分子数学、物理与电子信息学科的交叉演进与未来发展综述
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张明昭
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锦州市数据中心，辽宁锦州，121000
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摘要：分子数学、物理与电子信息学科相互交叉融合，已形成分子结构表征、量子态调控、分子信息处理等多个层次的研究方向，只是目前各分支还在各自独立发展，概念体系、数学工具与物理解释之间没建立统一的对应关系，让跨学科成果难以整合。现有研究大多着眼于具体技术环节，没从方法论层面系统梳理三者的内在关联，尤其没能打通从分子尺度信息载体到电子信息功能实现的逻辑链条。出现这一问题，主要是因为各学科长期遵循不同的范式传统与研究目标，数学侧重形式结构，物理关注实在规律，电子信息强调功能实现，学科间术语壁垒比较大，交叉研究多依赖个案探索，缺少稳定的框架。为了缓解上述困境，本文以“分子尺度信息处理”作为统一方向，尝试把分子数学中的代数与拓扑方法、物理中的量子力学与统计力学描述以及电子信息学科中的信号与编码概念放进同一分析框架，从概念映射、理论对接与功能导向三个层面梳理交叉融合的内在逻辑。
关健词：分子信息；交叉演进；学科整合 |
Review on the cross evolution and future development of molecular mathematics, physics and electronic information
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Mingzhao Zhang
Jinzhou Data Center,Jinzhou Liaoning 121000,China
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Absrtact：Molecular mathematics, physics and electronic information disciplines are integrated with each other, and multi-level research directions such as molecular structure characterization, quantum state regulation, and molecular information processing have been formed. However, at present, each branch is still developing independently, and there is no unified corresponding relationship between conceptual system, mathematical tools and physical interpretation, making it difficult to integrate interdisciplinary achievements. Most of the existing researches focus on the specific technical links, and fail to systematically sort out the internal relations of the three from the methodological level, especially fail to get through the logical chain from the molecular scale information carrier to the realization of electronic information functions. The main reason for this problem is that various disciplines have long followed different paradigm traditions and research objectives, mathematics focuses on formal structure, physics focuses on real laws, electronic information emphasizes the realization of functions, inter disciplinary terminology barriers are relatively large, interdisciplinary research relies more on case studies, and lacks a stable framework. In order to alleviate the above difficulties, taking “molecular scale information processing”as the unified direction, this paper attempts to put the algebraic and topological methods in molecular mathematics, the description of quantum mechanics and statistical mechanics in physics, and the concepts of signal and coding in electronic information science into the same analysis framework, and sort out the internal logic of cross integration from the three levels of concept mapping, theory docking and function orientation.
Keywords : molecular information；cross evolution； discipline integration
参考文献
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