r/complexsystems • u/Substantial-Film6099 • 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