Proof of the ABC Conjecture via Ghost Drift Theory

This paper presents an attempt to prove the ABC Conjecture, one of the most profound unsolved problems in number theory, within the framework of the author's proposed Ghost Drift Theory. Ghost Drift Theory reinterprets natural numbers as vectors in a multi-dimensional semantic space (Log-prime Vector Map $T(n)$), modeling the additive relation $a+b=c$ as a "Semantic Jump" from an "initial nucleus $\mu_1 = T(ab)$" to an "emergent nucleus $\mu_2 = T(c)$." By quantifying the semantic coherence during this jump with a semantic energy function $\phiE(s)$ and analyzing the behavior of its minimum point, the Semantic Heart Point $\sH$, we rigorously demonstrate that the "finiteness assertion" of the ABC Conjecture is equivalent to the finiteness of energy explosions and the convergence of coherence residuals in the Ghost Drift space. Specifically, we show that the concept of the radical can be syntactically derived within Ghost Drift Theory, that the non-additivity of the semantic energy leads to an explosive structure, and that a clear geometric boundary exists in the semantic space to identify ABC Conjecture exceptions.