body of ac-onungy; 4 agnay nub fo o ow hough and agnaon n ac-onungy h; 3 zo fo o ow n undffnad/oda a; 4 on fo o ow onn/uny of nc; * / = fo o ow caon dynac baanc & convaon; 6 Pyhagoan Tho fo o ow ngy onu and a aon and oon and nnc o aon; and 7 a fo o ow h na ac and nna onungy ac and h nacon of na and nna wavfuncon. Rfnc. Hu H. & Wu. 2 Pac od of nay Pac Fou Foc & Concoun. Pac jouna : o : h://va.og/ab/. 2. Hu H. & Wu. 2 Pac od II: Gn of f-rfna a aw & h Onoogy & ahac of h. Pac jouna : o : h://va.og/ab/ Hu H. & Wu. 23 caon of Pac od I. Pac jouna 4: Hu H. & Wu. 23 caon of Pac od II. Pac jouna 4: Hu H. & Wu. 24 Ponungy od I: Gnaon of Ravc Q fo a Dua onu-ngy Unv. Pac Jouna 5:. 42-.
51 Hu H. &Wu. Pac-Ponungy od II: Gn of f-rfna a aw & ahac of h 5 6. Hu H. & Wu. 24 Ponungy od II. Pac Jouna 5: Hu H. & Wu. 24 odng hod Bad on Ponungy od. Pac Jouna 5: Hu H. & Wu. 24 Pac-Ponungy od I: Quanu Thoy fo a Dua Unv Cod of ac & onungy ac. Pac Jouna 52:
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