Quantum computing meets a black hole

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Philip Thrift

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Jul 16, 2020, 4:53:19 AM7/16/20
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Lawrence Crowell

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Jul 17, 2020, 6:02:43 PM7/17/20
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The elementary Penrose diagram for the Schwarzschild black hole

penrose diagram for Schwarzschild BH.jpg
has a while hole for the bottom triangle, a black hole as the upper triangle and the two squares are regions with entangled states. The while hole produces quanta and the black hole absorbs quanta. This is a vacuum theory with the content of raising and lowering operators a and a^† for entangled states. 

LC

Lawrence Crowell

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Jul 17, 2020, 6:04:43 PM7/17/20
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My image did not show up, try again:



Brent Meeker

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Jul 17, 2020, 8:15:27 PM7/17/20
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But real black holes form by collapse of star and so don't have the time symmetry of a Schwarzschild bh.

Brent
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Philip Thrift

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Jul 18, 2020, 4:24:40 AM7/18/20
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What software library and computer runs the most accurate or up to date programming model of real black holes?


cf.

The EinsteinPy package provides some core data types for calculating, operating, visualizing geodesics and black holes. 

https://arxiv.org/abs/2005.11288

@philipthrift

Lawrence Crowell

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Jul 18, 2020, 8:04:37 AM7/18/20
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On Friday, July 17, 2020 at 7:15:27 PM UTC-5 Brent wrote:
But real black holes form by collapse of star and so don't have the time symmetry of a Schwarzschild bh.

Brent

The idealized gadget seen in the Penrose conformal diagram probably refers to a quantum of black hole or white hole. Often people refer to the truncated diagram such as the one below. In effect the entanglement is removed or ignored, and the entropy associated with that is defined by the entropy of a single black hole.  The elementary diagram, such as the one I included yesterday, is an idealization. A real black hole has a massive entanglement with other states. I think the are with Hawking radiation and BMS symmetries that escape to ℐ^+, instead of with another black hole in a huge number of bipartite entanglements. 

Susskind has this idea of ER = EPR, where Hawking radiation is entangled with black holes in a sort of wormhole manner. I think this is really with BMS charges and not so much with wormholes. The wormhole aspects from this stem from the local negative energy vacua near a black hole, say the Boulware vacuum, and the symmetries of this are taken off to ℐ^+ as ancillary symmetries of spacetime not found in i^0. So large astrophysical black holes are in a sense messy and we do not observe these entanglements and instead see a large number of separable states with thermal entropy.

LC


Penrose diagram for Schwarzschild truncated.jpg

Lawrence Crowell

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Jul 18, 2020, 8:06:14 AM7/18/20
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For some reason my images don't show up right the first time I send.

Penrose diagram for Schwarzschild truncated.jpg

spudb...@aol.com

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Jul 18, 2020, 4:18:37 PM7/18/20
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Do you have any sense of the possible implication of Penrose's Schwarzchild's black hole, in regards to cosmology?


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Lawrence Crowell

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Jul 18, 2020, 7:20:40 PM7/18/20
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I have been working with someone on transformations between de Sitter, anti-de Sitter spacetimes with type D black hole solutions. 

LC

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