万有引力常数的微观起源与对电磁—引力层级问题的解释 - Microscopic Origin of Gravitational Constant and Explanation for the EM-Gravity Hierarchy Problem

摘要 万有引力常数 G 的实验测量长期呈现不同装置与方法之间难以完全收敛的系统性差异。本文在热力学第二定律的自由能最小原则下,引入对原子与键合能的粗粒化引力元(Metagraviton, MG)表述,并在 引力纠缠笼(Gravitational Entanglement Cage, GEC)中将“纠缠定规”与“传能执行”区分为双通道框架。通过原子尺度载波加速度阈值 w₀ 与引力元尺度显影阈值 W₀ 的双阈值联动,并结合九门限给出的整数门限结构,本文给出双阈值筛选定理(Two-threshold Selection Theorem, TTST):在零场平衡(Zero-Field Equilibrium, ZFE)各向同性临界背景 χ → 0 下,存在唯一几何归一系数 K(0) = √3,从而得到经典临界常数: G₀ = √3 · (ħc / m_p²) · α¹⁸ 门限的强度标度通过精细结构常数 α 的整数幂来体现(单体为 α⁹,二体平方闭包给出 α¹⁸)。为 彻底排除 任何由材料组成、电中性约束或化学环境引入的隐含自由度,本文在所有主结果中统一采用 质子质量 m_p 作为基准质量标尺。任何与装置、环境或观测窗口有关的系统性偏差(包括电中性条件带来的有效质量重整),都不应进入无参闭式,而应下放到本文提出的“两因素外推归一法”的计量语境中处理。 在此基础上,本文进一步对 MG/TTST 框架给出 最小量子/开放系统扩展:我们不量子化时空本身,而仅将 MG 框架已使用的 物质侧结构(强度门限、粗粒化与 GEC 选择)写成线性量子对象。该扩展把经典推导中隐含的“RMS 归一 → 平均幅度”步骤显式化,引入普适因子 r(ν) = ⟨√I²⟩ / √(⟨I²⟩) ∈ (0,1],从而在开放系统测量语境下更自然地引入一个普适的削弱/跑动因子 r(ν) ≤ 1,用于把给定装置与观测窗口下的 有效参考点 与理想常数对接: G_iso = r(ν) · G₀ 需要强调:r(ν) 属于实验测量系统(装置+环境+采样窗口)的计量映射,不参与 理想极限下 G₀ 的推导;相反,任何实际测量都不可避免地包含各向同性破缺与 r(ν) 跑动,因此 G 的散布应被理解为对理想参考点 G₀ 的系统性偏离。关于 r(ν) 的独立约束与严格外推,仍有待实验物理学界在统一协议下进一步研究。 更进一步,本文把电磁—引力层级差异提升为无量纲闭合验算:由 α_G^(pp) ≡ G₀m_p² / (ħc) 立刻得到: α_G^(pp) = √3 · α¹⁸ 从而为“电--引为何差异巨大”的层级问题提供由九门限计数与二体平方闭包固定的离散幂次来源;而在具体实验测量语境下,若有效参考点满足 G_iso = r(ν)G₀,则相应的有效耦合为 α_(G,iso)^(pp) = r(ν)α_G^(pp),应在“外推归一”框架中理解。 最后,本文认为现阶段公布的 G 值仍可理解为在具体装置几何与环境各向异性下的测量值族 G_meas(χ);在量子扩展把各向同性极限值锁定到更可靠的参考点后,几何归一因子 K(χ) 的角色退居为 微弱但可证伪 的修正:G_meas(χ) ≈ K(χ)·G(或 η(χ) := K(χ)/K(0))。从开放系统视角,测量过程及其回作用也可能引入对测得 G 的极小偏移;理想情况下,这些偏移应由更微观的“器件—物质”模型推导,并转化为对 K(χ)(或 η(χ))的可计算预测。 本文立场: 不修改广义相对论(GR)或量子场论(QFT)既有的因果与守恒结构;上述离散闭合(ν)与弱几何修正(K(χ))共同构成可检验、可证伪的理论出口。 Abstract: Experimental measurements of the gravitational constant G have long exhibited systematic discrepancies between different apparatuses and methods that are difficult to fully reconcile. Guided by the principle of free-energy minimization under the second law of thermodynamics, we introduce a coarse-grained Metagraviton (MG) formulation for atoms and binding energies. Within a Gravitational Entanglement Cage (GEC), we separate "entanglement regulation" from "energy-transmission execution" as a dual-channel framework. Via a dual-threshold linkage between an atomic-scale carrier acceleration w₀ and a metagraviton-scale revelation threshold W₀, together with the integer threshold structure implied by the Nine Gates, we formulate the Two-Threshold Selection Theorem (TTST): under the Zero-Field Equilibrium (ZFE) isotropic critical background χ → 0, there exists a unique geometric normalization coefficient K(0) = √3, yielding the classical critical value: G₀ = √3 · (ħc / m_p²) · α¹⁸ The intensity scaling is encoded in integer powers of the fine-structure constant α (α⁹ for a single body, and the two-body square closure α¹⁸). To eliminate any composition-dependent degrees of freedom and avoid any post hoc numerical alignment, we use the proton mass (m_p) as the baseline mass scale throughout the main results. Any apparatus-, environment-, or sampling-window-dependent deviations are treated only at the metrological level via the proposed two-factor extrapolation/normalization scheme, rather than being absorbed into the closed-form expression for G₀. We then extend the framework with a minimal quantum/open-system completion: rather than quantizing spacetime, we quantize only the matter-side structures already implicit in MG (threshold intensity, coarse graining, and GEC selection) in a linear, state-independent form. This makes explicit the RMS → mean step and inserts the universal factor r(ν) = ⟨√I²⟩ / √(⟨I²⟩) ∈ (0,1], so in an open-system measurement context one may parameterize an effective reference point as: G_iso = r(ν) · G₀ where r(ν) ≤ 1 is an apparatus/environment/window dependent mapping factor. We do not fix ν here and do not use r(ν) as an after-the-fact knob for numerical alignment; instead, ν (and thus r(ν)) should be independently constrained under a unified experimental protocol in future work. The same closed form turns the EM–gravity hierarchy into a dimensionless closure check. From α_G^(pp) ≡ G₀m_p² / (ħc), we obtain: α_G^(pp) = √3 · r(ν) · α¹⁸ (Proton-scale limit m → m_p: α_G^(pp) = √3 · α¹⁸), so the dominant suppression remains the discrete α¹⁸ dictated by Nine-Gates counting and two-body closure. Finally, we view currently published values as a family of measurements G_meas(χ) taken under specific apparatus geometries and environmental anisotropies. After the quantum refinement locks the isotropic value at the high-precision level, the geometric/anisotropy factor K(χ) is relegated to a weak but falsifiable correction: G_meas(χ) ≈ K(χ)·G (or η(χ) := K(χ)/K(0)). From an open-system viewpoint, the measurement interaction and its back-action may also induce tiny shifts relative to the underlying universal value; ideally such effects should be derived from a microscopic apparatus–matter model and translated into a calculable prediction for K(χ). Stance of this paper: we do not modify the existing causal and conservation structures of General Relativity (GR) or Quantum Field Theory (QFT); the discrete closure (through ν) and the residual K(χ) dependence provide explicit, testable failure modes. Additional Information and disclaimer: The original was written in chinese. The ideas, names and postulates are from the human authors. AI helped with formatting and doing some of the calculations, and AI translated the original chinese paper into english, which is also added.