Month: September 2022

TRANSITIONS IN SPACETIME. “There are very good reasons to think that the classical description of a black hole interior must break down at some exponentially large time (by exponential I mean in the entropy of the black hole). If the considerations of this paper are correct the breakdown is marked by a fairly sudden transition.” https://lnkd.in/d3Fw6gf View in LinkedIn

THE TAKEHOME. “Perhaps a more accurate statement is that classically the entropy of the black hole is infinite.” https://lnkd.in/d3Fw6gf View in LinkedIn

BLACK HOLE TIME. “There are two kinds of clocks we can appeal to in studying the growth of wormholes. The first are clocks external to the CFT; in other words clocks which are not themselves part of the CFT. They can have unlimited accuracy for arbitrary lengths of time. One interpretation of the volume is that it is equal to the age of the black hole (as recorded by the boundary clock), multiplied by the area of the horizon.” (CFT = a thermal state of a boundary). https://lnkd.in/d3Fw6gf View in LinkedIn

INTERNAL CLOCK. “A more interesting thing to do is to use the black hole itself as an “internal” clock. We assume that the (pure) quantum state of the black hole is characterized by an uncertainty in energy ∆E equal to the variance of the energy in the thermal state.” https://lnkd.in/d3Fw6gf View in LinkedIn

WORMHOLE. “As time unfolds the quantum system evolves and passes through a series of mutually orthogonal states which can be identified with the states of the growing wormhole.” https://lnkd.in/d3Fw6gf View in LinkedIn

DIVERGENT TIMES. “The two kinds of clocks, boundary and internal, are expected to agree to high accuracy for a long period of time but not forever.” https://lnkd.in/d3Fw6gf View in LinkedIn

“HIGHER TRUTHS BYPASSING THE INTELLECT. Alice’s fall down the rabbit hole echoes a mathematical “thought experiment” employing an infinite series of numbers called Fibonacci numbers, based on the reproductive rate of a pair of imaginary rabbits.” (Each number is the sum of the two preceding ones). https://lnkd.in/dVE4SFw View in LinkedIn

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DEFINITION. “Black holes are chaotic systems with random-matrix energy spectrum.” https://lnkd.in/d3Fw6gf View in LinkedIn

BLACK HOLES. “It suggests that there will be no concept of a single classical geometry, but only a quantum super-position of many macroscopically different geometries. The phenomenon of “running out of states” occurs in many contexts including the theory of giant gravitons as well as the theory of Euclidean wormholes.” https://lnkd.in/d3Fw6gf View in LinkedIn