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Dimensional structure depends on stable relational patterns.When those patterns break down, dimensional description can no longer hold.This chapter explores the conditions under which dimensionality loses meaning.
Scale transitions are normally smooth and predictable.However, when structural limits are exceeded, instability can arise between levels of description.This chapter examines how systems destabilise across scale boundaries.
Singularities are often described as points where physical laws break down.From a structural perspective, they represent the collapse of boundary constraints.This chapter explores singularities as failures of coherent boundary structure.