An Exploratory Note on the Fixed-Point Automorphism Framework in Ontological Dynamics

This working paper suggests a tentative approach to addressing the causal consistency issues that may arise in sequential ontological models. By exploring the concept of a unified generator bundle ($\Omega$) and utilizing complete group properties ($\Omega \cong \Aut(\Omega)$), the study outlines a possibility where internal transformations could be self-contained. It also offers a modest reinterpretation of the void ($\emptyset$) as a structural byproduct of the system's self-mapping, hoping to contribute a small perspective to the ongoing discourse on self-referential systems.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-14
DOI
https://doi.org/10.5281/zenodo.20615423
Primary Topic
Embodied and Extended Cognition
Type
preprint
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preprint

An Exploratory Note on the Fixed-Point Automorphism Framework in Ontological Dynamics

Jeong Min Yeon
Zenodo (CERN European Organization for Nuclear Research)
Embodied and Extended Cognition
preprint

An Exploratory Note on the Fixed-Point Automorphism Framework in Ontological Dynamics

Jeong Min Yeon
preprint en

Abstract

This working paper suggests a tentative approach to addressing the causal consistency issues that may arise in sequential ontological models. By exploring the concept of a unified generator bundle ($\Omega$) and utilizing complete group properties ($\Omega \cong \Aut(\Omega)$), the study outlines a possibility where internal transformations could be self-contained. It also offers a modest reinterpretation of the void ($\emptyset$) as a structural byproduct of the system's self-mapping, hoping to contribute a small perspective to the ongoing discourse on self-referential systems.

Zenodo (CERN European Organization for Nuclear Research)
Korea Aerospace University (KR)
Reduced inequalities
Embodied and Extended Cognition
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