The G-MaTT Zero Conjecture — Topological Perspectives on the Fine-Structure Constant, Coherence Windows, and Potential Fixed-Point Constraints

Abstract String Theory attempts to address the specific value of the fine-structure constant (α) through the compactification of extra dimensions into 4D spacetime, a paradigm that frequently leads to the "String Landscape" (≈ 10⁵⁰⁰ vacua) and reliance on anthropic selection. Within the Generalized Mass as Twisted Time (G-MaTT) framework, this exploratory note examines an alternative conceptual vocabulary: treating spacetime as a holographic projection governed by a phase-coherence threshold (R_c = 1 − √α ≈ 0.9146). We outline the speculative hypothesis of "Topological Natural Selection" (TNS) and formally introduce the G-MaTT Zero Conjecture, distinguishing it from anthropic reasoning by framing α as a geometric necessity rather than a statistical accident. This conjecture explores a toy model wherein α is viewed through a scale-invariant renormalization group fixed-point analogy, proposing that its stability arises from discrete topological degeneracy protection. While presented as a conceptual exploration rather than a definitive derivation, this framework offers a fresh geometric perspective on coupling constant stabilization with explicit falsifiable anchors in prior G-MaTT volumes.