Logarithmic Anti-Screening Modulations and the Emergence of Asymptotic Freedom Natively Within the Dewhirst Operator

Abstract

This monograph adapts the density-dependent screening loop of the Dewhirst Horizon Relation to evaluate the strong nuclear interaction at subatomic scales. Traditional Quantum Chromodynamics (QCD) explains asymptotic freedom and quark confinement through complex non-Abelian gluon self-interactions. This paper introduces a geometric sign inversion and a logarithmic distance parameter directly into the Dewhirst field operator, tying field interactions to the relative separation distance (r) between color charges. At ultra-short subatomic distances approaching the Planck scale (r -> l_P), the effective field mass drops to zero. This natively unlocks an un-interacted state where quarks behave as free particles. Conversely, as separation distance increases, the logarithmic operator forces the effective mass to scale upward. Due to the inverted geometric sign of the equation, this acts as an anti-screening mechanism, generating a linearly increasing potential well. This cleanly accounts for macro-confinement without mathematical singularities, unifying strong nuclear force dynamics under a single continuous field framework. This file forms Document 33 of the ongoing independent physics library.