$\phi$-모델 기반 쿼크 유사 결합 이론 초안

    This preliminary study explores a novel approach to modeling quark-like binding based on a scalar field denoted by $\phi(r)$. Within this framework, meson-like bound states—specifically singlet structures formed through color–anti-color pairing—emerge naturally from the geometry of the underlying field. The analysis focuses on the introduction of conjugate vectors and their role in enforcing a binding criterion defined through inner product relations. By examining conditions for singlet formation, the study provides a mathematical justification for the selection of a canonical basis, which had previously been employed heuristically. Although the model remains in an exploratory phase, it suggests that binding structures typically assumed in quantum chromodynamics may instead be derived from first principles within a geometric field framework. This work is part of a broader effort to reconstruct gauge-theoretic phenomena from scalar-field-based ontological principles.