标题： 创新与过时的综合 显示英文标题

标题： Synthesis of innovation and obsolescence

摘要： 创新与过时现象描述了从经济市场的发展到科学技术的进步，再到生物进化等一系列不断变化的社会和生物系统的动态特性。这些现象已被广泛讨论，但通常是孤立地研究，导致对其动力学的建模支离破碎。这为我们理解它们共同机制之间的联系和构建带来了难题。 在这里，我们共同提出一个概念性和数学性的框架，以超越学科界限，并探索统一的理论框架和开放性挑战。通过聚焦于创新与过时的二元性，并提出一个数学框架来统一构成要素之间的隐喻，我们对未来将分散的研究线索编织在一起抱有乐观态度，尽管这一领域的文献广泛且大多彼此缺乏联系。 显示英文摘要

摘要： Innovation and obsolescence describe the dynamics of ever-churning social and biological systems, from the development of economic markets to scientific and technological progress to biological evolution. They have been widely discussed, but in isolation, leading to fragmented modeling of their dynamics. This poses a problem for connecting and building on what we know about their shared mechanisms. Here we collectively propose a conceptual and mathematical framework to transcend field boundaries and to explore unifying theoretical frameworks and open challenges. We ring an optimistic note for weaving together disparate threads with key ideas from the wide and largely disconnected literature by focusing on the duality of innovation and obsolescence and by proposing a mathematical framework to unify the metaphors between constitutive elements.