Ontological Divergence and Admissibility Flow in the Second Degree of Selector-Time Theory: A Preliminary Formalism for the REV → CRIT → IRREV Regimes

This technical essay presents a preliminary formalism for interpreting divergence, not as physical divergence in spacetime, but as a controlled mathematical analogy for the flow of admissibilities in the Second Degree of Selector-Time Theory (STT). The paper proposes a minimal formal structure for distinguishing the REV, CRIT, and IRREV regimes through an admissibility domain, a formal STT flow field, a Tau selection functional, ontological divergence, and CAL hardening. It does not derive new physical predictions, does not claim empirical validation, and does not propose replacing established operational physics. The deposit includes the English version of the article, a Portuguese version, the Python source code used in the computational implementation, and the PNG figures generated by the script. The computational model is presented as a tool demonstrator: a minimal, auditable, and reproducible formal laboratory for visualizing admissibility flow, selective compression, Tau gap evolution, local ontological divergence, and CAL hardening. The purpose of this work is to contribute to the mathematical formalization program of STT by making explicit the distinction between admissibility, selection, stabilization, and irreversible inscription across the REV → CRIT → IRREV transition.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-11
DOI
https://doi.org/10.5281/zenodo.20139702
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
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article

Ontological Divergence and Admissibility Flow in the Second Degree of Selector-Time Theory: A Preliminary Formalism for the REV → CRIT → IRREV Regimes

Izairton Oliveira de Vasconcelos
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Ontological Divergence and Admissibility Flow in the Second Degree of Selector-Time Theory: A Preliminary Formalism for the REV → CRIT → IRREV Regimes

Izairton Oliveira de Vasconcelos
article en

Abstract

This technical essay presents a preliminary formalism for interpreting divergence, not as physical divergence in spacetime, but as a controlled mathematical analogy for the flow of admissibilities in the Second Degree of Selector-Time Theory (STT). The paper proposes a minimal formal structure for distinguishing the REV, CRIT, and IRREV regimes through an admissibility domain, a formal STT flow field, a Tau selection functional, ontological divergence, and CAL hardening. It does not derive new physical predictions, does not claim empirical validation, and does not propose replacing established operational physics. The deposit includes the English version of the article, a Portuguese version, the Python source code used in the computational implementation, and the PNG figures generated by the script. The computational model is presented as a tool demonstrator: a minimal, auditable, and reproducible formal laboratory for visualizing admissibility flow, selective compression, Tau gap evolution, local ontological divergence, and CAL hardening. The purpose of this work is to contribute to the mathematical formalization program of STT by making explicit the distinction between admissibility, selection, stabilization, and irreversible inscription across the REV → CRIT → IRREV transition.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Openalex Percentile: Top 5%
Relativity and Gravitational Theory
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