''Superluminal'' phenomena can be attributed to instantaneous tunneling of excitations in near field

Full Text:Recent new observations of superluminal transmission of photons afresh raised the discussions of problem of their reality and significance. The possibilities and conditions of such transferring are examined by the covariant theory of dispersion relations and are resulted into the THEOREM: Superluminal transfer of excitations (jumps) through the linear passive substance can been elected nothing but by the instantaneous tunneling of virtual particles on distances of order of half wavelength corresponding to energy, which is lacking to the nearest stable (resonance) state. The nonlocality of electromagnetic field must be describable via the 4-potential Amu, whereas electric and magnetic fields remain unconnected in the near zone. (The proof or its preliminary version in: M.E.Perel'man: gen-physics/ 0309123.) The experimental data can be interpreted on this base as the sequential processes of scattering of single photons. Their temporal distributions are estimated with taking into account durations of scattering: in optically thin media the usual statistical description is invalid and interpretation via the theory of scattering is required. So in the most known experiments of M.D.Stenner, D.L.Gauthier, M.A.Neifeld. Nature, 425, 696 (2003) the pulse (389 THz) on the entrance of gas cell of L = 40 cm length is J(t, x = 0; w) = JoI(t)I(w). The measured group refraction index ng = -19 and the duration of formation tau = -27 as, therefore the free path length is of order l = 40 cm and the probability of single scattering p(w) = exp(-L/l) = 0.37. Thereby for photons, which undergo not more than one scattering the intensity on the outlet J(t,x = L;wω) Jω(w){pI(L/c-(t,x=0;wI(L/c - |tau| +(1-p)I(L/c), i.e. the outlet must be represented by the sum of two Gaussians, initial and advanced. As the non-shifted peak must be twice bigger than advanced, the center of their envelope will be displaced into the side of speed c or even to c/n. And it possibly predefined the conclusions of Stenner e.a. But this experiment does not prove the absence of superluminal phenomena: its results can be explained by the differences between advancing of superluminal part of light pulse and regular speed of other part only: the problem of superluminal phenomena is not exhausted yet