Quantum geometrical phase signal of NLC bunch gross section carried by virtual photons

Richter(1989) pointed out that the final focus for NLC poses a very difficult challenge. The cross section of a bunch at the interaction point is about σ_xσ_y=60 nm*2 nm. It is too small to measure by EEE methods. Hence. The new conceptions of beam-beam deflection and inverse Compton gamma modulation are developing respectively at SLAC and KEK in the scope of orthodox quantum mechanics. Here we pointed out that the cross section information of bunch can be carried by the quantum geometrical phase of a test beam across the bunch which is modulated by the virtual photons of bunch. It is beyond the orthodox quantum mechanics, standard of IEC, ANSI, IEEE, GB and presented by EM potential [A, i√(ε₀ μ₀φ)] of bunch, The EM potential signals of unpolarized bunch signals have similar formula of σ_xσ_y=a_i² exp[P _iθ/N], where P_i=-P_m=-8h/μ₀e²v is a magnetic constant for rarefied bunch, P_i=P_e=4πε₀hc/e² is a electric constant for dense bunch. Since NLC beam is always polarized, the magnetic potential flux line of bunch spin are concentric circles surrounding the bunch axis. It can be measured remotely. Hence, σ _xσ_yσ_x=SH² N/θ, where S=3μ₀aμ_Be/32h=Constant, σ_x is bunch length, H is the distance of detection beam, θ is quantum geometrical phase, N is partical number of a bunch. If can be measured by electron, neutron or atom beam interferometers, including superconductive ring interferometers