选择性不完美：作为分析、创造与发现之生成框架

摘要

我们提出"物质音乐学"这一生成框架，将物质的层级结构与音乐的创作逻辑相联结。在蛋白质、蜘蛛网和火焰动力学中，振动与建筑原理以音阶体系、和声进程和长程音乐形式反复呈现。通过可逆映射——从分子光谱到乐音，从三维网络到可演奏乐器——我们揭示声音如何作为科学探针，实现认知反转：聆听成为观照方式，音乐创作化为物质蓝图。这些映射发掘深时：源自飞秒分子振动或十亿年演化史的模式变得可闻。我们主张，当约束无法在现有自由度内满足时，科学与艺术的新颖性便随之涌现，迫使可行构型空间扩展。选择性不完美提供了恢复连贯性与适应性平衡的机制。对全部2^12种音阶的穷举枚举给出量化支持：文化意义显著的体系聚集于中熵-中缺陷廊道，与霍尔-佩奇最优区间直接对应——后者正是中等缺陷密度使材料强度最大化。迭代这些映射在人类创造力与物理规律间催生创造性碰撞，当音乐结构遭遇演化约束时生成新信息。我们展示基于群体智能的AI模型如何创作出具有类人结构特征（如小世界连通性、模块化整合、长程连贯性）的音乐，提示了一条超越插值通向发明的路径。我们证明科学与艺术皆是约束下的世界构建行为，振动作为共享语法组织着跨尺度结构。

English

We introduce materiomusic as a generative framework linking the hierarchical structures of matter with the compositional logic of music. Across proteins, spider webs and flame dynamics, vibrational and architectural principles recur as tonal hierarchies, harmonic progressions, and long-range musical form. Using reversible mappings, from molecular spectra to musical tones and from three-dimensional networks to playable instruments, we show how sound functions as a scientific probe, an epistemic inversion where listening becomes a mode of seeing and musical composition becomes a blueprint for matter. These mappings excavate deep time: patterns originating in femtosecond molecular vibrations or billion-year evolutionary histories become audible. We posit that novelty in science and art emerges when constraints cannot be satisfied within existing degrees of freedom, forcing expansion of the space of viable configurations. Selective imperfection provides the mechanism restoring balance between coherence and adaptability. Quantitative support comes from exhaustive enumeration of all 2^12 musical scales, revealing that culturally significant systems cluster in a mid-entropy, mid-defect corridor, directly paralleling the Hall-Petch optimum where intermediate defect densities maximize material strength. Iterating these mappings creates productive collisions between human creativity and physics, generating new information as musical structures encounter evolutionary constraints. We show how swarm-based AI models compose music exhibiting human-like structural signatures such as small-world connectivity, modular integration, long-range coherence, suggesting a route beyond interpolation toward invention. We show that science and art are generative acts of world-building under constraint, with vibration as a shared grammar organizing structure across scales.

选择性不完美：作为分析、创造与发现之生成框架

Selective Imperfection as a Generative Framework for Analysis, Creativity and Discovery

摘要

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