What question did this study set out to answer?

This work aims to redefine spatial structure by emphasizing relationships over traditional container models.

March 16, 2026Open Access

Space as Separation: A Relational Account of Extension and Dimensionality

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This framework reveals how spatial structure and geometry arise from relational processes, suggesting a new understanding of space.

This work aims to redefine spatial structure by emphasizing relationships over traditional container models.
Developing a relation-first framework for understanding space
Identifying separation as the core operator of space
Exploring how extension and geometry emerge from relational dynamics
Spatial growth is seen as the stabilization of relational differences.
The relational hypersphere illustrates the capacity to maintain stability in differences.
The account reframes geometry as a byproduct of generative relational processes.

Denis Bailey (2026) studied this question.

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