Exact Derivation of the Fine-Structure Constant α within the Fractal Quantum Holographic Paradigm 4.0

Within the framework of the Fractal Quantum Holographic Paradigm version 4.0 (FQHP 4.0), a rigorous derivation of the fine-structure constant α from first principles is presented. It is shown that α is not a fundamental constant but rather the projection efficiency of the electromagnetic interaction from a specific level of the fractal hierarchy of the ontological barrier. The derivation relies solely on previously established parameters of the theory: the number of fractal levels N ≈ 141.5, the fractal dimension D = 2.05, the evolution parameter η = 0.72, the scaling exponents of the ontological shift operator p_φ = 0.465, p_α = 1.142, and the recurrent information packing sequence a_n. The obtained value α ≈ 1/137.036 is in exact agreement with experimental data. The result demonstrates the self-consistency and predictive power of FQHP 4.0.