The Geometric Origin of Entanglement and the Exact Value of the Fine-Structure Constant: Vacuum Maintenance in Computational Finitism

In the companion paper, Ramos N.E. (2026d), we derived a bare fine-structure constant of = 1 144 from the symmetry density of the Planck voxel. However, the experimentally observed value is ≈ 1/137. The 7 missing channels were attributed to vacuum maintenance, but the precise physical mechanism remained unspecified. In this paper, we identify this mechanism: the 7 channels are consumed by the geometric self-consistency checks required to maintain the Fano plane's incidence structure. We demonstrate that these maintenance channels are not propagating signals, but global synchronization pulses of the computational substrate. This distinction resolves the paradox of quantum entanglement, explaining its instantaneous nature without violating causality. Furthermore, we show that these channels are atemporal architectural features rather than products of the Big Bang. Finally, we prove that the exact value of ≈ 1/137 represents the maximum complexity of stable matter (the Feynmanium limit) permitted by a universe that must dedicate 7 channels to its own geometric survival.