This work introduces a geometric framework that models space as a graph and dynamics as transitions, suggesting a new understanding of geometry.
This work introduces a discrete geometric and dynamical framework based on unit-distance graph structures generated by circle intersections. Space is defined as a graph G=(V,E), distance as graph distance, curvature as discrete directional change, and dynamics as transitions on the graph. The framework provides a self-consistent alternative geometric model where structure emerges from discrete transitions rather than continuous coordinates.
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Chrisovalantis Avgenikos (2026) studied this question.
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