Abstract Current fault-tolerant quantum computing paradigms are fundamentally limited by their reliance on continuous classical space, which inherently introduces thermodynamic and environmental noise. In this paper, we propose a radical paradigm shift by completely discarding the classical noise dimension and introducing the pure $di$ topological architecture. We present a 64-state ($2^3 \otimes 2^3$) tensor network that definitively decouples quantum computation from classical interference. The system utilizes an imaginary time wave engine ($i$) for non-Abelian braiding operations within a vacuum manifold, while macroscopic topological defects ($d$) serve as physical anchors to deterministically collapse the wave function upon computational completion. Furthermore, to address physical hardware degradation, we introduce "Topological Qubit Surgery." By applying Hironaka's resolution of singularities (blow-up) and Perelman's Ricci flow, the architecture dynamically identifies, smooths, and excises geometrical anomalies (errors) prior to systemic decoherence. This biologically inspired, self-healing framework provides a definitive mathematical pathway to achieving scalable quantum supremacy, rendering brute-force passive shielding obsolete.