Fractal Depth Resolves the Conservation Degeneracy

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Authors: Raimo van der Klein
Cited by: 0

Abstract

The universal sequence paper (van der Klein, 2025) reported 88.8% mapping fidelity across 20 dissipative processes at 16-position resolution, with the 11.2% mismatch concentrated at positions 14 (tend.form) and 15 (tend.encounter) in the conservation regime. The original paper attributed this to the oscillatory character of the surveillance-compensation feedback loop, which resists snapshot at single-step resolution. Within the Generative Geometry framework (van der Klein, 2026), this update tests whether going one fractal level deeper -- mapping positions 14 and 15 at 64-position resolution -- resolves the degeneracy. Ten systems were mapped at the deeper resolution, producing 80 sub-positions. Result: fidelity at positions 14 and 15 rises from 30% to 97.5%. The framework predicts its own resolution limit and the fractal method to overcome it.

Fields of Study & Subjects

Complex Systems and Dynamics Advanced Mathematical Theories and Applications Mathematical Dynamics and Fractals

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
13 March 2026
Language
EN
Document type
Preprint