Supplement establishes a geometric derivation of fine-structure constant in vacuum architecture, ending empirical ambiguity.
This supplement to the Unified Chronofractal Field (UCF) framework establishes the definitive ab initio geometric derivation of the fine-structure constant (α⁻¹) under a strict zero-parameter constraint ($k=0$). It introduces the Lattice-14 Coupling Identity ($L14-CI$), which formalizes the topological impedance of fractal time (ν) interacting with the spatial manifold (π). The numerical delta between the static 3D-chassis (4π³ + π² + π ≈ 137.036303) and empirical measurements is identified as 'Operational Drag'—the thermodynamic latent heat of the vacuum's topological phase transition. This mechanism is mandatory for maintaining the hardware clock rate of the 14-mode Bravais lattice. The resulting master equation yields a dynamic α⁻¹ with a fixed precision of 75 ppb relative to CODATA 2018 benchmarks. This document defines the vacuum as a deterministic hardware architecture, effectively ending the era of empirical fine-tuning in quantum electrodynamics. Audited under the Nexus AEBE (M+M) protocol.
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Heiko Grimberg (2026) studied this question.
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