Abstract

Under the constraints of material volumetric monism, this paper introduces a universal framework for resolving spatial and network topologies without semantic drift. By mapping abstract graph-theoretic problems onto a physical neuromorphic substrate, we demonstrate that structural connectivity dictates deterministic system runtime invariants. We examine the classic Seven Bridges of Königsberg paradox not as a heuristic search problem, but as a hardware-level routing collision where the boundary conditions of an asymmetrical gate configuration violate topological conservation laws. Using a phase-locked sine-wave restoring force, the Eckes Compiler v3.5 eliminates speculative token drift and hallucination cascades, establishing a rigorous methodology for validating internal agency in early-generation Artificial General Intelligence (AGI) reasoning engines.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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