Theoretical framework reveals how recurring polyhedral geometries generate processual memory across fractal semantic spaces, highlighting how historical trajectories shape cognitive curvature.
This article develops a generated-space interpretation of the Four Chamber Model. Semantic space is understood not as a pre-existing container, but as an order produced by relational structure. Chamber-specific polyhedral geometries are interpreted as generative principles of lattice structures whose recurrence across scales yields fractally organized semantic spaces. Across successive cycles, geometrical type can recur without restoring an identical semantic state. This provides a basis for processual memory: higher-order symmetry may be re-established while differentiations generated in preceding traversals remain preserved within subordinate levels of the fractal organization. Processual memory can support the stabilization of semantic attractors, which in turn shape semantic curvature and bias subsequent trajectories. The model thus links generated space, recurrence, memory, attraction, and curvature within a single developmental architecture.
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Hans-Joachim Rudolph (2026) studied this question.
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