Implication of Totality in Proportionality Under Paradoxical Conditions: The K Node and the Quantum Annulator

This paper introduces a novel mathematical framework to describe the relationship between capacity and physical cost in systems governed by the Quantum Annulator and the K Node. I propose the concept of 4D-proportionality, a higher-dimensional proportional relationship that resolves paradoxes arising when classical proportional and inversely proportional models fail to describe benign quantum coherent systems. Furthermore, I present a theoretical brain-machine interface based on dual Annulator configuration and discuss its implications for quantum-enhanced cognition.