Undergrad "Testing the black-hole area law with GW150914"

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The discussion highlights the observational confirmation of Hawking's black-hole area theorem using data from the gravitational wave event GW150914. Researchers achieved a 97% probability agreement with the theorem when including overtones in their model of the ringdown phase. A new time-domain analysis of pre- and post-merger data was employed to reach these conclusions. Additionally, the inspiral and ringdown phases of the signal were found to be consistent with the same remnant mass and spin, supporting general relativity. This research represents a significant advancement in understanding black hole physics.
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(I haven't been actively following this line of research... but I think it is possibly interesting reading.
It's been in the science news today.)

"Black Hole Area Law Tested" (synopsis)
https://physics.aps.org/articles/v14/s87

"Testing the Black-Hole Area Law with GW150914"
Maximiliano Isi, Will M. Farr, Matthew Giesler, Mark A. Scheel, and Saul A. Teukolsky
Phys. Rev. Lett. 127, 011103 – Published 1 July 2021
http://dx.doi.org/10.1103/PhysRevLett.127.011103 (preprint: https://arxiv.org/abs/2012.04486 )
We present observational confirmation of Hawking’s black-hole area theorem based on data from GW150914, finding agreement with the prediction with 97% (95%) probability when we model the ringdown including (excluding) overtones of the quadrupolar mode. We obtain this result from a new time-domain analysis of the pre- and postmerger data. We also confirm that the inspiral and ringdown portions of the signal are consistent with the same remnant mass and spin, in agreement with general relativity.
 
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MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...

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