K-106
Genericity of lower bounds for linearized-gravity interior instability
open Interior / SCC
Statement
Prove that the nontrivial lower-bound assumptions appearing in linearized-gravity blue-shift instability results are generic for exterior initial data.
Mathematical prerequisites
Linearized-gravity scattering; horizon charges; genericity arguments in infinite-dimensional data spaces.
Why it matters
Instability theorems are strongest when their hypotheses are shown to hold for open dense or full-measure sets of data.
Completion criteria
A complete answer must specify the data topology and prove generic nonvanishing of the instability-triggering quantity.
Implications if solved
Would turn conditional interior blow-up statements into genuinely generic ones.
Last updated: 2026-04-05 ·
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