Frequency Is Neither A Pole Or A Zero In Fran De Aquino's m g Equation Jerry E. Bayles April 10, 2000

Transcription

1 Frequency Is Nether A Ple Or A Zer In Frn De Aqun's g Equtn Jerry E Byles Aprl 0, 000 A cprtve nlyss the rgnl Frn De Aqun equtn r the electrgnetc rdtn U n prtcle wth the results "The Syste-G equtn Slver" by J-L Nudn s presented belw The nlyss shws tht the stteent by Frn De Aqun n pge, "The Syste-G r Frn De Aqun, Engneerng the devce," (shwn belw n equtn ), hs three equltes whch hve vrbles n bth the nuertr nd the denntrs U η P η S S S P η I S z µ p σ p σ p ) Snce there re vrbles n bth the nuertr nd the denntrs, n nlyss s perred n the expressn n the r rght n equtn t exne the rle requency Frst, hw t reltes t U nd then wth U slved, hw the nl equtn relted t g s ected by requency Wht s und s tht the g result equtn belw s nt ected by requency U c µ σ g c 4 π ) Fr the llwng clcultns the rgnl preters Frn De Aqun re stted belw (Fr the equtn slver by J-L Nudn) sec Velcty lght n ree spce c kg Inertl ss rn t g kg µ Grvttnl ss, prprtnlly reduced henry Mgnetc pereblty ree spce µ r 5000 Reltve pereblty pure rn then: µ µ r µ r, µ = henry seens Rdtn bsrptn requency σ 60 Hz jule sec Plnks cnstnt h

2 Frst, we slve syblclly r U s check n the densnl unts: g U c µ σ c 4 π ) hs slutn(s) c π µ σ 4 c π µ σ 4 g g 4) U c ps π µ σ 4 g 5) U ps = jule (Unts check k) U c neg π µ σ 4 g 6) U neg = jule (Unts check k) The hgh requency equvlent the tc energy bsrbed s: hgh U ps h hgh = Hz The result U syblclly shws tht bth pstve nd negtve energy slutn s pssble Alterntng the pstve nd negtve energy bsrptn nsures tht the energy s rectve nd des nt generte therl het except r resstve lsses whch ust be kept sll The sscted rectve hgh requency equvlent s ls nterest s ths s ptentlly nzng rdtn t were t be rdted s rel pwer nt pen spce rund the trus

3 Fr the purpse clcultng U, (the pwer bsrbed), the llwng s stted: (Fr "The Syste-G r Frn De Aqun, Engneerng the devce") Absrptn cecent Atc crss sect re Shell re bsrptn Mss trget t, (Irn) η S S kg Irn Pwder pereblty Cnductnce rn pwder Antenn length Shell pereblty, (pure nneled rn) µ p 75 µ σ p 0 seens z µ 5000 µ Cnductnce rn shell σ seens Current n ntenn Frequency Equv rd/sec I 00 p 60 Hz π = sec Then the pwer U n ech t bsrbed s: U S η I S z µ p σ p σ p 7) U = U jule = h Hz Plese nte tht U s sewht prprtnl t the requency bve We nw stte the equtn r the grvttnl ss relted t the nertl ss the test syste-g s gven by Frn De Aqun belw Then: g U c µ σ c 4 π 8) g = g kg rt = rt NOTE: Fr current zer ps, the g = bve

4 The n equtn (04) Frn De Aqun s presented belw r cprsn purpses 4 ε rd ε r µ r 5000 σ σ g U c ε r µ σ r ε 9) g = kg nd, g = Nte tht g nd g re ndeed equl n the utput wth the bve deult preters Input zer ps wll ls very tht the nertl nd grvttnl ss the rn t re equl I derent requency s nserted n the bve preters, the utput the g r g equtn des nt chnge Ths suggests tht the prcess ss chnge s nt relted t requences n the ELF rnge T very tht the utput the g r g equtn s ndependent requency, we nsert the expressn bve equl t U nt the g equtn nd use the Mthcd syblc slver t sply the expressn whch wll cncel equl ters n the nuertr nd denntr Nte tht the (4π) s equvlent t ( ) n the rgnl expressn r g Then: S η I S z µ p σ p σ g p c µ σ c 0) sples t g 9 S c 6 S c η 4 4 S I z µ p σ p µ σ ( S c) )

5 Plese nte tht the requency ter s n lnger present ndctng tht t hs cnceled ut A check s nw dne t see the spled equtn utput s crrect 5 g r: 9 S c 6 S c η 4 4 S I z µ p σ p µ σ ( S c) ) g = kg It ppers tht the equtn slver (Syste-G Slver by JL Nudn) y use the U vlue s gven n pge 6 Steve Burns pper ""Grvttnl Weght Reductn wth ELF EM Rdtn" ncrrectly by ssung tht the nuertr s cnstnt (See equtn belw) U η D S ) Fnlly, the energy bsrbed n crss sectnl re s lkely prprtnl t requency, nt nverse t t ( e, E = h ) It s nterest tht Frn De Aqun stted t e tht ny requency belw 00 Hz y be used n the G test whle hldng the ntenn length cnstnt t eters Ths suggests t e tht he y be wre ths null requency eect It ls sees t e tht snce the shell des nt het up nd there s lttle rdtn utsde the shell tht we re genertng huge stndng wve energy eld nsde the trus It s nterest tht equtn (7) bve hs slr ters n the current nd ntenn length s y equtn (8) n y recent pper, "ElecMssMCD", n y webste Ths s repeted belw n equtn (4) nt nt u 4 π l q d nt c 4) Ths y ber urther nspectn r pssble benet t ur cn reserch erts "The eld ust be bsrbed by the sheld" s stteent de by Frn De Aqun Plese nte tht the cndtn r stndng wve eld s stsed the chngng electrgnetc eld rund the eleents nvlved d n rdte s n cnventnl ntenn Further, the eld s essentlly rectve nd des nt cnsue pwer except r resstve lsses n the eleents Whle there y be current esured n the eleents s well s vltge, the current nd vltge re n the gnry dn nd therere n rel pwer s cnsued

6 6 Substtutng U (equtn (7)) nt equtn (9) nd then utlzng the Mthcd syblc syplyng unctn yelds the llwng results S η I S z µ p σ p σ g p c ε r µ σ r ε 5) sples t g 9 S c ε 6 S 4 c ε η 4 4 S I z µ p σ p ε r µ r ε σ η 4 4 S I z µ p σ p ε r µ r ε S c ε 6) π 0 Hz π 0 Hz π 00 Hz x 6 0 µ 5000 µ, k σ seens η ( ) e k x π µ σ π Wth new et per Frn De Aqun nd Steve Burns Wth et s unctn eg AND: S S g ( ) c ε 6 S 4 c ε η ( ) 4 4 S I z µ p σ p ε r µ r ε σ η ( ) 4 4 S I z µ p σ p ε r µ r ε S c ε ) g ( ) π Cpre wth g: g = kg The utput = t zer hertz s expected nd predcted by the prevus nlyss Als, the ect η s unctn sscted wth chngng requency s nl n the n equtn t hgher requences s shwn (Vlue g = rgnl nlyss)

7 7 It s urther nterest tht t hgher requences, η tends twrds whch s wht Frn De Aqun sttes n hs pper n-lne "The Syste-G r Frn De Aqun: Engneerng the devce" Or: η ( ) π I we re lkng r preter tht wll cuse the g t xze nversely prprtnl t se preter, then the equtns suggest tht reducng the re the trus (S) wll xze the resultnt ss reductn relted t g s shwn n equtn (7) where the trus re s reduced t 00 squre, t wll cuse g t ncrese lst 500 ld Als, the requency des nt see t be lted t belw 000 Hz n the bve nlyss (A 600 khz upper lt ws used bve r equtn (7) nd the result r g nd η ren lner wth ncresng requency) Further, n equtn (7), reducng the sheld thckness t creter wll cuse the g t g r ne ttrctn t ne repulsn wth the stndrd 074 test re the trus sheld trget Fnlly, gret nterest s the ct tht surrundng the ntenn wth pure rn nsted pwdered rn wll ncrese the -g by 7 rders gntude The result suggests tht rsng the requency (whch results n shrter ntenn length), plcng the ntenn n enclsure hgh pereblty nsted pwdered rn, rsng the cnductnce the rn ner the ntenn eleents nd kng the trus sheld re sller ll tend t ncrese the -g result n very drtc shn Usng nneled slcn rn sheets rund the ntenn eleent wuld help reduce eddy current lw The ntenn tsel wuld hve t be nsulted electrclly r the rn enclsure wth s thn lyer nsultn s s prctcl Ths wuld ensure gd eld cuplng t the rn The slwng the phse velcty wll cuse the grup velcty t exceed the velcty by the reltnshp Vg = c / Vp Tht whch exceeds the velcty lght wll nvlve the gnry dn, () The gnry dn s ls the dn purely rectve elds nd s ls the dn pure stndng wves whch re the cnsttunts quntu ss

8 8 Pge 5 hs slghtly derent lkng equtn r U thn the ne presented n pge "The Syste-G r Frn De Aqun - Engneerng the devce" nd s presented belw r nlyss Frst, the stteent r velcty s de s: (wthut the c ultpler s n p : whch s n errr) ε r ε µ p v nd: η S I z U σ p ε S ε r ε v σ ε nd urther, 8) Frst the v equtn s checked t see tht t wll yeld the velcty lght wth the crrect preters nd t s und t be crrect when the prper preters re nserted 9) ε r ε µ p v ( ) µ r = η = σ p ε σ 0 seens σ = seens (Nrlly tggled, test nly) (Actul vlue) ε r = ε = rd 0) µ = henry µ = henry µ p = henry Wth the stted preters, the phse velcty v s clculted t be: 500 v ( ) The chrt bve s n very gd greeent wth the Equtn Slver Jen Lus Nudn when the 60 Hz pnt s exned bve π

9 9 Then slvng r the energy U: NOTE: Multpler s per nte belw η ( ) S I z U ( ) S ε ε r v ( ) σ p ε ) U ( ) π Cprng ths wth the rgnl U: S U ( ) η ( ) I S z µ p σ p σ p ) U ( ) It s seen tht the tw chrts bve gree clsely wth ech ther nd ls the 'unts' checked k n bth U nd U nd bth equl jules NOTE: It s nterest tht U s exctly / U n clse exntn Usng U nsted U, the new Mg s clculted belw s g π U ( ) g ( ) c ε r µ σ r ε )

10 Thus: g ( ) And r g: π g ( ) The bve vlue grees very clsely wth the results r g, g nd g bve Fnlly, we derve the ttl weght lss Frn De Aqun's pprtus belw π rn densty 7874 kg Trus LrgeD 0640 Trus SllD 0065 Sheld Thckness Trus Sheld LrgeD Trus SllD Mss rn densty π π Sheld Thckness 4) Then: Sheld Mss = kg Multplyng the sheld ss by the rt equtn (8) prevus: Mss Neg Sheld Mss rt = r, Mss Neg kg 5) Addng ths t the ttl ss the experent where: Mss Ttl 5 kg Then: Mss New Mss Ttl Mss Neg r, Mss New = kg 6) Ths s very clse t the result btned wth the current Equtn Slver by Jen Lus Nudn

11 The nlyss Frn De Aqun's equtns s presented by Frn De Aqun, Jen Lus Nudn nd Steve Burns s surzed belw The "ntenn" des nt rdte s cnventnl ntenn rdtes but s expected t hve the eld energy the eleents ttlly bsrbed by the surrundng sheld The bsrbed energy n the sheld s where st the negtve ss eld s generted nd cntned Se y be cntned n the rn pwder surrundng the eleents the ntenn The ctn nsde the sheld s st lke stndng wve ctn nd the sheld nd nternl rn cnsttute rectve edu tht cnsues lttle rel pwer 4 The current n ech ppsng eleent wll lw n the se drectn reltve t ech ther t the se reltve lctn nsde the trus (Ths s due t the ct tht the eleents re wund cunter-drectnl but prllel t ech ther) Thus entu the eleent current s n the se drectn s the ther eleent s well s the rectve elds beng ddtve Wrppng the cnductrs rund ech ther wll nt serve t cncel nductnce n ths cse 5 The lss ss s NOT nversely prprtnl t requency s s presented by the Equtn Slver Jen Lus Nudn Ths ws denstrted by equtns (0), () nd () bve Rther, the test cngurtn, ccrdng t the equtns bve, s ble t generte stndng wve geetry wthut beng requency dependent The plts shw tht the negtve ss eect s lt wth respect t requency chnge 6 Wht DOES ect the g utput st s the current nd length the eleents n the (I z) expressn s relted t the eld nput energy (See eq & bve) Other preters tht ect the utput were dscussed n pge 7 prevus such s trus sze, etc In cnclusn, t s y sncere hpe tht the results s presented by Frn De Aqun cn be vered N ne wnts t see the wrld benet re r sethng lke ths thn yurs truly -- Jerry E Byles, Aprl 0, 000 Ω