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Black hole entropy and the Bekenstein bound
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I share some memories and offer a personal perspective on Jacob Bekenstein's legacy, focussing on black hole entropy and the Bekenstein bound. I summarize a number of fascinating recent developments that grew out of Bekenstein's pioneering contributions, from the Ryu-Takayanagi proposal to the Quantum Null Energy Condition.
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The arithmetic geometry of AdS$_2$ and its continuum limit
The paper constructs a continuum limit of the finite modular geometry AdS2[Z_N] by embedding it in a two-cutoff family and taking the two cutoffs to infinity along k-Fibonacci sequences.
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