Electromagnetic Invisible Double Layer Cloak With Relative Parameters Not Less Than 1 and GL No Scattering Inversion Radial coordinate R in sphere coordinate can be negative in a negative space world

We have know the radial coordinate R is non negative in the polar coordinate since our middle school,the radial coordinate R is non negative in the sphere coordinate since our high school, and since our undergraduate university. Up to now, in all publications of EM, acoustic, and seismic wave modeling and inversion, the radial coordinate R is non negative. In this paper and my paper arXiv:1706.10147, first and surprise in the world, we propose that the radial coordinate R can be negative in 2D polar coordinate, in 3D and ND sphere coordinate in EM and Acoustic and Seismic Wave propagation modeling and Inversion. we discover that the radial variable in the sphere coordinate can be negative. The space in which the radial variable in the sphere coordinate is positive or zero is called positive space, that is real three dimensional space we are living. The space in which the radial variable in the sphere coordinate is negative is called negative space. The positive space is visible, but the negative space is invisible. In the acoustic equation in the sphere coordinate [32], radial electric wave equation and radial magnetic wave equation in the spherical coordinate [1] [31], if the radial variable R is changed to −R , the equations are invariant, if the acoustic wave field solution is u(R, θ, φ) , the u(−R, θ, φ) is also solution of the homogeneous acoustic equation. Similar, if radial electric field Er(R, θ, φ) and radial magnetic wave Hr(R, θ, φ) are solution of the radial electric and radial magnetic equations, then Er(−R, θ, φ) and Hr(−R, θ, φ) are also the solution of the homogeneous radial electric and radial magnetic equations respectively, Therefore the acoustic equation and radial electric and magnetic equations and their solutions in the sphere coordinate in the positive space with R ≥ 0 can be analytical continuation into the negative space with R < 0 . We give a definition that the world of the non negative spherical radial coordinate R is the positive world (”Yang Jian” in China), inversely, the world of the negative spherical radial coordinate R is the negative world (”Ying Jian” in China). The door between the positive and negative is the zero 0. In the normal sciences, the door 0 is closed. We proposed the radial transform GLHUANPI in this paper and GLHUANPII transformation in my paper arXiv:1706.10147 [33] to open the door and translate the negative space to the positive space. The detailed contents of the negative space is proposed in my paper arXiv:1706.10147 [33] No scattering is the zero scattering. Using GILD and GL no scattering modeling and inversion method, we find a class of the nonzero solution of the zero scattering nonlinear inversion equation and use it to create our GLHUA cloak. The nonzero solution of the zero scattering nonlinear inversion equation form more complicated infinite class than the nonzero solution of the linear operator equation. GLHUA cloak and GLLH cloak are different class of the nonzero solution of the zero scattering electromagnetic inversion, both is different from Pendry cloak. This paper is different from paper arXiv1005.3999 and is different from other cloak papers. In current general science, the visible natural science and invisible thinking and social science are main object. Inversely, the invisible natural science and visible thinking and social science are main object in a new novel super science. Our GLHUA practicable double layer cloak and Easton LaChappelles mind control robot hands show that the new novel super science is being born. In this paper, we discovered a class of GLHUA electromagnetic invisible double layer cloak with relative electromagnetic parameter not less than 1 for each layer, and each layer with any thickness. The major new ingredients in this paper are: (1) In the outer layer cloak R1 ≤ r ≤ R2 the relative radial electric permittivity and radial magnetic permeability equal to 1, the relative angular electric permittivity and magnetic permeability are εθ = εφ = μθ = μφ = 1 2 ((