Bandwidth Saturation and Dimensional Collapse in Information-Processing Systems

We establish a formal relationship between bandwidth constraints and system fragmen-tation across cognitive, organizational, and network domains. When the ratio of activeinformation streams to parallel processing capacity exceeds a critical threshold (empiri-cally ~ 0,8), feasible con guration spaces undergo dimensional collapse, making fragmenta-tion geometrically inevitable. This result demonstrates that bandwidth saturation producesstructural necessity, not empirical contingency. The framework uni es phenomena fromattentional narrowing to organizational silos under a common geometric principle.Keywords: bandwidth constraints, dimensional collapse, information overload, organiza-tional fragmentation, constraint geometry