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Conference Papers Year : 2020

The Conjugate Entangled Manifold of Space–Time Induced by the Law of Unity of Contradiction

Jiali Feng
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Jingjuan Feng
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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.
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Dates and versions

hal-03456973 , version 1 (30-11-2021)





Jiali Feng, Jingjuan Feng. The Conjugate Entangled Manifold of Space–Time Induced by the Law of Unity of Contradiction. 11th International Conference on Intelligent Information Processing (IIP), Jul 2020, Hangzhou, China. pp.86-98, ⟨10.1007/978-3-030-46931-3_9⟩. ⟨hal-03456973⟩
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