Scientists have been engaging on wireless technology development after the great Hertz experiment, no one can verify the Maxwell electric model while no other electric model can be referred. Now as long as the three disputes are concerned, the Maxwell electric model has to be further verified. Einstein’s unsymmetrical space based on Maxwell curl theory has been attracting our more and more concerns and doubts.

This chapter makes deep discussion of Maxwell’s two curl equations. In order to make an end to the reason-result dispute between Lenz and Faraday, Maxwell assumed induced electric field was produced in free space and calculated it on the curling value, that is curl×E=-dB/dt, then utilized Faraday’s static barrel experiment to the whole free space and assumed displacement current from ether’s electric torsion and tensile force, the displacement current then spreads into the free space in different direction and produced magnetic field. Curling change to the Ampere’s circuital law for the equationcurl×H=J, Green theory was adopted to curving Ampere’s circuital law for equation curl×H=J _D, Poisson equation can calculate the above equations to deduce curl×H=J ＋J_D, the deduction bridge assumption is continuous current in free space.

First, the uniform magnetic field is moving together with the earth, no induced electric field exists in the free space. The magnet is moving with train, and no induced electric field is generated in the free space. When the magnet is moving and the coil keeps fixed, the induced electronic field can not be produced in the free space. The accurate description is the metal electron drift in conductor by the Lorentz force F=qv_q×B or F= q(-V_B) ×B can make induced voltage dU=(-Idl)/0s (Ohm\'s law) and induced electric field dE=dU/dL (electric field definition). The induced electric field results from metal electron drift only existing in conductor, no induced electric field is not in free space outside the conductor. Maxwell curl theory can not give complete interpretation to the electromagnetic induction, while the general Lorentz magnetic force can.

Second, Maxwell’s curling change (curl×H=J) to Ampere’s circuital law by Stokes\' theory is limited its application to internal conductor but outside conductor. The differential calculation to Ampere’s circuital law is only applicable in internal conductor because the H(r)=rI/2pa² in internal conductor is satisfied to Stokes\' theory condition while the H(r)=I/2pr in external conductor does not meet the conditions of Stokes\' theory. So the curling change in free space is a mistake.

Third, Maxwell utilized Green theory into capacitance circuit, the surrounding-line integral calculation to conducting wire was changed into curved surface integral calculation to capacitance electric field, and it seems that the timing electric field in capacitance results in the magnetic field. But the Green theory application condition is that a first-order continuous derivative is required for integrand between boundary line and integral faces. The integral path can be changed if the above conditions can be met. The Ampere’s circuital law outside the conductor is not suitable for the application condition, so I_D=I is equivalent to capacitance short circuit which is unconfirmed with electric charge accumulation. So the curving change is a mistake.

Fourth, Maxwell adopted J and J_D in one equation, and made derivative by time to Poisson equation, then applied dp/dt=e0 scat.dE/dt) to the whole free space. According to the modern metal electronic theory, Poisson equation is applicable in the internal but not outside the conductor, which means dp(0)/dt at the source point, is not equivalent to the e0curl×(dE/dt) in free space. Someone assumes e0 scat.(dE/dt) to be the space field, and dp(0)/dt to be the field source, but scat.J(0)=-dp(0)/dt can be deduced into scat.J(0)=-e0 scat.(dE(r)/dt) or J(0)=-e0(dE(r)/dt), this means J(0) at the source point produces -e0 (dE(r)/dt) in the space, which is unconfirmed with curl equations. So it is a mistake for Maxwell to apply field equation in field with source to the free space, and the equations changing is not reasonable. [the mathematics formula seeing picture in HOME]