Using hypothesis one, energy of gravitational waves is directly proportional to its frequency,

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1 ushl nd Grviy Prshn Shool of Siene nd ngineering, Universiy of Glsgow, Glsgow-G18QQ, Unied ingdo. * orresponding uhor: : Prshn. Shool of Siene nd ngineering, Universiy of Glsgow, Glsgow-G18QQ, Unied ingdo, Tel: ; -il: Prshn.9410@gil.o. Reeived: Deeber 08, 017; Aeped: Jnury 03, 018; Published: Jnury 10, 018 Absr nergy of grviionl wves is lwys qunized in for of is ngulr oenu. Bsed on hypohesis, vrible, ushl onsn is inrodued s i is onsn for given ss. Using his, he of grviionl wves rvelling in ss nd in spe-ie ws derived respeively. A loophole bsed on hypohesis ws used in deriving he equions of onsiousness whih hold rue for insein s ss-energy equivlene [1]. Definiion of grviy hs been redefined nd foruls for ie nd enropy in he for of ushl onsn were luled. eywords: Grviionl wves; Qunised; ushl onsn; quions of onsiousness; Mssenergy equivlene; Tie nd enropy Inroduion Hypohesis one, whenever n obje hnges is relive posiion in spe-ie, i rdies grviionl wves in he direion of oion nd his hnge is opposed by he effeive surrounding grviionl wves, obje ould be nyhing rnging fro n o o blk hole. Hypohesis wo, he origin of grviionl wves is lwys fro he enre of grviy of n obje. Hypohesis hree, grviionl wves rvels in srigh line. Qunized grviionl wves Using hypohesis one, energy of grviionl wves is direly proporionl o is frequeny, GW f Reoving proporionliy onsn, GW = f (1) Where is ushl onsn, deerined s follows: Fore of grviy in beween wo objes is given by iion: Prshn. ushl nd Grviy. J Phys Asron. 018; 6(1): Trde Siene In. 1

2 Jnury-018 G1 F [] lso Newon s seond lw of oion sys F=g [3], hene, i n be inferred h we ge g G g G, provided 1 = =. Also, for insein s ss-energy equivlene, Sine he energy of phoons is lwys qunised, = hf [4], hene i n be inferred h insein s ss-energy equivlene, we ge opring his resul wih equion 1, we ge Ghf g Gh g () Ghf g Agin, using If G = g, hen = h; where, is ushl onsn, is he ss of n obje, G is grviionl onsn, h is plnk s onsn, g is elerion due o grviy nd is he xiu veril disne fro he enre of grviy of n obje. ushl onsn hs been disussed in ler seions. Speed of GWs in ss onsider spheril obje res hving ss () nd rdius (). Using hypohesis wo, by equions of oion [5], v = u + g or v = g, sine obje is res. Where, v is he of GWs, g is elerion due o grviy nd is ie ken by GWs o rvel fro he enre o he periphery of ss. Hene, Speed g f (3) Sine energy of grviionl wves is lwys qunized, lso, poenil energy [6] he enre of he sphere is given by = g. Using equion 1 g k f Fro equion 3, i n be inferred h = / Using equion, beoes Gh 3 g (4) where G is grviionl onsn, h is plnk s onsn nd g is elerion due o grviy. G Fro Newonin grviy [],. Fro qunizion of energy, h f, nd fro poenil energy, g

3 Jnury-018. Puing he vlues of G, h nd g ino equion 4, we ge f Using insein s ss-energy equivlene, f bu lso Hene or f (5) or f (6) The of grviionl wves rvelling in ss is i.e. he of ligh. Speed of GWs in spe-ie onsider wo objes of idenil ss () nd rdius () in osi dne, eh hving n enngled phoon righ he enre while boh objes re inining disne of wih eh oher, is equl o he Shwrzshild rdius [7], given by G Newonin grviy, lso fro insein s ss-energy equivlene, G hene i n be foruled s: G By we ge = = 1 or 1 = 0. These re known s equions of onsiousness in ers of eleporion nd qunu enngleen respeively, whih is disussed in ler seions. Using equion 6, = f 1, fer pplying equion of onsiousness for qunu enngleen, 1=0, we ge, = f, sine qunu enngleen is independen of disne. Also, equion 5 n be rewrien s = f 1, using equion of onsiousness for eleporion, =1, = f or ff, his is due o he diffrion of GWs when hey ross he periphery of ss nd ener ino speie whih is nlogous o diffrion of ligh [8]. Using = f nd equion 6, we ge, =. Hene qunu eleporion is breking he singulriy nd he of grviionl wves rvelling in spe-ie is, or of he order of Th is why in reen deeion of GWs, GW170817, grviionl wves deviion fro he of ligh ws less hn few prs in Defining ushl Using hypohesis one nd hree, he erh is iled 3.4 o wih respe o he sun, o ke i siple only erh s roion in erin plne is ken ino onsiderion, i us be rdiing grviionl wves his ngle while he effeive surrounding grviionl wves re oing fro he sun n ngle of 0 o. A web of infinie nd inresing qudrilerls will be reed in beween he whih n be pproxied s prllelogr over shor disne nd his one prllelogr is one ushl. Moreover, his web is known s he grviy of he erh. onsn, ushl is defined in ers of ie nd enropy or he. 3

4 Jnury-018 Tie Speed of GWs in ss is whih n be wrien s on equing while using equion 1, (7) k king squres on boh sides,. Where Where is ie, is ss, is xiu veril disne fro enre of grviy of n obje nd is ushl onsn. I n be inferred h ie nd ushl onsn re inversely proporionl o eh oher; s we ove wy fro erh, he size of ushl inreses, hene ie srs flowing fser s opred o h on erh. nropy Fro equion, using diensions i n be inferred, kg k s Dividing by T on boh sides, we ge k J T where J/ is enropy (S), using equion 7, we ge S T opring i wih he lws of herodynis, whih sys Q Q S T, hene, where Q is he he bsorbed or relesed nd is xiu veril disne fro enre of grviy of n obje. quions of onsiousness =1 is he equion of onsiousness for eleporion nd i signifies insein s ss-energy equivlene. Le us ry i ou. Newon s lw of oion sys, F = g, lso Newonin grviy sys, F G on equing he, we ge, G = g (8). Fro Shwrzshild rdius, nd fro poenil energy 1 G g Using equion 8 in obinion wih =1, we will ge =. quion of onsiousness for eleporion is vlid proof of insein s ss-energy equivlene. Also, hese equions n only be used ording o he resonble will of onsious ind. onlusion nergy of grviionl wves is lwys qunised in for of is ngulr oenu. Speed of GWs rvelling in ss nd in speie is nd respeively. Foruls for ie nd enropy re derived in ers of ushl onsn. =1 is he 4

5 Jnury-018 equion of onsiousness for eleporion whih signifies ss-energy equivlene. Also, n ep hs been de o redefine grviy of n obje. RFRNS 1. Jenshel, Mihel. insein s ss-energy equivlene priniple. Aess Siene Poisson, Will M. Foundions of Newonin grviy. Grviy. 014; Murdin P. Newon s Lws of Moion. The nylopedi of Asronoy nd Asrophysis. 000; Sephenson L. Qunision of energy. Journl of he Insiuion of leril ngineers, 1963; Blkwell. quion of Moion. Dynis of Sruures. 013; Book. Poenil nergy Trnsfor. Risk Mngeen Shelon JD. Siple Inerpreion of he Shwrzshild Rdius. Aerin Journl of Physis. 1973; 41: Beeson S, Myer JW. Diffrion nd Inerferene. Perns of Ligh. 1987;