Journal of Theoretics Vol.4-4

Transcription

1 Journal of Theoretis ol.4-4 Cherenko s Partiles as Magnetons Dipl. Ing. Andrija Radoić Nike Strugara 3a, 3 Beograd, Yugoslaia Eail: andrijar@eunet.yu Abstrat: The artile will show that the forula for Cherenko s radiation an be learly deried fro Speial Relatiity Theory although the speeds of partiles surpass the speed of light. It indiates that Speial Relatiity Theory is able to desribe the dynais of faster-thanlight harged partiles. If it is orret that suh faster-than-light partiles ust hae iaginary alues for their eletrostati harges, then they ust be true agnetons. Keywords: agneti onopole, agneton, faster-than-light partiles. Introdution The onsideration of faster-than-light (FTL) partiles ia forulas of the onseration law of oentu and ass dilatation fro Speial Relatiity Theory gies the exat Cherenko s effet equation for angle of the photons radiation. If we aept the eletroagneti rule that agneti field an be desribed as the iaginary part of an eletroagneti (EM) field and also as the iaginary part of Maxwell s equation, then the diret appliation of the equations that already yield the orret forula for Cherenko s effet on the harge of a Cherenko partile results in the onlusion, that Cherenko s partile is a agneti onopole, i.e., the agneton. Magnetons & Tahyons It will be shown in the text below that a Cherenko partile is a agneti onopole. The field an be generally assorted on the diaauu and paraauu fields. The diaauu fields rejet the auu (spae without the field) fro the soure, and the paraauu fields attrat the auu (or the objet without the field) to the soure. Thus the eletrostati field attrats the auu to pole, and agneti and graitational field rejets the auu fro the soure (Meissner effet). where are: p k t p The general equation of the poles attration an be desribed by the next forula: r i δ x,y ( p ( + δ ) p + ( ( δ ),t p,t p F k (), r quantity alue of the pole harge, onstant of the field, type of field and it is or : the is alue for eletrostati, and the is alue for the agneti and graitational fields, radius between poles, -, i.e. iaginary unit,, x y, x y

2 The Arhiedes fore forula an be deried fro the fore of the repulsion of globe without the field fro the pole: ( + δ ) p,t p k du r F P ds P d d d 8 π k S i.e.: d + r t Ln p p ( ) r ( d + r ) d r F k 4 d ( d r ) d Where are: p the harge of the field s pole, t p type of the field, t p [, ], d the distane fro the enter of auu globe to field s pole, r radius of the auu globe. d (), (3). This forula shows that the fields whose poles of the sae sign are in attration repulse the auu, and the fields that hae attration of the different sign poles attrat the auu. By the aboe deonstration is shown that the physial fields behae oplex in the atheatis sense. By onsideration of equation () is onluded that the interation between iaginary (t p ) and real fields (t p ), gies the iaginary fore that perfors iaginary work. These fores are known as onseratie fores and the ain harateristi of these fores is that they are always perpendiular to the eloity etors (e. g. that is the ase between interation of the eletri field (i. e. pole) and the agneti field. Pf θ P P etor desription of the Cherenko radiation. A tahyon is a partile that is faster than light and it has oplex alue of the pole harge whereby these presuptions gie a orret forula of the Cherenko s effet: P While the next four relations are alid: + Pν P Pν COS ν ν ( ϕ) P + P + P P COS( θ) P ϕ (4). E - E ν E (5) Eν Pν (6)

3 P E Estat (7) E Estat P (8). With the diret inoleent of (5), (6), (7) and (8) in (4), the well-known forula for Cherenko radiation is obtained: ( ) COS( θ) ( ) Eν E (9), stat i.e. COS ( θ ) (). Fro the all of the aboe it an be onluded that Cherenko partiles are agnetons and that in agneti fields they will oe along the agneti field lines. It eans that wheneer a harged partile is oing faster than light, the onseratie (passie) fore of the agneti field beoes the atie fore that has an effet on the partile, hanging the kineti energy. θ is the angle of one in whih the partile s eletri field exists. The spae angle of field in the steradian is gien by the forula: The oeffiient of the spae oupation is defined by the forula: Ω π (). η Ω 4 π (). The ordinary partile has a spae oupation oeffiient equal to, but wheneer the partile is oing faster than light this oeffiient is less then. This pratially eans that fields of partile that oe slower than the light oupy the whole spae, and when it is oing faster then light its field oupies only the one and photons are eitted only on edge or surfae of the one, i.e. disontinuity ouple. The onfor transforation of whole spae into one spae an be found to deterine the distribution of field in the one. The ase of the relatiisti delination in eletri field is: a e E (3). If we assue that the inertial ass is onstant, and that the intensity of the interation with the field is only hanged, it an be aepted: e a E e (4). 3

4 The first ase: The seond ase: < F Q B (5). B > F Q (6). Conlusion Wheneer the agneton disharge a photon in opposite diretion of its otion, its speed and oentu dereases. That eans that the agneton has iaginary oentu. But, while the photon is a dialeti partile, whih has at one oent eletri field and in the other a agneti one, its oentu is in the oent of reation an iaginary one beause in that oent, the photon is agneti field beause it is radiated by the agneti partile. Thus the photon is the bridge between two worlds: tahyonian (iaginary) and ordinary (real) word. Between the two worlds an exist only the partiles that hae harateristis of the both worlds suh as photons. With generalization, it an be onluded that two agnetons hae the sae kind of fore as two graitational asses. Further generalization shows that these two also do not hae eletri fields fro the front sides of oeent. Proof that all of these things are alid is indiretly deried fro the proedure that gies the orret Cherenko forula with a little extension: if the orret Cherenko forula is obtained then the inertial ass and the eletrial harge are oplex ariables in atheatial sense. And if the inertial ass and eletrial harge are oplex ariables then the Cherenko partile is a agneton. Furtherore, the inertial behaior has to hae its origin in eletroagneti filed. Experiental testing is supreely siple and onsisted only of the obseration of the otion of the Cherenko partiles in the agneti field. If the hargeable partile starts oing towards agneto field lines, than it is a agneton (i.e. agneti harge): > F e B (7). But, if the partile is affeted by perpendiular agneti field lines, then the partile is still an eletron (i.e. eletri harge): < F e B (8). This study predits that the eletron would show features aording the forulas (7) and (8) when it was put in the agneti field, but not only with the forula (8) whih would be orret if the eletron did not beoe the agneton in eloities faster than the speed of light in the ediu that the partile is oing. If it is so, it ay hae great influene on old fusion theories beause it eans that a Chrenko partile does not hae an eletrostati field and thus it is able to penetrate diretly into the target nuleus without eletrostati interation, thereby ausing fusion. The lassifiation of fields ay hae great influene on antigraitation beause it eans that the eletrostati paraeters of a ediu hae great influene on the ehanial harateristis of a partile (i.e. inertia and inertial ass). If it is so, it eans that graitational waes oe fro the annihilation of the eletrostati fores (see referene.). If there is annihilation of the opposite poles then there is graitational pole, and if there is annihilation of the sae poles there is antigraitation. While Bose-Einstein ondensate ontains sae sign harged partiles it has to be soure of q 4

5 antigraitational poles and hae a graitational shield siilar to agneti field. Beause the Meissner effet, a graitational field has a positie fore and it is possible to be ake a deie that will pup a graitational field fro a partiular spae into the deie. It is siilar to a hot-air balloon that is flying beause the density of the air inside the balloon is less than that outside. When Bose-Einstein ouples are oing there are short paths behind the due to retarded fields. These paths are exposed to the Meissner fores ausing the antigraitational effet, whih has already notied and naed as the Podkletono effet. The fore ating on olue without the G field is gien by the following equation: g N F 36 (9). 3 π γ r earth It eans that 3 of auu (i.e. spae without G field) on the surfae of the Earth has the equialent anti-weight of 367 Kg. Weak graitational fields ould be used in teleouniations and the ipleentation of a strong graitational field in the onstrution of a hot-fusion deie akes the onstrution ore siple than the one presently used by the eletroagneti Toaas. Referenes. Andrija Radoi, Alternatie Soures of Medial Radiations, Belgrade Uniersity, F. C. Witteborn, W. M. Fairbank, Phys Re. Lett., 9:49 (967). Journal Hoe Page Journal of Theoretis, In. 5