发表机构
Universidad Simón Bolívar（西蒙玻利瓦尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究由真空纠缠熵与线性化引力推导得出几何分辨率极限，定义了全局质量标度，计算得无量纲因子α匹配电子基准，将质量作为真空几何与纠缠的探针，可用于探测轻于电子的粒子。
AI 中文摘要
我们证实，经弱时空曲率调控的电磁真空纠缠熵对量子激发的径向分辨率施加了一个基本下界。从真空纠缠的面积定律出发，我们证明线性化引力如何通过微扰格林函数引入自然的紫外调节器。切向到径向分辨率的精确几何投影给出最小径向尺度Δr_min ∝ r_s²/R，其中r_s是包围体的史瓦西半径，R是边界半径。我们分析粒子传播模式如何依赖康普顿波长λ_C与Δr_min的关系，证明一致性条件λ_C ≳ Δr_min定义了一个全局的、依赖环境的质量标度m_geo ≡ ℏR/(c r_s²)。实测粒子质量满足m = α m_geo，其中α是编码真空信息结构的无量纲因子。对于地球，m_geo ≈ 2.84×10⁻³² kg。我们通过曲率诱导模式密度偏移的谱分析从第一性原理确定α，采用Python框架实现，使用N=3000个径向网格点和n_modes=1000。计算得出α(2)≈33，自然匹配电子基准值（α≈32）且无可调参数。该框架将质量重新定义为由全局几何和纠缠设定的真空强加分辨率极限的探针。真空结构本身禁止在地球实验室测量质量轻于电子的经典粒子，确立纠缠熵为量子真空结构的可测量特征。
英文摘要
We establish that vacuum entanglement entropy, regulated by weak spacetime curvature, imposes a fundamental lower bound on radial resolution for quantum excitations. From the area law, weak gravity introduces a natural UV regulator via the perturbative Green's function. Geometric projection yields a minimal radial scale $Δr_{\min} \propto r_s^2/R$, where $r_s$ is the Schwarzschild radius and $R$ the boundary radius. Consistency with the Compton wavelength defines a global mass scale $m_{\text{geo}} \equiv \hbar R/(c r_s^2)$. Particle masses satisfy $m = αm_{\text{geo}}$, where $α$ encodes vacuum structure. For Earth, $m_{\text{geo}} \approx 2.84 \times 10^{-32}$ kg. We determine $α$ via spectral analysis of curvature-induced mode shifts, implemented in Python with $N=3000$ radial points and $n_{\text{modes}}=1000$. The calculation yields $α(2) \approx 33$, matching the electron benchmark without adjustable parameters, ruling out exponential ansätze in favor of slow power-law growth $α(l) \propto l^{1.27}$. Crucially, this resolution limit endows the quantum vacuum with the properties of a granular refractive medium. This elegantly explains a fundamental particle-wave asymmetry: massive excitations with $λ_C \ll Δr_{\min}$ propagate in the geometric optics limit, following macroscopic gradients as classical geodesics. Conversely, photons with $λ\ll Δr_{\min}$ interact directly with the medium's granularity, leading to phase decoherence and anomalous dispersion. This framework reframes mass as a probe of vacuum-imposed resolution limits, yielding distinct, falsifiable predictions for high-energy photon propagation.
Comments6 pages, 1 figure. Spectral calculation implemented in Python with SciPy, N=3000, n-modes= 1000
