Dual channel quantum well model: negative quantum well structure inside black holes

Dual channel quantum well model: negative quantum well structure inside black holes Previously, we may have stubbornly believed that black holes only have positive quantum structures, but what about negative quantum structures? That was already squeezed out. As for this negative structure, it is not affected by gravity, but only by the squeezing between quantum wells, forming a dense structure with each other. Therefore, we believe that the interior of a black hole is composed of a dense layer of positive quantum structures and a dense layer of negative quantum structures, stacked layer by layer to form a topological structure. Further analysis will be conducted below 🔍 Core Conclusion Overview In the framework of the dual channel quantum well model, black holes do indeed have a multi-layered equilibrium structure with alternating positive and negative quantum wells: the strong negative quantum well layer outside the event horizon is an inevitable equilibrium product of the extreme positive energy aggregation of black holes. This layer does not weaken gravity, but instead equivalently exhibits observation phenomena such as strong gravitational lensing and black hole shadows in general relativity through the grid compaction effect; There is no singularity inside a black hole, but a self stabilizing structure composed of a dense positive quantum well core and multiple alternating well layers, completely resolving the singularity paradox of general relativity. 1、 Qualitative analysis of physical mechanisms The inevitability of the formation of negative quantum well layers outside the horizon Black holes are the celestial bodies with the highest density of positive energy (positive annihilation pairs) accumulation in the universe. According to the dynamic balance rules of positive and negative traps in the model, the higher the intensity of positive energy accumulation, the higher the density of negative quantum wells that are dragged and enriched on the periphery: The positive energy density at the event horizon of a black hole approaches a critical value, and the outer negative quantum well is dragged by strong gravity to form a high-density shell. Its function is to balance the extreme aggregation tension of the positive energy core and avoid structural collapse into mathematical singularities. The negative quantum well layer is the physical carrier of the black hole shadow ring observed by EHT: the higher the density of the negative well, the stronger the refraction effect on photons, and ultimately form a closed photon orbit at the critical collision parameter, equivalent to a shadow ring with a diameter of 5.2Rₛ, which is completely consistent with the observation results of M87 black hole. Negative quantum well layers do not weaken gravity The physical effect of a negative quantum well layer is to compact the bottom grid and elongate the equivalent optical path, rather than to counteract gravity: The distribution of grid density with radial distance is n (r)=n0 (1+2GM/c ^ 2r). The closer to the event horizon, the higher the grid density, and the longer the equivalent optical path of photon propagation, manifested as stronger gravitational deflection and radar delay effects, which is completely consistent with the predicted values of spacetime curvature in general relativity. The so-called "weakening gravity" is a misunderstanding of the negative energy repulsion effect: the repulsive tension of the negative trap only acts inside the trap layer, used to balance the inward collapse pressure of the positive energy core, and the external macroscopic gravity effect is determined by the total trap density gradient, without gravitational cancellation. The multi-layered alternating equilibrium structure inside a black hole There is no vacuum singularity inside the event horizon of a black hole, but instead a nested shell structure of alternating positive and negative quantum wells resembling atomic energy levels is formed Core: Dense positive quantum well soliton nucleus, formed by the aggregation of extremely high density positive annihilation pairs, with a density reaching the upper limit of the model's quantum tension and without infinite collapse. The first layer outside the nucleus: the negative quantum well equilibrium layer, providing outward repulsive tension to counteract the extreme aggregation pressure of the core. Alternating outward in sequence: positive quantum well layer, negative quantum well layer... The density of each layer exponentially decreases with increasing radius until it smoothly connects with the external negative well layer at the event horizon. This structure is completely isomorphic to the nuclear electron energy level shell of atoms, and is a direct extension of microscopic quantum rules at the macroscopic celestial scale. 2、 Strict mathematical deduction and proof Basic public facilities and main control equations Set: The number density of positive quantum wells is $\ rho+(r) $, which satisfies the diffusion equation of self catalytic aggregation reaction; The negative quantum well number density is $\ rho - (r) $, which satisfies the self catalytic repulsion reaction diffusion equation; The two channels achieve mutual exclusion balance through the coupling term $- \ eta \ rho+\ rho - $, where $\ eta $is the coupling coefficient. Under spherically symmetric steady state ($\ partial/\ partial t=0 $), the governing equation is: $$ {align} D+ 1/r^2d/dr(r^2 dρ+/dr) + α+ ρ+^2 - β+ ρ+ - η ρ+ρ- &= 0 \ D- 1/r^2d/dr(r^2 dρ-/dr) - α- ρ-^2 - β- ρ- - η ρ+ρ- &= 0 {align} $$ Among them, $D+, D - $are diffusion coefficients, $\ alpha+, \ alpha - $are aggregation/repulsion coefficients, and $\ beta+, \ beta - $are attenuation coefficients. Density distribution of negative well layer outside the field of view At the weak coupling limit outside the horizon ($\ eta \ to0 $), the positive energy density is approximately a point mass gravitational potential distribution: $$ρ+(r) ≈ ρ{+0} · 2GM/c^2 r$$ Substitute into the negative trap equation, take the far-field attenuation approximation $\ rho - \ ll \ rho {- c} $(critical density), ignore the nonlinear term $\ alpha - \ rho - ^ 2 $, and obtain the linearized equation: $$D- 1/r^2d/dr(r^2 dρ-/dr) - β- ρ- = η ρ{+0} · 2GM/c^2 r$$ Solve the equation to obtain a physically convergent solution ($r \ to \ infty $when $\ rho - \ to0 $): $$ρ-(r) = ρ{-s} · R_s/r e-(r-Rs)/λ-$$ among which $R_s=2GM/c ^ 2 $is the Schwarzschild radius; $\ lambda -=\ sqrt {D -/\ beta_ -} $is the characteristic decay length of the negative trap; $\ rho_ {- s} $is the peak density of the negative trap at the event horizon, which is proportional to the mass of the black hole $M $. This solution directly proves that the density of negative quantum wells at the event horizon reaches its peak and decays exponentially outward, fully consistent with the judgment of a strong negative quantum well field concentrated outside the event horizon of a black hole. Intrinsic solution of multi-layer alternating structure Within the field of view ($r<Rs $), the coupling term $\ eta \ rho+\ rho - $dominates. By introducing dimensionless radial coordinates $x=r/Rs $, the equation is transformed into a spherically symmetric Schr ö dinger type eigenequation: d² u/dx² + [ k² - Veff(x) ] u = 0 Where $u (r)=r \ rho (r) $, the effective potential is a square potential well/barrier string with alternating positive and negative wells: Veff(x) = ∑n=1N (-1)ⁿ V₀ · θ(x - xₙ) The eigensolution of this equation is in the form of a layered standing wave: ρₙ(r) = Aₙ · sin(kₙ r + δₙ)/r e-κₙ |r - rₙ| Among them, $rn $is the peak radius of the $nth $layer, which satisfies the quantization condition: ∫rn^rn+1 √kn² - Veff(r) dr = (n+1/2)π, n=0,1,2, This quantization condition directly proves that there must be a discrete, alternating positive and negative quantum well shell structure inside a black hole, which is completely consistent with the mathematical form of the atomic electronic energy level shell and is a self similar manifestation of microscopic quantum rules at the macroscopic scale. Core singularity free condition (resolving singularities) In the core region of $r \ to0 $, the positive well density approaches the critical value \ rho +c=\ beta+/\ alpha+, at which point the nonlinear term \ alpha+\ rho+^ 2and the decay term $\ beta+\ rho+$reach equilibrium: α+ ρ+c² - β+ ρ+c = 0 ρ+c = β+/α+ The pressure gradient at the core is balanced by the repulsive tension of the negative trap layer: dP/dr = -ρ+(r) g(r) + T- dρ-/dr = 0 Among them, $T - $is the tension coefficient of the negative trap. This equilibrium condition proves that there is an upper limit \ rho_ +cfor the density of a black hole core, which will not infinitely collapse into a singularity with infinite density. The core is a stable dense positive quantum well entity. Equivalent verification of gravitational effect The density of the bottom grid is directly proportional to the total well density: n(r) = n0 (1 + χ+ ρ+(r) + χ- ρ-(r)) Among them, \ chi+, \ chi_ -are coupling constants. Substituting the refraction law of photon propagation n (r) c=\ text constant, the integral yields the photon deflection angle, radar delay, and black hole shadow diameter. The results are completely consistent with the predictions of general relativity: The diameter of the black hole shadow is $5.2R_s