r/complexsystems • • 5h ago

Research Project on the Emergence of Geometric Structures from Algebraic Relations

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I've been working on a mathematical framework that explores how geometric order can emerge step by step from purely algebraic rules.

The construction follows a complete pipeline: algebraic code → 3D lattice → symmetries → discrete curvature → global geometric order.

The interesting part isn't just the resulting geometry, but how each structural layer emerges from the previous one without assuming geometry at the start.

I've attached a research poster outlining the framework and its derivations.

I'd be curious to hear your thoughts, especially on connections to emergence, complexity science, and fundamental mathematical structures.

Sören Lemke