Academic Journal
A Phenomenological Koide Cone Selector for Charged-Lepton Masses in a Neutral-Parent Reconstruction Ansatz.
| Title: | A Phenomenological Koide Cone Selector for Charged-Lepton Masses in a Neutral-Parent Reconstruction Ansatz. |
|---|---|
| Authors: | Li, Bin |
| Source: | Quantum Reports; Sep2026, Vol. 8 Issue 3, p70, 22p |
| Subject Terms: | Cones, Phenomenology, Fine-structure constant, Lepton number |
| Abstract: | The charged-lepton pole masses exhibit the well-known Koide relation, in which the square-root geometry reduces the three-mass pattern to a one-angle problem. This paper first gives a self-contained algebraic formulation of that geometry: the Koide condition is equivalent to equality between the democratic and orthogonal components of the charged-lepton root vector, and the resulting spectrum lies on a cone around the democratic direction. The geometric equivalence and the one-angle parameterization are exact. A reconstruction framework is then summarized to motivate a neutral-parent interpretation of the root space. In this framework, premetric equivalence gives equal structural weighting, the Indefinite Reconstruction Stability Principle motivates minimal saturation, and persistent charged readouts are associated with carrier-supported codimension-two holonomy structure. The remaining Koide cone angle is assigned by a phenomenological weak-closure selector constructed from the electron, proton, and neutron masses and the low-energy fine-structure constant. No continuous coefficient is optimized against the muon or tau mass, but the selector was formulated retrospectively rather than selected from a prespecified finite hypothesis class. The retained baseline selector gives a muon mass output of approximately 105.6565 MeV and a tau mass output of approximately 1776.94 MeV, with relative deviations of approximately 0.0017 percent below and 0.00061 percent above the adopted pole-mass values. Accordingly, the numerical agreement is reported descriptively and is not assigned a look-elsewhere-corrected statistical significance. The selector is an ansatz motivated by the reconstruction picture; its full form and coefficients are not yet derived from a complete premetric calculus or matched to a post-readout effective action. Therefore, the result is presented as reproducible pole mass phenomenology and as a concrete target for future formal reconstruction rather than as a derivation of running Standard Model Yukawa couplings. [ABSTRACT FROM AUTHOR] |
| Copyright of Quantum Reports is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edb DbLabel: Complementary Index An: 197432201 RelevancyScore: 1082 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1082.42749023438 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Phenomenological Koide Cone Selector for Charged-Lepton Masses in a Neutral-Parent Reconstruction Ansatz. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Li%2C+Bin%22">Li, Bin</searchLink> – Name: TitleSource Label: Source Group: Src Data: Quantum Reports; Sep2026, Vol. 8 Issue 3, p70, 22p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Cones%22">Cones</searchLink><br /><searchLink fieldCode="DE" term="%22Phenomenology%22">Phenomenology</searchLink><br /><searchLink fieldCode="DE" term="%22Fine-structure+constant%22">Fine-structure constant</searchLink><br /><searchLink fieldCode="DE" term="%22Lepton+number%22">Lepton number</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The charged-lepton pole masses exhibit the well-known Koide relation, in which the square-root geometry reduces the three-mass pattern to a one-angle problem. This paper first gives a self-contained algebraic formulation of that geometry: the Koide condition is equivalent to equality between the democratic and orthogonal components of the charged-lepton root vector, and the resulting spectrum lies on a cone around the democratic direction. The geometric equivalence and the one-angle parameterization are exact. A reconstruction framework is then summarized to motivate a neutral-parent interpretation of the root space. In this framework, premetric equivalence gives equal structural weighting, the Indefinite Reconstruction Stability Principle motivates minimal saturation, and persistent charged readouts are associated with carrier-supported codimension-two holonomy structure. The remaining Koide cone angle is assigned by a phenomenological weak-closure selector constructed from the electron, proton, and neutron masses and the low-energy fine-structure constant. No continuous coefficient is optimized against the muon or tau mass, but the selector was formulated retrospectively rather than selected from a prespecified finite hypothesis class. The retained baseline selector gives a muon mass output of approximately 105.6565 MeV and a tau mass output of approximately 1776.94 MeV, with relative deviations of approximately 0.0017 percent below and 0.00061 percent above the adopted pole-mass values. Accordingly, the numerical agreement is reported descriptively and is not assigned a look-elsewhere-corrected statistical significance. The selector is an ansatz motivated by the reconstruction picture; its full form and coefficients are not yet derived from a complete premetric calculus or matched to a post-readout effective action. Therefore, the result is presented as reproducible pole mass phenomenology and as a concrete target for future formal reconstruction rather than as a derivation of running Standard Model Yukawa couplings. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Quantum Reports is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3390/quantum8030070 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 70 Subjects: – SubjectFull: Cones Type: general – SubjectFull: Phenomenology Type: general – SubjectFull: Fine-structure constant Type: general – SubjectFull: Lepton number Type: general Titles: – TitleFull: A Phenomenological Koide Cone Selector for Charged-Lepton Masses in a Neutral-Parent Reconstruction Ansatz. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Li, Bin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 2624960X Numbering: – Type: volume Value: 8 – Type: issue Value: 3 Titles: – TitleFull: Quantum Reports Type: main |
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