The mechanism of the contradiction between two different objects u and v is attributed to a mechanism that their opposite position information “xu” and “xv” of u and v are transmitted, respectively, from the initial time t0 , at different speeds x˙u(t) and x˙v(t)(x˙v=−ςx˙u(t)), and is meeting at the contradiction point t=tλ and x=xλ. Because the coordinate of contradiction point can be noted by zλ(tλ,xλ) and z∗λ(xλ,tλ) in two space time Complex Coordinates Systems which origins are zo(0t,0x) and z∗o(1t,1t), respectively, such that the time tλ and the position xλ of the contradictory points can be expressed as the sum of the complex numbers zλ(tλ,xλ) and its conjugate z¯λ(tλ,xλ):tλ=zλ(tλ,xλ)+z¯λ(tλ,xλ)=wλ(zλ,z¯λ), and the difference of z∗λ(xλ,tλ) and its conjugate: z¯∗λ(xλ,tλ):xλ=z∗λ(xλ,tλ)−z¯∗λ(xλ,tλ)=w∗λ(z∗λ,z¯∗λ). By synthesizing the time-space coordinate and the space-me coordinate, such their time axis [0t,1t] and the space axis [1x,0x] of the two complex coordinate systems are coincide with the intervals [u,v], respectively, then the contradiction point can be expressed in the synthesis Coordinate System to be a wave function: ψ(wλ,w∗λ)=tλ−ixλ=wλ−iw∗λ. Because of the varying direction of two information “xu” and “xv” and their increments Δxu(Δut)=x˙u(Δut)Δut and Δxv(Δvt)=x˙v(Δvt)Δvt with time t and increment Δt=t−0t are opposite each other, so the tλ of the wave function ψis on the time axis [0t,1t] and the xλ on the space axis [1x,0x], constructed a pair of information transmission streams entangled in opposite directions appear, such that the interval [u, v] constitutes a space-time conjugate entangled manifold. The invariance of the contradiction point or wave function ψ(wλ,w∗λ), under the unit scale transformation of time and distance measurement, not only make all points z(t,x)∈[u,v] is contradiction point, and makes λ=12 and ζ=λ1−λ It is also shown that since λ changes from 0 to 12 is equivalent to the integral for the on tλ and xλ in wave function ψ from 0 to 12, respectively, by it not only the inner product ψ of the ψ and the time component tλ, respectively ψ(w,w∗).tλ, and the outer product of ψ and the spatial component ψ(w,w∗)∧xλ can be get, but also their sum: ψ(w,w∗)⋅ψt+ψ(w,w∗)∧ψx can be gotten too.