Time Correction, Energy and Momentum

Transcription

1 Siene Jounal of ysis ISSN: p:wwwsjpubog Auos 0 CC Aibuion 30 Liense esea Aile ublised By Siene Jounal ubliaion Inenaional Open Aess ublise Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp Tie Coeion, negy and Moenu Manoj Bansidas Agaa MH Uniesiy of Sou Floida ail: _agaa@yaooo ACCTD s Augus, 0 ABSTACT insein s speial elaiiy eoy is aking any allenges egading e speed of neuinos s speed of lig insein s foula of = is a onesone of siene wen i oes o speial elaiiy egading ass, speed of lig, and enegy Te onen in is aile is a ee ay bea ie foulaion in elaiiy a ay failiae e equaion of = a based on e OA expeien wi CN s elp ay suppo slowe speeds aoding o insein of neuinos Wi e basi ae law of xt=d, e equaion of: =π will elp beause e paaee of o ie oeion is inluded o enegy oeion is foulaed as: =π e disane aelled in e expeien wee abou k and ies inoled inluded fo 74 ns o 47 ns Tis aile also deals wi e alulaion of oenu wi enegy of speial elaiiy Fo eod, low waelengs sows a ige oenus and enegies ae podued Te labda eod deied o alulae e wae leng ay allow esiaes of oenu and eloiy of pailes sown o be slowe an speed of lig Keywods:Speial elaiiy, Tie Coeion, Moenu,lank squaion, De Boglie s quaion 3 4 D obs ns X 0 0 k 0 k 99 8 s T D s au k s s s 7 s INTODUCTION Te auo wises o disuss eods o oe ie of neuino and infeenes in speial elaiiy wi a ie oeion eod Agaa 0 using a edian obseed ie of 60 ns fo neuinos insein saed a speed of lig us be geae an e pailes su as neuinos Soe fundaenal equaions ae sown wi ei deiaions Agaa 0 nex K 483x0 3au k s 6 44 x0 4au k s 7 K x0 4au k s How o Cie is Aile: Manoj Bansidas Agaa MH"Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

2 S i e n e J o u n a l o f y s i s I S S N : a g e 8 xt D pi pi pi pi D pi esuls 387au k s Te following foulae ae been deiedo and uilize = and = fo e squae oo of oenu fo a paile e-wien lank s equaion in es of S is: VV o aio of eloiies alulaed fo is daa is 68 Table : New Moenu and negy aaees wi New Meods of Tie Coeion Obs Meod ies oo of diided by negy labda H lank s onsan kkgs VV Figue : lo of negy,, and Waeleng Table How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

3 S i e n e J o u n a l o f y s i s I S S N : a g e 3 negy s and Waeleng negy labda Te oenu ansfoaion is alulaed by: Fo S= λ Te alues ae in able Fo enegy opaison, Figue : lo of New Moenu and negy wi Waeleng lo fo Meod of Tie Coeion Table Moenu s negy and Waeleng negy labda Figue 3: lo of New, negy,and Waeleng lo fo New Meod of Tie Coeion Table How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

4 S i e n e J o u n a l o f y s i s I S S N : a g e s negy and Waeleng negy labda Figue 4: lo of New negy, Moenu, and lo fo New Meod of Tie Coeion Table negy Disussion Te ie oeion aually is only sligly diffeen an e obseed ie of 60 ns One is alulaing 99 ns a sall diffeene of 8x0- s o 33% fase Tus aually speeds ay be slowe by Ào sae as expeed beause e ie of 60ns is a edian alue fo ose epoedaual speeds of neuino pailes ay be slowe One does obsee a =K, likewise fo speial elaiiy Te quesion of alulaing exa oenu and posiion of a paile ay be soewa lose as is negy s Moenu and appoa allows oe alulaions based on enegy and eloiy is sligly geae an indiaing a e enegy is geae an e squae oo of oenu by oe 30 peen and S is fa oe diffeen an oenu oug Te ange of enegy alues ae: 43x0-4auks;967x0-3 auks;0387aukss and ae e alulaed alues fo equaion fo S,, and espeielyfo S, oenu is anging wi waeleng as defined by lank s equaion oe an e paaee speed ogee wi ige alues of e waeleng eans e squae oo of oenu will be ige De How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

5 S i e n e J o u n a l o f y s i s I S S N : a g e Boglie s equaion fo poon oenu is ansfoed and plosow a enegy s oenu isnon-paallel figue 4 s enegy and waeleng sow alues ae paallel and fa apa figue3 Figue of enegy, speed and waeleng ae paallel bu poins ae lose and paallel Hige waelengs podue lowe enegy S S if 3 77 xt p D pi pi 43 7 pi pi D pi 0 k 4 au Te eods opaed sow a wi podue a siila esul o speial elaiiy of insein exep ie is a paaee wi e foula and is diffeen by a fao of ougly Also in e aual daa, one finds a fo e s eods, and lowe waeleng podues sligly ige oenus Lage diffeenes in waeleng ae oe ipa on enegy bu opposie effe on oenu sown in able s k s Howee obseaions in able sow a ineases in speed ae less signifian fo oenu bu ineases in speed inease enegy Te exponenial powe oo of, o oenu, deeases exponenially wi inease in labda 4 D x0 s S 47 x0 3 Te appliaions in speial elaiiy need De Boglie s equaion and lank s equaion oug waeleng is alulaed wi ie oeion ene ea easue fo oenu and enegy will diffe How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

6 S i e n e J o u n a l o f y s i s I S S N : a g e 6 How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp S s k kg x S S s x S x Te waeleng alulaed fo daa us fa is λ6,309,49, fo, and 99x0-8s o ie oeionyields an unansfoed o oenu =49x0-40 kg ks fo a neuino fo gien ie oeion99x0-8 sand disane aeled of k849 x0-7 is e oo ansfoaion of indiaed by e foulaaoding o is deiaion of oenu and ie oeion, neuino speed and ie oeion eod of e auo is opaible wi De Boglie s equaion egading poon oenumoenu is no ypially alulaed wi ie, so e foula 8 is ipoan opaed o wi is also anoe opaison of oenu o negy equaion of speial elaiiy a adds anoe diension, ie oeion fo waeleng and oenu alulaions Hig alues of waeleng, as sown fo aual daa, deonsae a alues of enegy and oenu ae onsisenly lowe as expeed In addiion e aio of ay be suppoed again 8 if en, soling fo yields a ie of 3 x0-7s wi By uliplying o bo sides, one ay sole fo waeleng xt=d yields a alue of ks=π yields o a adial eloiy of 9x0+0 ks Tus again 68 o e aio of adial eloiy oe siple linea ae is 68, o π, fo e neaed ie of 60 ns possibiliy fo neuino, a edian alue and disane of 73008k So e adial eloiy o eloiy as a ansfoing fao ay ange oenu and enegy of lank equaions and De Boglie s o aking ie ino onsideaion Tis elaionsip sill is opaed oug enegy and oenua ae no sae

7 S i e n e J o u n a l o f y s i s I S S N : a g e 7 and Soling fo waeleng in e enegy and oenu p equaion aboe yields: 8 a is ie oeion based due o deiaion Wi =49x0-40, =4,099,646Te ansfoaion gies a alue of: 860-8x0-7 kg ks and enegy ansfoed o 3307 x0-6 k kgs wi is sligly oe an oenu one ansfoed wen soling fo oenu wi e ansfoaion Figue : 3 D los fo Moenu and negy fo Table 3 D lo of Moenu and negy fo negy Figue 6: 3 D los fo Moenu and negy fo Waelengs Table 3 D lo of Moenu and negy fo Labda labda negy Te plos aboe sows a speed gies a paen enal o e desipion of enegy and oenu figue and waeleng sows a labda is non-enal o bo oenu o enegy ye affes oenu oe an enegy figue 6 fo e geneal equaions aboe using π fo ando daanegy and oenu plos in figue 7 and 8 appea non-noal Finally, e diffeene in How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

8 S i e n e J o u n a l o f y s i s I S S N : a g e 8 oenu and enegy fo adial eloiy and ie oeion, sows a diffeene of a fao of π powe oo and diide fo equaions o opae and ansfo wen obaining waelengs wi ie oeion Figue 9 sows a enegy and oenu fo labda and waeleng ae ineasing en deease based on daa and eods Figue 0 sows a deeasing end fo waeleng and enegy Figue 9 sows waeleng and enegy wi oenu spial wi ie oeion based alulaions of waelengs Moenu and enegy ay also be oelapping a diffeen anges fo waeleng as in figue 9 a ay podue waes Figue 7: 3 D los fo Waeleng and fo negy Table 3 D lo of Labda and fo negy negy labda Figue 8: 3 D los fo Waeleng and fo Moenu Table 3 D lo of Labda and fo Moenu labda How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

9 Siene Jounal of ysis ISSN: a g e 9 Table : Saple Daa fo Moenu and negy fo figues -8 negy Labda H lank s onsan VV Figue 0 : 3 D los fo lank s Consan and Waeleng fo and negy and Tie Coeion fo II lank Consan by Waeleng fo lank Consan by Waeleng fo negy negy labda labda How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

10 Siene Jounal of ysis ISSN: a g e 0 Figue 0 b: 3 D los fo New Waeleng and fo Tie Using Splines Table 3 Waeleng and fo Tie ie labda Te foula p following able 3 and figues yields e Figue : 3 D los fo New Waeleng and fo Tie Using Splines Table 3 New Waeleng by fo negy lank 's Consan by Waeleng fo negy labda labda How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

11 Siene Jounal of ysis ISSN: lank 's Consan by Waeleng fo negy a g e lank 's Consan by Waeleng fo Tie negy ie labda labda Table 3: New Waeleng Meod, negy and Moenu aaees Obs Meod Ties oo of diided by negy Labda p Te labda o waeleng sows a diffeen end an e ieeloiy foula in pysis wi ie oeion fo enegy and oenu Figue will sow a waeleng by speed beaes like a wae and ie is syei o waeleng Figue H lank s onsan kkgs VV indiaes a lank s onsan and waeleng beae diffeenly fo enegy s ie Tie is uplike Calulaing neuino speed is possible wi e gien infoaion o a leas an appoxiaion How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

12 S i e n e J o u n a l o f y s i s I S S N : a g e p 8 40,04, x x x0 7 k if 99,79 48 k s 8 ligspeed 99, x0 0 neuino speed speed 0 x x x0 33 neuino kg s 99,778 k s 99,778 3 k s 49 x0 40 kg k s One obsees a fo e edian ie of 60 ns and pa disane of 73008k, e speed is 99,778 ks o 3 ks slowe an e speed of lig fo a neuino a e CN and OA expeien And e oenu alulaed by e eod is siila o S ougly oug sligly oe an oenu S =46x x0-7 ansfoed s 49 x x0-7 ansfoedmoenu is geae an enegy fo e eod fo neuinos is equialen o, wi =99,778, ene ν =34x0-4, so ν=4770 ks ν_oeed=6346x0-4 is less an S of 466x0-40 elaiisi = is a ige esiae an wi as speed of lig a is supposed o be geae an aual speed of neuino pailesfinal =464 x0-40 s S is sligly less an wi speial elaiiy of 466x0-40 One ay also opae ν=4770 ks wi eloiy of 99,778 ks wi is also opaable o a diffeene of π 68 fo eloiy again fo neuino pailes jus like obseed and ie oeed eloiies fo disane equied and ie obseed of k and edian 60 ns iewi alulaions aboe sow a speed of lig is onsisenly followed fo speed and fequeny , 778, 79 0 k k 44 s s 46 kg k s In onsideaion fo e ν=4770 ks alue, e subsequen saisis alulaed ae: Labda =646x0+3; ν=7436x0-0; enegy is =ν=49x0-40; oenu is =64-4, νfinal=46-40 Te eod yields alues opaable fo enegy 46x0-40Te final alues ae in able 4 fo bo eloiy and adial eloiy How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp

13 S i e n e J o u n a l o f y s i s I S S N : a g e 3 Table 4: insein's elaiiy and New Meod wi Waelengs Labda by p Obs Meod insein=, ν, and New Meod =, Tie s kgks negykgks ks Labda S and by p Te pi ansfoaion eod yields alues sown below a ae ougly in e ange seen in e ie oeion eod fo obseaions in able fo and ansfoed oug lesswi e Labda foula fo adial eloiy wi oeion is ondiion does no old iplying enegy is geae an oenu fo adial oeion Table 4 Tie oeion esuls in a foula fo oenu en waeleng, possibly desibing neuinos as dak ae and ie ay no be oelaed wi oenu < and enegy likewise is no oelaed wi ie < 048 and bo ae negaiely oelaed o ie using OC CO in SAS is -4 fo quanu eanis of insein and -3 of e eod on aeage Saisial analysis of able 3 sow a oenu ansfoed is non-noal SW: <00004; negy is non-noal SW: <0000; speed is non-noal SW: <0000; ie is non - noal SW: <000; and labda SW: <0000 fo ie oeion eodsaisial analysis sows a oenu ansfoed wi Labda is noal SW: <0084; negy is nonnoal SW: <00006; speed is non-noal SW: <0000;ie is non-noal SW: <00004; and labda SW: <0000 is non -noal Analysis of able 4, o final daa, sows a, ie is noal SW: <; oenu is non-noal SW: < 0000;enegy is non-noal SW: <0039;speed is non-noal SW: < 0039; and waeleng is noal SW: < 0 OC CO deonsaes a ie is negaiely oelaed wi enegy, oenu and speed bu posiie wi waeleng negy is found o be saisially signifianly oelaed wi speed wi <0000 efeenes Agaa, Manoj 0 ffe Modifiaion, Confounding, Hazad aios, Disibuion Analysis, and obabiliy of Non-noal Daa fo Head Nek Cane p:supposaso esouespapespoeedings3-0pdf Agaa, Manoj 0 "Foulas Calulaing isk siaes and Tesing fo ffe Modifiaion and Confounding" OCDINGS, Saisis and aaokineis p:wwwlexjansenopaasug0s ppaasug-0-sp03pdf 3 Cliff s ysis 994 Cliff s Quik eiew ysis Cliff s Noes, Linoln,Nebaska 4 HansOanian and Jon Make ysis fo nginees and Sieniss W W Noon Copany 007 Sanaiwe and Cynia illips d ssenial insein F and W ubliaions Speial elaiiy p:enwikipediaogwiki Speial_elaiiy 7 3 d plos p:wwwpsyyokualabsas geplay How o Cie is Aile: Manoj Bansidas Agaa MH "Tie Coeion, negy and Moenu "Siene Jounal of ysis, Volue 0, Aile ID sjp-, 3 ages, 0 doi: 0737sjp