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V.N.Barykin Mathematical aspects of subnuclear light structure Introduction Model source The historical introduction on structure of particles of light (Newton, Einstein, Thompson). Experiments ; Base model elements The dynamic model of the relativistic effects without special relativity theory. The decision of a Hilbert problem on physical models mathematical structure. Dynamic approach The decision of Dirac problem: the proof of classical electrodynamics incompleteness. The decision of Einstein-Hertz problem: Galilean invariant electrodynamics. Model substantiation Spinor form of moving media electrodynamics. Structural model of light. Structural model The precharges concept. Elon and prolon concept. Notons - atoms of light. Energy calculation of light particles and its components Experiments on light structure Newton's mechanical model Light is set of small particles, in coordination moving one after another, revolting thus the thin matter named an aether. Nonmechanical Einstein model The electromagnetic field creates the portions of energy named quanta. It’s energy is proportional to frequency E h The formula is not deduced from light theory. Thompson mechanical model 2 2 r ` e E 8 2 p . b 0c 0 c . 2r r p , b E h Conceptions Noton conception Following Newton and Thomson we will prove the point of view that light is ensemble of the moving particles having components. We name it notons, distinguishing from quazyparticles – photons. Model elements It is necessary to establish, of what atoms of light, what parametres of their components as they co-operate and move rather each other consist. Structureless photon properties The photon is massless, chargeless object. The photon is a point object on the properties and on interaction. Structural photon properties Photon as is similar to other elementary particles has quantum fluctuations of a field. It can have different conditions and the form of leptons, quarks, adrons, bozones etc. Preconditions for model At considerable energy levels photon can be materialised in Culon’s field as an elektronpositron pair ; e e Theoretical and practice attempts Hadron structure of gamma quantum Since 1960 till 1976 it has been found that the photon in the reactions shows internal structure. It is similar to internal hadron structure such processes probability proportional to the Wien constant. Photon additive components The first theoretical attempts to include the effects connected with photon additive components have been executed by Gribov (1969) and Brodsky S.J., J.Pumplin. – Phys. Rev. 1969. -182, 1794. Vector-meson dominant model prevailed in calculations Fujikawa K. – Phys. Rev. -1971. –D4, 2794, Sakurai J.J., Schildknecht D. – Phys. Lett. 1972a. –B40, 121, Braton A., Etim E., Grego M. – Phys. Lett. -1972. –B41, 609. Structural models of light ; Structure of the vacuum fluctuations connected with photons, are considered in “Photons under the microscope”, CERN Cour –1997. –37, N8.22. Partonic photon structure presented in Erdmann M. The partonic structure of the photon. // DESY [Rept.] –1996. –N090. –1-108. The model of real and virtual photons at the description of interaction is offered by Thomas A.W. // Nucl. Phys. A. –2000. p.663-664, p.249256. Structural models of light ; Preassimptotic universality in hadron and photon diffraction was shown in Trochin S.M., Tyurin N.E. // Phys. Rev. D. –1997. – 55, N1. p.7305-7306. Experimental and theoretical research of photon structure was resulted in the review Butterworth J.M. … Photon structure as seen at HERA. // ZEUS DESY (Repl.) –1995. –N43. p.1-20. Structural models of light ; Photon as the connected condition of two neutrinos with the exchange potential described by equation Bete-Salpeter, was considered by Sarkar Harish, Bhattacharye Brahmanande, Bandyopadhyay Pratul. – Phys. Rev. D.: Part. And Fields. –1975. –11, N4. p.935-938. Hadron structure for photon as two-pion components was presented in Yennie Donald R. – Revs. Mod. Phys. –1975. –47, N2. –311-330. New point of view Photons under the microscope //CERN Cour., 1997., v.37, №8, p.22 Physicists study photon structure //CERN Cour., 1999.,v.39, №7, p.11 Photon structure properties • R/ Nisius / Physics Repoirts 332 (2000) 165-317 . The photon structure from deep inelastic electron-positron scattering. • M. Krawczyk / Physics Repoirts 345(2001) 265-458. Survey of present data on photon structure function and resolved photon processes. (At this review 22 models of parton photon structure presented) Discussions about structure The First International Colloquium on collisions has taken place in Paris in 1973. In 2007 the International school on collisions has taken place already 17th. Discussions about structure The first review in which the concept of structure of light has been entered, connect with a name of Bauer T.H. and others, Rev.Mod.Phys. v.50, N2,1978 . Discussions about structure The international conferences of photons structure and interaction have started to be spent regularly since 1994. It well known as Photon 2001, 2003, 2005, 2007. New facts and new circumstances V.N.Barykin 1970-1993. A series of HMTI pre-prints. Articles in “High education physics” magazine. Monography “Lectures on electrodynamics and the theory of a relativity without restriction of speed” (1993, first edition), М (2004, second edition). V.N.Barykin 2001-2005. Monography “Atom of light”, 2001. Monography “New physics of light”, 2003. Monography “Maxwell electrodynamics without Einstein's relativity”, 2005. Series of articles in “Galilean Electrodynamics” magazine, 20022005. V.N.Barykin 2005-2009. Monography “Transfinitive relativity theory”, 2007. Monography “New concept of light”, 2009. Hertz concept 1 B 1 rotE rot B u , divB 0, c t c 1 D 1 1 rotH j rot D u u divD , c t c c divD , D E , B H . It not be co-ordinated with experiment ; Some new circumstances w 1 exp[ P0 (n 1)] u u D w H E B , c c u u B w E H D . c c u in / c u in (1 w)u fx wu m P0 7 10 4 Maxwell equations , , , , , , 1 B E B 0 c t 1 D H 4 j D 4 c t c , , . ; Some new circumstances Let's receive expression for speed ck w vg 1 u fs (1 w) wu m n k n2 We have the decision of Dirac problem. We have the decision of Einstein-Hertz problem . Some new facts Dynamic behaviour of speeds and frequencies in that specific case: 1 2 2 2 u u fs fs 0 1 w 2 2 , c c w 2 w 1 w 2 . 1 Radiation extends from space in Earth atmosphere. Some new facts Qualitatively new results at the speeds close to a velocity of light in 2 u vacuum. 1 2 0 c 1 1 u2 2 u2 1 1 2 2 1 2 2 c c n 1 Q, 2Q Q 2 , Q 3 10 4. . Light structure approach Light structure Let's enter four typical precharges: , , , Light structure Base products we will consider precharges connected among themselves as power lines. Elon and Prolon Elon is neutral system from electric precharges pair. Prolon – is neutral system from gravitational precharges pair. Baron A1 A2 Hmn * D * B H * * E Fmn c n Motion in light particles Elon rotates round a prolon P Q R Coordination with experiment E 0 H v Electric precharges Gravitational precharges D.D.Thomson's mechanical model 2 2 r ` e E 8 2 p . b 0c 0 c . 2r r p , b E h D.D.Thomson's calculation For energy of a power tube he used deduced then the formula E 2f 2V . Polarisation calculated under the formula f S f b 2 p e. External radius of a power tube ring we will designate r, and section radius - b Precharges model We use for energy of a power tube the 2 formula E 2f V . Other parametres it is described on Thomson. We consider light particle as a linear molecule of their precharges on Thomson's model. In the centre it is had prolon’s. Conclusion ; Conclusion Light particles are created from pramatter. The characteristic sizes of components for light particles an order of Planck lengths. Energy of a light particle develops of separate blocks energy. E N ( ) N ; Conclusion Infra-red accident is impossible: the minimum particle of light not a dot. Ultra-violet accident is impossible: separate blocks of light attach others to themselves at the expense of final number of power lines. From final particles of light can it will turn out only final elementary particles. Thank You Viktor N.Barykin +375(29)706-2508 [email protected]