The Electrodynamic Origin of the Force of Inertia (F = m i a) Part 2

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1 h loyna On of h o of Ina ( a Pa Chals W. Luas J. 5 Lvnson Dv Mhansvll MD 65-7 bll@oonsnssn.o bsa. vw of Nwon s Pnpa [] shows hs pnn on hs xsn ho fo absolu spa an n o o xplan h fo of na an h nfual fo n s of absolu oonas. vw of h hsoy of nsn s Gnal hoy of lavy vals hs falu o sablsh h bass of na an h nfual fo n s of lav oonas as Mah [5] ha nvson. In hs wok h fo of na nlun h nfual fo s v fo h unvsal loyna fo law bas on lav oonas. o h loyna pspv h nal fo s an ava sual fo bwn vban nual l pols onssn of ao lons vban wh sp o poons n h nulus of aos. h nal ass s v an shown o b qual o h v avaonal ass suln fo h sa unvsal fo law. h vbaonal hans fo boh avaonal an nal ass auss h anu of boh asss o ay ov. h v loyna nal fo has a son a non-aal x ( x whh sbs an obsv non-nwonan nal yosop oons. uns a a ha hs v law of na s supo o boh Nwon s Law of Ina ( a an nsn's fl quaons of Gnal lavy hoy baus ( s poply bas on loal ona fos nsa of unphysal aon-a-a-san fos ( s bas on fos bwn fn-sz pals nsa of anay pon pals ( s bas on lav oonas nsa of fous absolu spa oonas ( s v fo a unvsal fo law (5 xplans h nfual fo as a p of h nal fo (6 s spl an os no n ass as a funanal quany (7 xplans h appan quvaln of avaonal an nal ass ( onans a nw non-aal x ( x ha sbs aonal obsv phnona no pvously xplan by any hoy of na an ( onans lavs yp v/ oons fo hh vloy. Dvaon of o of Ina fo h Unvsal loyna o Law. In hs son h on of h nal fos wll b shown o b u o h alaon s of h unvsal loyna fo whh s bas on lav oonas. h offn of h alaon fns h nal ass n h sa way as a pvous pap fn h avaonal ass. In hs way h quvaln of h avaonal an nal ass wll b onsa o b val un an onons. In nal h onp of a funanal physal quany all ass [] wll b shown o b nval. h physal quany pvously nf as ass s foun o b an appoxaly onsan oupn of loyna vban nual pol s un an onons. ounaons of Sn buay Coon Sns Sn pn/inn l Pa hp://coonsnssn.o

2 ounaons of Sn buay Coon Sns Sn pn/inn l Pa hp://coonsnssn.o quaon ( fo h unvsal loyna fo [ ] was v assun ha h loyna ponal s a ula wll-bhav onnuous funon of h lav oonas - V v - v a a. Cons h possbly ha h fs alaon of quaon ( s h on of Nwon s son law a. { } ( 5 5 os os os os V ssu ha h fo of Nwon s son law s bwn a ha an so vban nual pols onssn of posv poons an nav lons wh h pol s fn by an f ν an os. h aplu of h osllaon s of h o of h sz of h ao -. h fquny of osllaon s n h owav an p son. h aplu of h vbaon s axu as psn by os ( φ. In o o splfy h alulaons assu ha h posvly ha poon s uh o assv han h navly ha lon suh ha h vbaoy oon of h pol an b ons as u paly o h oon of h lon. Sn h ass of h poon s 6 s h ass of h lon hs s a asonabl appoxaon. In o o alula a quany opaabl o Nwon s son law a [] wll b nssay o pfo a nub of avas. ah osllan pol has a ffn phas φ ha us b ava ov. ah osllan pol ay hav a u. Osllaons of lon n Nual Dpol. q q q

3 ounaons of Sn buay Coon Sns Sn pn/inn l Pa hp://coonsnssn.o ffn physal onaon ha ns o b ava ov fo all h pols n h aal boy. In o o oban a npnn valu wll b nssay o pfo a ava on h osllan pols. hus h fo o b opa wh Nwon s son law s o sply assu ha h ollon of pols has sphal syy. In hs as h nal ov φ bos jus vn No ha h a wo funanal yp s n h fo vn n quaon (. h fs s popoonal o h alaon. h son s ppnula o h alaon an. hs wll la o a nw (pvously unknown? nal fo whh auss oksw spaln oon ppnula o h alaon. Copuaon of h laon fo Nwon s Son Law ( a. h fo s fo h fs alaon o o n quaon ( a vn blow [] 5 os os os o h vloy s n h [ ] of h xpssons fo h fo abov ons h as osponn o ypal lab fo abl xpns. In hs as only h s a lf vn [] os On an s ha h su of h fs s n h [ ] of h wo fos s jus. hus h oal fo s os `

4 ounaons of Sn buay Coon Sns Sn pn/inn l Pa hp://coonsnssn.o Now h nals of quaon ( an b valua os wh 5 os os os os os os hus w hav v an loyna foula fo h nal ass. U hs fnon w an valua quaon (6.. 6 o h vaon of h fo of avy fo h unvsal loyna fo law []. 7 5 G G ˆ ˆ an quaon ( w ay w h ao of h fo of avy on wo ffn bos a h sufa of h ah of aus an ass as qual o h ao of h nal fos fo h as of h boy a s on h sufa G G In suay w hav v Nwon s son law fo loynas an fn h nal ass. hn w show ha h ao of wo nal asss s xaly h sa as h ao of h pvously v avaonal asss []. hus w hav a lassal loyna xplanaon of why h avaonal an nal asss a nal. hs s also a fuh naon ha h loyna fo law s h unvsal fo law.

5 Suay of Pa. nw lassal loyna nal fo law was v fo a loal ona yp unvsal loyna fo law fo fn sz pals. In hs fo law ass s no a funanal quany of nau bu ly a oon oupn of loan faos. h fs alaon of h loyna fo of o vs s o Nwon s son law fo non-lavs vlos. hs v law of na appas o b supo o boh Nwon s Law of Ina ( a an nsn's fl quaons of Gnal lavy hoy baus ( s poply bas on loal ona fos nsa of unphysal aon-a-asan fos ( s bas on fos bwn fn-sz pals nsa of anay pon pals ( s bas on lav oonas nsa of fous absolu spa oonas ( s v fo a unvsal fo law (5 xplans h nfual fo as a p of h nal fo an (6 xplans h appan quvaln of avaonal an nal ass. fns. [] Luas Chals W. J. an Josph C. Luas Wb s o Law fo als n-sz las Pals Jounal of Nw ny Vol. 5 No. pp. 7- (. [] Luas Chals W. J. an Josph C. Luas Wb s o Law fo n- Sz las Pals Gallan loynas Vol. pp. - (. [] Nwon Isaa Mahaal Pnpls of Naual Phlosophy Ga Books of h Wsn Wol Vol. nylopa Banna In. Chao (67/5. [] Luas J. Chals W Classal loan hoy of vyhn Pons of h Naual Phlosophy llan Vol. No. fo h h nnual Confn of h NP a h Unvsy of ulsa n Oklahoa pp. -5 (pl [5] Mah ns D Mhank n h nwklun hsosh ksh asll Lpz (. ounaons of Sn buay Coon Sns Sn pn/inn l Pa 5 hp://coonsnssn.o

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