The emergence of digital culture has fostered a profound interaction between virtual and physical spaces, giving rise to a dynamic and fluid spatial framework. This study examines the Geological Museum of Guizhou as a case study and develops a multi-layered interaction model to systematically elucidate the dynamic coupling mechanisms between virtual and physical spaces across temporal and spatial dimensions. By collecting high-frequency time-series data over the course of a week, the study quantifies the multidimensional interplay among virtual platform content dissemination, user engagement behaviors, and patterns of physical exhibition space utilization. The findings indicate that during peak hours, virtual platform content effectively alleviates congestion within physical exhibition areas, whereas during off-peak periods, it sustains user engagement through deeper interactive experiences. This study extends Third Space theory by introducing a novel framework for understanding the dynamic flow between virtual and physical spaces, offering empirical insights to optimize resource allocation and enhance user experiences in urban public spaces. Future research may integrate technologies such as augmented reality (AR) and virtual reality (VR) to deepen the interaction between virtual and physical spaces in a broader range of contexts.