Backreaction from Swampland Distance Conjecture tower emission

Develop a rigorous treatment of the backreaction caused by Swampland Distance Conjecture tower emission beyond the Schwinger approximation, so that the dynamical discharge argument becomes fully quantitative.

Background

The paper estimates the discharge of would-be overcharged GMGHS configurations using Schwinger pair production from an exponentially light Swampland Distance Conjecture tower. That estimate treats the emission approximately and does not rigorously incorporate the emitted tower’s backreaction on the geometry, fields, and discharge process. The authors explicitly leave this quantitative dynamical problem unresolved.

References

Several open directions remain. First, constructing an exact rotating EMDA solution and performing the full Sorce--Wald analysis would complete the stationary case. Second, extending the variational formalism to dynamic (time-dependent) dilaton backgrounds would settle outstanding WCCC\ questions in non-stationary regimes. Third, a rigorous treatment of backreaction from SDC\ tower emission (beyond the Schwinger approximation) is needed to make the dynamical discharge argument fully quantitative. We leave them for future investigation.

— Revisit Weak Cosmic Censorship in Einstein-Maxwell-Dilaton Black Holes: Third-order Protection, Swampland Distance Conjecture, and Weak Gravity Conjectures  (2608.24557 - Lai et al., 25 Aug 2026) in Section "Conclusion and Outlook" (Section 6)