A Universal Information-Capacity Bound Governing the Structure and Stability of Finite Quantum Systems

We present a universal information-capacity bound (UICB) that constrains the structural complexity and stability of finite quantum systems independently of their microscopic dynamics. Based on an operator-algebraic formulation using C*-algebras and the CCR/Weyl algebra, the bound establishes a maximal admissible information load I_max, limiting the internal relational complexity of any finite quantum configuration. When the structural complexity C_phys approaches this threshold, the system becomes unstable or ceases to admit a consistent quantum state, providing a unified explanation for collapse phenomena, fragmentation, and drip-line behavior. The UICB yields concrete, falsifiable predictions across several domains: (i) termination of neutron drip-lines in medium and heavy nuclei, (ii) collapse thresholds in bosonic condensates, (iii) saturation of configurational complexity in amorphous solids, and (iv) limits on global entanglement growth in quantum networks. These predictions offer experimentally testable signatures for validating or refuting the universality of the bound. This work proposes a structural, model-independent constraint that complements and extends existing theoretical frameworks in nuclear physics, many-body quantum systems, and quantum information theory.本研究提出了一种普适信息容量约束（universal information-capacity bound, UICB），该约束可在不依赖微观动力学的前提下，限制有限量子系统的结构复杂度与稳定性。该约束基于采用C*代数（C*-algebras）与正则对易关系/外尔代数（CCR/Weyl algebra）的算子代数表述，定义了最大可容许信息负载$I_{ ext{max}}$，以此限制任意有限量子构型的内部关联复杂度。当物理结构复杂度$C_{ ext{phys}}$趋近该阈值时，系统将变得不稳定，或无法再维持自洽的量子态，这为塌缩现象、碎裂现象与滴线行为提供了统一解释。 该UICB可在多个领域给出具体且可证伪的预测：(i) 中重原子核内中子滴线的终止；(ii) 玻色子凝聚体中的塌缩阈值；(iii) 非晶固体中构型复杂度的饱和；(iv) 量子网络中全局纠缠增长的极限。这些预测提供了可通过实验观测的特征信号，可用于验证或证伪该约束的普适性。 本研究提出了一种结构性、与模型无关的约束，可对核物理、多体量子系统与量子信息论领域的现有理论框架进行补充与拓展。