Geometry Redirection via Metric Modulation: A Universal Interconnected Nodes (UIN) Framework

Conventional mechanics explains trajectory change through applied forces. Geometric frameworks demonstrate that motion can instead be redirected by Modifying the underlying metric structure governing geodesic paths. This paper formalizes geometry redirection via metric modulation. And integrates it with a Universal Interconnected Nodes (UIN) framework, Where balanced feedback among interacting nodes generates stable geometry. The formulation preserves conservation laws and reframes motion control As geometric constraint management rather than force application.