Electron Approach Theory Fractal Extension. Mathematical formalization of absolute space and absolute time as a recursive projection, by means of a weak conjecture of a weak conjecture deriving from Goldbach's strong conjecture.

The proposed extension of the Approach Theory (https://doi.org/10.31219/osf.io/hwca8_v1) introduces a mathematical formalization of absolute space and absolute time, built through a structural recursion based on odd primes (including 1), where each prime is interpreted as a vertex of a fractal triplet generated by a sum rule, which includes its prime predecessor plus two other minor primes equal to the predecessor, which will give rise to a unique and recursive mapping of absolute space. Absolute time, in this context, is not a continuous dimension but a discrete function of depth, linked to the sequence of prime decompositions. The absolute space thus defined is static, but explorable through topological paths, and absolute time emerges as a projection of the recursive activity. In this context, the theory explains the empirical anomaly of the RC constant observed in the tear that occurs during the electron's crossing of the relative space-time and traces the dynamics of quantum damping back to an underlying fractal structure, where it is shown that the electron's ascent in the relative space-time is guaranteed by a numerical-topological deterministic structure, consistent with the principles of feedback, strong determinism and formal non-completeness (Gödel). Therefore, this work is configured as a rigorous and logically compact compendium of the deepest articulation of the Approach Theory.