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Dimensions provide stable directions along which systems can evolve.They arise where interactions organise into consistent relational patterns.This chapter explores how dimensionality emerges as a solution to structural stability.
The holographic principle suggests that physical information is encoded on boundaries.A system’s behaviour may therefore be described by structures defined on its surface.This chapter examines the structural reasoning behind this remarkable idea.
AdS/CFT proposes a duality between gravitational systems and boundary field theories.It provides a mathematical example of surface–volume correspondence.This chapter explores how this duality relates to structural boundary descriptions.