Center as a Common Generative Principle Across Scientific Disciplines

This paper demonstrates that across scientific disciplines—physics, biology, astronomy, mathematics, and systems theory—the same functional entity appears under different names: nucleus, core, zero, source, axis, gravitational center, or black hole. These concepts are typically treated as discipline-specific, without explicit recognition of their common generative role. The paper argues that all these terms describe the same organizational principle: the center as a necessary condition for the emergence and maintenance of structure. It does not introduce a new entity or force, but identifies an already existing, yet fragmentarily treated concept. A minimal generative algorithm is proposed: C + Y → S, where the center (C) generates structure (S) through the transfer of energy or information (Y). The claim is strictly falsifiable: the theory fails if a stable structure without a center or without any transfer is demonstrated. To date, no such example has been empirically confirmed. The paper includes:- Minimal criteria for what qualifies as a center (temporal, functional, necessity, scalar)- Analysis of center across seven disciplines with empirical consequences of its absence- Distinction between structure and process- Anticipation and response to six steelman objections (decentralized systems, quantum foam, fractals, tautology, causation, predictions) Paper 26 in the Generative Dynamics series. OSF Repository: https://osf.io/zmj7c/ OSF DOI: https://doi.org/10.17605/OSF.IO/ZMJ7C Google Scholar: https://scholar.google.com/citations?user=nslq4aMAAAAJ