Repulsive Gravitational Force Field

Transcription

1 Repulsve Gavtatoal Foce Feld Fa De Aquo To cte ths veso: Fa De Aquo. Repulsve Gavtatoal Foce Feld <hal > HAL Id: hal Subtted o 7 Oct 014 HAL s a ult-dscplay ope access achve fo the depost ad dsseato of scetfc eseach docuets, whethe they ae publshed o ot. The docuets ay coe fo teach ad eseach sttutos Face o aboad, o fo publc o pvate eseach cetes. L achve ouvete pludscplae HAL, est destée au dépôt et à la dffuso de docuets scetfques de veau echeche, publés ou o, éaat des établsseets d eseeet et de echeche faças ou étaes, des laboatoes publcs ou pvés.

2 Repulsve Gavtatoal Foce Feld Fa De Aquo Copyht 01 by Fa De Aquo. All Rhts Reseved. A ethod s poposed ths pape to eeate a epulsve avtatoal foce feld, whch ca stoly epel ateal patcles, whle ceat a avtatoal sheld that ca ullfy the oetu of cdet patcles (clud photos). By ullfy the oetu of the patcles ad photos, clud the faed ae, ths foce feld ca wok as a pefect theal sulato. Ths eas that, a spacecaft wth ths foce feld aoud t, caot be affected by ay exteal tepeatue ad, ths way, t ca eve peetate (ad to ext) the Su wthout be daaed o to cause the death of the cew. The epulsve foce feld ca also wok as a fcto educe wth the atosphee (betwee a aeoave ad the atosphee), whch allows tavel wth vey hh veloctes thouh the atosphee wthout oveheat the aeoave. The eeato of ths foce feld s based o the eveso ad tesfcato of avty by electoaetc eas. Key wods: Quatu Gavty, Gavtato, Gavty Cotol, Repulsve Foce Feld. 1. Itoducto μ The Hs feld equatos ae [1]: μ ϕ + Assu that ass a ( f ϕ ϕ ) ϕ 0 ( 1) 1 0 b b a = 0 s the avtatoal ass, the we ca say that Hs feld the te < 0 ases fo a poduct of postve ad eatve avtatoal asses ( )( ) =, howeve t s ot a aay patcle. Thus, whe the Hs feld s decoposed, the postve avtatoal ass s called patcle, ad spotaeous ves o to the ass; the eatve avtatoal ass s called dak atte. The coespod Goldstoe boso s ( + ) + ( ) = 0, whch s a syety, whle the Hs echas s spotaeously boke syety. Thus, the exstece of the Hs bosos [] ples the exstece of postve avtatoal ass ad eatve avtatoal ass. O the othe had, the exstece of eatve avtatoal ass ples the exstece of epulsve avtatoal foce. Both the Newto theoy of avtato ad the Geeal Theoy of Relatvty the avtatoal foce s exclusvely attactve oe. Howeve, the quatzato of avty shows that the avtatoal foces ca also be epulsve []. Based o ths dscovey, hee we descbe a ethod to eeate a epulsve avtatoal foce feld that ca stoly epel ateal patcles ad photos of ay fequecy. It was developed stat fo a pocess pateted July, (BR Patet Nube: PI ) [4].. Theoy I a pevous pape [5] t was show that, f the weht of a patcle a sde of a laa s P = ( pepedcula to the laa) the the weht of the sae patcle, the othe sde of the laa s P =, whee = 0 ( ad 0 ae espectvely, the avtatoal ass ad the etal ass of the laa). Oly whe = 1, the weht s equal both sdes of the laa. The laa woks as a Gavtatoal Sheld. Ths s the Gavtatoal Sheld effect. Sce P = P = ( ) = ( ), we ca cosde that = o that =. If we take two paallel avtatoal shelds, wth 1 ad espectvely, the the avtatoal asses becoe: 1 = 1, = 1 = 1, ad the avty wll be ve by 1 = 1, = =. 1 1 I the case of ultples avtatoal shelds, wth 1,,...,, we ca wte that, afte the th avtatoal sheld the avtatoal ass,, ad the avty,, wll be ve by = 1..., = 1... ( ) Ths eas that, supeposed avtatoal shelds wth dffeet 1,,,, ae equvalet to a sle avtatoal sheld wth =.... 1

3 = (a) G S = F. Gavtatoal Sheld (GS). If the avty at a sde of the GS s ( pepedcula to the laa) the the avty at the othe sde of the GS s. Thus, the case of ad (see fue above) the esultat avty at each sde s + ad +, espectvely. (b) F. 1 Plae ad Sphecal Gavtatoal Shelds. Whe the adus of the avtatoal sheld (b) s vey sall, ay patcle sde the sphecal cust wll have ts avtatoal ass ve by =, whee s ts avtatoal ass out of the cust. The exteso of the sheld effect,.e., the dstace at whch the avtatoal sheld effect each, beyod the avtatoal sheld, depeds bascally of the atude of the sheld's suface. Expeets show that, whe the sheld's suface s lae (a dsk wth adus a ) the acto of the avtatoal sheld exteds up to a dstace d 0a [ 6]. Whe the sheld's suface s vey sall the exteso of the sheld effect becoes expeetally udetectable. = d 0a (a) G S G S d = (A) a a (B) (b) F. The avty acceleato both sdes of the avtatoal sheld. F. 4 - Whe the sheld's suface s lae the acto of the avtatoal sheld exteds up to a dstace d 0a (A).Whe the sheld's suface s vey sall the exteso of the sheld effect becoes expeetally udetectable (B). The quatzato of avty shows that the avtatoal ass ad etal ass ae coelated by eas of the follow facto []:

4 1 Δp = = 1+ 1 () 0 0 c whee 0 s the est etal ass of the patcle ad Δp s the vaato the patcle s ketc oetu; c s the speed of lht. I eeal, the oetu vaato Δ p s expessed by Δ p = FΔt whee F s the appled foce du a te teval Δ t. Note that thee s o estcto coce the atue of the foce F,.e., t ca be echacal, electoaetc, etc. Fo exaple, we ca look o the oetu vaato Δ p as due to absopto o esso of electoaetc eey. I ths case, substtuto of Δ p=δe v=δe v( c c)( v v) =ΔE c to Eq. (1), ves 1 ΔE = = c By dvd Δ E ad 0 Eq. (4) by the volue V of the patcle, ad eebe that, Δ E V = W, we obta ( 4) 1 W = = ρ c whee ρ s the atte desty ( k ). Based o ths possblty, we have developed a ethod to eeate a epulsve avtatoal foce feld that ca stoly epel ateal patcles. I ode to descbe ths ethod we stat cosde fue 5, whch shows a set of sphecal avtatoal shelds, wth 1,,...,, espectvely. Whe these avtatoal sheld ae deactvated, the avty eeated s = Gs G 0s, whee 0 s s the total etal ass of the sphecal avtatoal shelds. Whe the syste s actved, the avtatoal ass becoes s = ( 1... ) 0s, ad the avty s ve by =... =... G 6 () 5 ( ) ( ) ( ) 1 1 0s Repulsve Gavtatoal Foce Feld Gavtatoal Shelds 1,,..., 0s F. 5 Repulsve Gavtatoal Feld Foce poduced by the Sphecal Gavtatoal Shelds (1,,, ). If we ake (... ) s Δx ' = 1,... = = 1,... G 0s / 1 eatve ( odd) the avty becoes epulsve, poduc a pessue p upo the atte aoud the sphee. Ths pessue ca be expessed by eas of the follow equato F 0( ) atte ρ( atte) SΔx p = = = = S S S ( atte) Δx ( 7) = ρ Substtuto of Eq. (6) to Eq. (7), ves (... ) ( ) Δx( G ) ( 8) p = ρ 1 atte 0s If the atte aoud the sphee s oly the 5 atosphec a ( p a = N. ), the, ode to expel all the atosphec a fo the sde the belt wth Δx - thckess (See F. 5), we ust have p > p a. Ths eques that pa ( 1... ) > () 9 ρ ( atte ) ΔxG 0s Satsfed ths codto, all the atte s expelled fo ths eo, except the

5 Cotuous Uvesal Flud (CUF), whch 7 desty s ρ CUF 10 k. [ 7]. The desty of the Uvesal Quatu Flud s clealy ot ufo alo the Uvese. At supecopessed state, t ves o to the kow atte (quaks, electos, potos, eutos, etc). Thus, the avtatoal ass ases wth the supecopesso state. At the oal state (fee space, fa fo atte), the local etal ass of Uvesal Quatu Flud does ot eeate avtatoal ass,.e., = 0. Howeve, f soe bodes ae placed the ehbohoods, the ths value wll becoe eate tha zeo, due to poxty effect, ad the avtatoal ass wll have a o-ull value. Ths s the case of the eo wth Δx - thckess,.e., spte of all the atte be expelled fo the eo, ea place just the Uvesal Quatu Flud, the poxty of ehbo atte akes oull the avtatoal ass of ths eo, but exteely close to zeo, such way that, the value of = 0 s also exteely close to zeo ( 0 s the etal ass of the Uvesal Quatu Flud the etoed eo). Aothe potat equatos obtaed the quatzato theoy of avty s the ew expesso fo the oetu q ad avtatoal eey of a patcle wth avtatoal ass M ad velocty v, whch s ve by [ ] q M v 10 whee M Eq.(1),.e., = ( ) M c ( 11) E = = 1 v c ; s ve by =. Thus, we ca wte M = = M ( 1) 1 v c Substtuto of Eq. (1) to Eq. (11) ad Eq. (10) ves E = M c v h q = M v = c λ Fo v = c, the oetu ad the eey of the patcle becoe fte. Ths eas that a ( 1) ( 14) patcle wth o-ull ass caot tavel wth the lht speed. Howeve, Relatvstc Mechacs thee ae patcles wth ull ass that tavel wth the lht speed. Fo these patcles, Eq. (14) ves q = h λ Note that oly fo = 1 4 ( 15) the Eq. (15) s educed to the well=kow expessos of DeBole ( q = h λ). Sce the facto ca be stoly educed ude ceta ccustaces (See Eq.(1)), the accod to the Eqs. (1) ad (14), the avtatoal eey ad the oetu of a patcle ca also be stoly educed. I the case of the eo wth Δx - thckess, whee s exteely close to zeo, the avtatoal eey ad the oetu of the ateal patcles ad photos becoe pactcally ull. By ullfy the avtatoal eey ad the oetu of the patcles ad photos, clud the faed ae, ths foce feld ca wok as a pefect theal sulato. Ths eas that, a spacecaft wth ths foce feld aoud t, caot be affected by ay exteal tepeatue ad, ths way, t ca eve peetate (ad to ext) the Su wthout be daaed o to cause the death of the cew. The epulsve foce feld ca also wok as a fcto educe wth the atosphee (betwee a aeoave ad the atosphee), whch allows tavel wth vey hh veloctes thouh the atosphee wthout oveheat the aeoave. Cosde Eq. (8), fo p = p a at = 6, we ca wte that 6pa ( 1... ) = ( 16) Δxρ ( atte) GM0s The avtatoal shelds ( 1,,.., ) ca be ade vey th, such way that the total etal ass of the, fo exaple the case of s 4. 9, ca be assued as M 0 s 5000k. Thus, fo Δ x = 1 ad ρ ( atte ) = 1.k., Eq. (16) ves = By ak 1 = =... =, the, fo = 7, we obta the follow value ( ) ( ) 1 = =... = 7 = ( )

6 It s elatvely easy to buld the set of sphecal avtatoal shelds wth these values. Fst we ust choose a coveet ateal, wth desty ρ ad efacto dex, such way that, by apply a electoaetc feld E suffcet tese ( W = ε E 0 ), we ca obta, accod to Eq. (5), the values ve by Eq. (). Sce the eo wth Δx - thckess, the value of s exteely close to zeo, we ca coclude that the avtatoal ass of the spacecaft, whch s ve by s = ( 1... ) 0s, becoes vey sall. Ths akes possble to the spacecaft acque sto acceleatos, eve whe subjected to sall thusts ( a = F s )[]. O the othe had, wth a sall avtatoal ass, the weht of the spacecaft wll be also sall. Note that the Gavtatoal Repulsve Foce Feld aeates ew possbltes to the Gavtatoal Spacecaft, pevously poposed [8], whle show that the pefoace of ths spacecaft oes uch beyod the covetoal spacecafts. 5

7 Refeeces 6 [1] Hs, P. W. (1966) Phys. Rev. 145, [] CERN (01) Obsevato of a ew boso at a ass of 15 GeV wth the CMS expeet at the LHC, Phys. Lett. B 716 (01) 0. [] De Aquo, F. (010) Matheatcal Foudatos of the Relatvstc Theoy of Quatu Gavty, Pacfc Joual of Scece ad Techoloy, 11 (1), pp [4] De Aquo, F. (008) Pocess ad Devce fo Cotoll the Locally the Gavtatoal Mass ad the Gavty Acceleato, BR Patet Nube: PI , July 1, 008. [5] De Aquo, F. (010) Gavty Cotol by eas of Electoaetc Feld thouh Gas at Ulta-Low Pessue, Pacfc Joual of Scece ad Techoloy, 11() Novebe 010, pp , Physcs/ [6] Modaese, G., (1996), Updat the Theoetcal Aalyss of the Weak Gavtatoal Sheld Expeet, sup-co/ v. [7] De Aquo, F. (011) The Uvesal Quatu Flud, [8] De Aquo, F. (1998) The Gavtatoal Spacecaft, Electc Spacecaft Joual (USA) Volue 7, Decebe 1998 (Fst Veso), pp