A Discrete Phasor-Recipe Ansatz for Superheavy Z/N: Fully Specified, Reproducible Predictions from UNIVERSE131

This paper presents a discrete numerical ansatz based on the UNIVERSE131 framework to predict stability peaks for superheavy elements (Z=119\text{--}126). By mapping nuclear charge (Z) and neutron number (N) onto a unit circle and matching them against a finite dictionary of "phasor recipes" (geometric vector sums), the model generates a deterministic ranking of candidate isotopes. Key Findings: Specific Prediction for Element 119: The model identifies a distinct geometric "lock" at Z=119, N=181 ($^{300}$Uue). This prediction contrasts with mainstream nuclear shell models that typically anticipate maximum stability closer to the N=184 spherical shell closure. Validation: The model successfully post-dicts the geometric mirror symmetry between Calcium (Z=20) and Gold (Z=79) as a "twin" relationship (Z \leftrightarrow Z+59). Reproducibility: The paper explicitly lists all constants (10 fixed phasor angles), matching rules, and tie-breaking algorithms required to reproduce the results independently without proprietary code. This work offers a falsifiable geometric hypothesis for superheavy element stability, providing precise coordinates for future experimental synthesis.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-25
DOI
https://doi.org/10.5281/zenodo.18052389
Primary Topic
Nuclear physics research studies
Type
article
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article

A Discrete Phasor-Recipe Ansatz for Superheavy Z/N: Fully Specified, Reproducible Predictions from UNIVERSE131

Ken Takada, Enumiaze
Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
article

A Discrete Phasor-Recipe Ansatz for Superheavy Z/N: Fully Specified, Reproducible Predictions from UNIVERSE131

Ken Takada, Enumiaze
article en

Abstract

This paper presents a discrete numerical ansatz based on the UNIVERSE131 framework to predict stability peaks for superheavy elements (Z=119\text{--}126). By mapping nuclear charge (Z) and neutron number (N) onto a unit circle and matching them against a finite dictionary of "phasor recipes" (geometric vector sums), the model generates a deterministic ranking of candidate isotopes. Key Findings: Specific Prediction for Element 119: The model identifies a distinct geometric "lock" at Z=119, N=181 ($^{300}$Uue). This prediction contrasts with mainstream nuclear shell models that typically anticipate maximum stability closer to the N=184 spherical shell closure. Validation: The model successfully post-dicts the geometric mirror symmetry between Calcium (Z=20) and Gold (Z=79) as a "twin" relationship (Z \leftrightarrow Z+59). Reproducibility: The paper explicitly lists all constants (10 fixed phasor angles), matching rules, and tie-breaking algorithms required to reproduce the results independently without proprietary code. This work offers a falsifiable geometric hypothesis for superheavy element stability, providing precise coordinates for future experimental synthesis.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 21%
Nuclear physics research studies
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A Discrete Phasor-Recipe Ansatz for Superheavy Z/N: Fully Specified, Reproducible Predictions from UNIVERSE131 — Ken Takada, Enumiaze · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS