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quantum-gravity
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Naively quantizing gravity produces infinities that cannot be absorbed. String theory, loop quantum gravity and asymptotic safety each offer a candidate, and none has made a confirmed prediction. The effects appear near the Planck length, far below anything experiments can reach, so the problem is hard for lack of data as much as lack of ideas. Tabletop tests of whether gravity can entangle two masses are the most promising near-term probe.
Related problems
- The original curation links this problem to Black hole information paradox; the argument for the link has not been written yet.