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Attend a physics seminar exploring how gamma-ray bursts can constrain the neutron star equation of state. Learn about the connection between short gamma-ray bursts and binary neutron star mergers, which are multimessenger events observable through both gravitational waves and electromagnetic radiation. Discover how numerical relativity simulations reveal that differentially rotating remnants may form after mergers, surviving for milliseconds before collapsing into black holes. Examine how oscillations in these remnants create postmerger gravitational-wave signals with broad spectral features in the 1-5 kHz range, currently beyond the reach of ground-based detectors, but potentially detectable through gamma-ray emission patterns. Explore the analysis of quasiperiodic oscillations found in archival BATSE data from short gamma-ray bursts 910711 and 931101B, with frequencies matching predicted quasiradial and quadrupolar oscillation modes of postmerger remnants. Understand how these observations enable inference of source redshift, chirp mass, and effective tidal deformability of progenitor binaries, leading to constraints on neutron-star mass-radius relationships and a precise 68% credible interval of 12.5+/-0.4 km for the radius of a 1.4 solar-mass neutron star, representing one of the tightest constraints achieved to date.
