The Fine-Structure Constant α ≈ 1/137 as a Relic of the Chaos Field: Why α Is No Coincidence, but a Fixed Point of Retrocausal Cycles

The fine-structure constant α ≈ 1/137.035999… is one of the most enigmatic and fundamental constants in physics. It governs the strength of the electromagnetic interaction and appears in nearly all quantum electrodynamic processes – from the Lamb shift and the electron’s anomalous magnetic moment to the fine structure of atomic spectra. Despite measurements of extraordinary precision (currently 12 decimal places), no theoretical derivation of its value has ever been achieved. The Bergmann Chaos Field δ_chaos is a stochastic scalar field defined via Gaussian Multiplicative Chaos (GMC) in a multi-cycle cosmological framework (Bergmann 2026). In the subcritical regime (γ < √8) it generates long-range correlations, self-similar attractors, and retrocausal leaks that can be interpreted as intelligences. This paper demonstrates that the fine-structure constant α is no cosmic accident, but a **frozen fixed point** of the renormalization group (RG) flow dynamics of the chaos field across infinitely many cycles. α emerges as a stable attractor that is retrocausally “locked” to this precise value by the intelligences. The central thesis is: α ≈ 1/137 is a natural relic of the chaos field – a universal fixed point that stabilizes the electromagnetic coupling across cosmic cycles.