The Solar Tachocline Rotation Rate Matches the A₄ Eigenvalue Attractor to 0.16%: Helioseismic Confirmation and Differential Rotation Correction
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2026
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| author | Milosavljevic, Gregory |
| author_facet | Milosavljevic, Gregory |
| contents | <p>We show that the solar tachocline rotation rate measured by helioseismology (430 ± 1 nHz, sidereal period 26.92 days) matches the Universal Resonance Constant prediction P_URC = 1/(πφα) = 26.96 days to 0.16%. This is the most precise confirmation of the eigenvalue attractor framework, obtained from data entirely independent of the stellar rotation surveys (Kepler, K2, TESS) used in previous papers. We identify that P(N) = 1/(πλ(N)α) predicts tachocline periods, not surface periods. The 1.9% offset between the Kepler G dwarf surface P90 and P_URC is consistent with the expected latitude-dependent differential rotation at starspot latitudes (20–30°). Without any correction, the fine-structure constant is recovered independently from G, K, and M dwarf periods with a cross-type spread of 0.87%, exceeded by only 1.3% of random period triplets (2.5σ). Paper XVI of the URC Series.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19293529 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | The Solar Tachocline Rotation Rate Matches the A₄ Eigenvalue Attractor to 0.16%: Helioseismic Confirmation and Differential Rotation Correction Milosavljevic, Gregory stellar rotation, tachocline, helioseismology, fine-structure constant, eigenvalue attractor, gyrochronology, differential rotation <p>We show that the solar tachocline rotation rate measured by helioseismology (430 ± 1 nHz, sidereal period 26.92 days) matches the Universal Resonance Constant prediction P_URC = 1/(πφα) = 26.96 days to 0.16%. This is the most precise confirmation of the eigenvalue attractor framework, obtained from data entirely independent of the stellar rotation surveys (Kepler, K2, TESS) used in previous papers. We identify that P(N) = 1/(πλ(N)α) predicts tachocline periods, not surface periods. The 1.9% offset between the Kepler G dwarf surface P90 and P_URC is consistent with the expected latitude-dependent differential rotation at starspot latitudes (20–30°). Without any correction, the fine-structure constant is recovered independently from G, K, and M dwarf periods with a cross-type spread of 0.87%, exceeded by only 1.3% of random period triplets (2.5σ). Paper XVI of the URC Series.</p> |
| title | The Solar Tachocline Rotation Rate Matches the A₄ Eigenvalue Attractor to 0.16%: Helioseismic Confirmation and Differential Rotation Correction |
| topic | stellar rotation, tachocline, helioseismology, fine-structure constant, eigenvalue attractor, gyrochronology, differential rotation |
| url | https://doi.org/10.5281/zenodo.19293529 |