InstituteForAdvancedStudy
Institute for Advanced Study theoretical physics lectures, first-hand frontier mathematical physics content, extremely hardcore.
59:48AI Proves in Half an Hour a Math Theorem Humans Couldn't Crack in a Year
A stuck L^p problem: AI delivers a five-page proof in half an hour, compresses a 60-page paper down to its core lemma, and casually pushes the threshold for continuous density from 588 to 9.
1:03:20Teaching a network the post-Newtonian terms cuts training data by ten thousand times
A purely neural waveform model needs 10^8 to 10^10 training waveforms, but writing the known physics into the network and letting it learn only the corrections takes 8 numerical-relativity waveforms.
1:06:30Charged Black Holes Emit Charged Particles, and Quantum Gravity Corrections Barely Matter
Quantum corrections to near-extremal black holes drastically rewrite the Hawking spectrum for photons and gravitons, but switch to charged particles and the corrections nearly vanish — because the particles are mostly produced in the throat, far from the horizon, where they cannot feel the metric fluctuations near the horizon.
1:00:13Planet Formation Happens When Dust Collapses on Its Own, Not Through Gas Turbulence
Purely hydrodynamic instabilities like VSI and COS stir dust back into the atmosphere and cannot make planetesimals; only when dust actively feeds back, or even when gas accretes, can dust be compressed to collapse density.