Title: The Ternary Operator: Deriving Fundamental Physical Constants from a Discrete Golden-Ratio Lattice (Series: UIT-81, Paper VIII) Abstract/Description: The Standard Model of particle physics relies on approximately 26 fundamental constants—such as the Fine Structure Constant (alpha approx. 1/137) and the Lepton mass ratios—whose specific values currently lack a theoretical derivation. In this study, we propose that these constants are not arbitrary, but are emergent geometric properties of a computationally optimized vacuum. Building on the Unified Informational Template (UIT-81) framework, we model the vacuum as a discrete graph evolving via Balanced Ternary logic (-1, 0, +1). We derive the interaction strength alpha^ (-1) by postulating that the fundamental coherence domain is a quantized loop of N = 360 sites (a Superior Highly Composite Number). We demonstrate that the non-resonant "Golden Offset" within this loop yields a geometric ideal of approx 137. 5, which is screened by a Vacuum Lattice Tension sigma (vac) approx 0. 34% to match the observed physical value of 137. 036. Crucially, this framework validates sigma (vac) by applying it to the Lepton Mass Hierarchy. We model the Muon and Tau not as arbitrary flavors, but as topological Winding States (N = 2 -> 3) of the electron knot. When corrected by lattice tension, this topological derivation predicts the Muon mass (105. 75 MeV) with > 99. 9% accuracy. The paper concludes with falsifiable predictions regarding the cosmological drift of alpha and the discrete origins of the Muon g-2 anomaly. Series Note: This is Paper VIII in the UIT-81 series, following the derivation of Time (Paper I) and Dark Energy (Paper VI).
Bijan Pedram (Fri,) studied this question.