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September 12, 2026Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesOpen Access

Empirical flare energy limits for the largest historical sunspots

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Authors

NKN. A. KrivovaTCT. ChatzistergosMKM. Kazachenko

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Overview

Empirical modeling reveals potential flare energies reaching several 10³⁴ erg from giant historical sunspots, indicating that the Sun is capable of producing superflares.

Key Points

  • To determine the empirical upper limit of solar flare energies by applying modern flare scaling relations to the largest sunspot groups in recorded history.
  • Derived statistical upper-envelope scaling relations linking flare-ribbon areas to total released energy using modern observational datasets.
  • Extrapolated these empirical relations to the largest recorded sunspot group since 1859, the Great Sunspot of 8 April 1947.
  • Exceptionally large and complex solar active regions possess sufficient magnetic area to produce flares with bolometric energies reaching a few × 10³⁴ erg.
  • Demonstrated that the Sun is physically capable of hosting superflares within the energy ranges detected on other Sun-like stars.

Cite This Study

Krivova et al. (2026) studied this question.

synapsesocial.com/papers/6aa51e69327956e4761f853ahttps://doi.org/10.1098/rsta.2025.0290
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