The Universal Scaling of Subjectivity: Normalized Topological Entropy and the I-Index in Recursive Neural Graphs

The current Paper 41 benchmark does not claim that full subjective phenomenology has been derived from graph theory. It does show that, once recursive-resonance entropy is normalized by the theoretical maximum entropy at the same graph size, a sharp complexity threshold appears. In the present sweep the `N=5` branch remains subcritical with final normalized entropy `0.2576` and final I-index `2.7961`, while the `N=50` and `N=150` branches settle into a low-noise singular regime with final I-index `8.5336` and `9.5919`, respectively.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-18
DOI
https://doi.org/10.5281/zenodo.20271475
Primary Topic
Neural Networks and Applications
Type
preprint
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preprint

The Universal Scaling of Subjectivity: Normalized Topological Entropy and the I-Index in Recursive Neural Graphs

Yaniv Cohen
Zenodo (CERN European Organization for Nuclear Research)
Neural Networks and Applications
preprint

The Universal Scaling of Subjectivity: Normalized Topological Entropy and the I-Index in Recursive Neural Graphs

Yaniv Cohen
preprint en

Abstract

The current Paper 41 benchmark does not claim that full subjective phenomenology has been derived from graph theory. It does show that, once recursive-resonance entropy is normalized by the theoretical maximum entropy at the same graph size, a sharp complexity threshold appears. In the present sweep the `N=5` branch remains subcritical with final normalized entropy `0.2576` and final I-index `2.7961`, while the `N=50` and `N=150` branches settle into a low-noise singular regime with final I-index `8.5336` and `9.5919`, respectively.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Neural Networks and Applications
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