This paper presents a complete conceptual reduction of the abc conjecture to a single uniformity barrier, together with a suggestive geometric interpretation via "arithmetic Berry phase." The trace E = log(c/rad(abc)) is identified as an arithmetic holonomy—the unavoidable residual arising from the attempted gluing of additive and multiplicative structures. We prove an elementary CRT-layer bound on the powerful part P(c), localize potential exceptions to a single arithmetic progression, and show that the uniformity property (UNIFORM) is the sole barrier beyond elementary methods. A five-line closure argument is provided: the negation of UNIFORM produces infinitely many S-units in an arithmetic progression, which contradicts Baker–Matveev lower bounds for linear forms in logarithms. Appendix B records the "arithmetic Berry phase" interpretation—viewing E as a holonomy of the non-commutative loop Add → Mult → Add—as a suggestive perspective for future research. No new proof is claimed there. This paper serves as the author's final statement on the abc conjecture. The conceptual map is complete; further pursuit is left to others. Keywords: abc conjecture, trace, arithmetic Berry phase, holonomy, uniformity barrier, S-units, arithmetic progression, linear forms in logarithms, Baker theory, CRT layer decomposition Keywords: - abc conjecture- trace- arithmetic Berry phase- holonomy- uniformity barrier- S-units- arithmetic progression- linear forms in logarithms- Baker theory- CRT layer decomposition Related: https://zenodo.org/records/17989916 (Trace Theory v4) Final statement:"I'm 70 years old and I don't have time for just ABC. The answer is out. The proof is for others." --- H. Sasaki, December 2025