The Near-Field Dense Neutral Quantum-Well Layer around Black Holes and the Mechanism of the "Direct Generation" of Matter

The Near-Field Dense Neutral Quantum-Well Layer around Black Holes and the Mechanism of the “Direct Generation” of Matter ——A Special-Topic Analysis Based on the “Dual-Channel Quantum-Well Annihilation-Field Model” (Black-Hole Matter Generation · Sequel) Self-Diffusion of Negative Annihilation Pairs, Self-Retention of Positive Annihilation Pairs, and Direct Nucleation at Nuclear-Density Magnitude Parent Paper: The Dual-Channel Quantum-Well Annihilation-Field Model — A Self-Consistent Derivation from Underlying Postulates to Macroscopic Phenomena Previous Two Papers: “Locking Mechanism of the Strong Interaction Force inside the Hydrogen Nucleus” and “The Matter-Generation Mechanism at the Front End of the Black-Hole Accretion Disk” Author: Lu Weihui October 2026 Note: This paper is a special-topic sequel to the parent paper. It does not introduce any additional assumptions and adopts throughout the parent paper’s Postulates I–VI and postulate-level laws L1–L5, following the parent paper’s format of “qualitative description—formula proof—verification condition.” This paper uses only the parent paper’s formulas and the simplest algebraic expressions, and borrows no ready-made external formulas. Correction Note: An early draft mistakenly wrote (4-2) as ρ_rem⁺ ∼ η·n_N·(m_N/m⁺)·(1/V_front); both its dimensions (an extra 1/V_front) and its derivation (each neutral quantum well leaves behind only one positive annihilation pair, so the retained number density is exactly η·n_N) fail to hold. This version has been corrected to ρ_rem⁺ ∼ η·n_N (in the sense of number density), and the phrase “front retention volume V_front” has been deleted from the relevant expressions. This note is given to avoid confusion in citations with the two companion special-topic papers. Contents Abstract Chapter 1 The Problem and the Scope of This Paper 1.1 The Questions to Be Answered 1.2 The Postulates and Laws Adopted in This Paper 1.3 Content Not Introduced Chapter 2 Why the Neutral Quantum Wells between a Black Hole and Its Accretion Disk Are Denser than Ordinary Vacuum 2.1 The Black Hole Modulates the Distribution of Negative Quantum Wells, Making the Local Spacetime Denser as a Whole 2.2 Neutral Quantum Wells Are “Entrained,” Not “Compressed” 2.3 Comparison of the Number of Neutral Quantum Wells per Unit Volume, n_N Chapter 3 The Accurate Mechanism of “Negative Quantum Wells Running Away” under High Pressure at Near-Light Speed 3.1 Decomposition of Neutral Quantum Wells 3.2 Why Negative Annihilation Pairs Diffuse Away: Autocatalytic Repulsion 3.3 Why Positive Annihilation Pairs Are Retained: Autocatalytic Aggregation 3.4 Not “Pressed Away,” but “Unable to Stay in the First Place” Chapter 4 Whether the Remaining Positive Quantum Wells Can Reach Nuclear Density: The Form of the Criterion 4.1 Equilibrium Density of Positive Quantum Wells 4.2 Density of the Positive Annihilation Pairs Remaining after Decomposition 4.3 The Criterion for Reaching Nuclear-Density Magnitude 4.4 Why the Remaining Density near a Black Hole Can Be Far Higher than in Ordinary Vacuum Chapter 5 The Two Conditions for “Directly Producing Stable Matter” 5.1 Condition One: The Density Condition 5.2 Condition Two: The Nucleation Condition 5.3 The Direct Consequence of the Two Conditions Being Satisfied Simultaneously Chapter 6 The Difference from Ordinary Vacuum 6.1 Item-by-Item Comparison 6.2 Why Matter Can Be “Directly Generated” near a Black Hole Chapter 7 The Energy Budget: Still Constrained by Black-Hole Gravitational Energy Supply 7.1 Energy Consumption of Decomposition and Nucleation 7.2 Gravitational Energy-Supply Rate 7.3 The Energy Constraint Chapter 8 Summary of Computable Quantities and Parameters To Be Calibrated Chapter 9 Testable Predictions, Boundaries, and Unsolved Problems Appendix A Correspondence between This Paper’s Formulas and the Parent Paper’s Numbering Appendix B Table of Key Wording Corrections Appendix C List of Testable Predictions Abstract Building on the previous paper, “The Matter-Generation Mechanism at the Front End of the Black-Hole Accretion Disk,” this paper pushes the picture one step further: the neutral quantum wells between a black hole and its accretion disk are themselves not “ordinary vacuum”—they are modulated by the black hole into a denser state (the number of neutral quantum wells per unit volume, n_N, is higher than in ordinary vacuum). Under such conditions of high pressure at near-light speed, after the neutral quantum wells are decomposed, the negative annihilation pairs diffuse away because of the autocatalytic repulsion of negative quantum wells in Postulate II of the parent paper, while the positive annihilation pairs are retained because of the autocatalytic aggregation of positive quantum wells; since n_N is high and the decomposition efficiency η is large, the residual positive quantum-well density ρ_rem⁺ may directly reach the magnitude of an atomic-nucleus density. As long as the density condition (ρ_rem⁺ ≳ ρ*⁺ = β⁺/α⁺) and the nucleation condition (S⁺ > (β⁺)²/α⁺) are satisfied simultaneously, these residual positive quantum wells are directly stable matter, without needing to slowly aggregate from a diffuse state as in the early universe. This is the same mechanism as the “in-situ nucleation” of the previous paper, intensified in a higher-density environment. This paper also corrects three easily misleading wordings: neutral quantum wells are not “compressed” but modulated by the black hole into a denser state and entrained into a denser distribution; negative quantum wells are not “pressed away,” but after decomposition the negative annihilation pairs diffuse away along the autocatalytic repulsion trend, which is “unable to stay in the first place”; and “compactness equal to that of an atomic nucleus” is a to-be-calibrated criterion (ρ_rem⁺ ≳ ρ_nuc⁺), not a ready-made conclusion. The whole paper still uses only the parent paper’s postulates and the simplest algebraic expressions, borrowing no ready-made external formulas; all numerical conclusions are marked as to be calibrated. Keywords: dense neutral quantum-well layer; autocatalytic diffusion and retention; nuclear-density magnitude; direct nucleation; black-hole gravitational energy supply; the Dual-Channel Quantum-Well Annihilation-Field Model