Holographic projections onto the surface of a sphere

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Discussion Overview

The discussion revolves around the concept of holographic projections, particularly in relation to the holographic principle and its implications for understanding the universe, black holes, and information theory. Participants explore theoretical frameworks, such as AdS/CFT correspondence, and consider the nature of information representation in a holographic context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants inquire whether the idea that events within a boundary can be described by projections onto a surface is an accepted concept in physics.
  • Others reference the AdS/CFT correspondence and the holographic principle, suggesting that all information within a volume can be represented on its boundary.
  • A participant discusses Leonard Susskind's theories regarding information on black hole horizons and the implications of a finite universe containing all information at its boundary.
  • There is mention of the concept of a stretched horizon and how information is thought to be pixelated at the boundary of a region of space.
  • One participant reflects on the uncertainty of information location in a holographic context, likening it to the Cheshire Cat's elusive nature.
  • Another participant emphasizes the perspective of distant observers regarding in-falling objects and how they appear to be spread across the event horizon rather than crossing it.
  • Discussion includes the idea that the entropy of a black hole is related to the area of its event horizon, raising questions about whether our universe could similarly be described as a black hole.
  • Participants express curiosity about potential experiments that could determine if our universe behaves like a black hole.

Areas of Agreement / Disagreement

Participants express a variety of viewpoints regarding the implications of the holographic principle and its application to the universe and black holes. There is no consensus on the interpretations or implications of these concepts, and several competing ideas are presented.

Contextual Notes

Participants acknowledge the complexity and uncertainty surrounding the holographic principle and its implications, with some expressing a lack of complete understanding of the concepts discussed. There are references to various theories and interpretations that remain unresolved.

Who May Find This Useful

This discussion may be of interest to those exploring theoretical physics, particularly in the areas of black hole physics, information theory, and the holographic principle.

geordief
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I was reading the Scientific American latest edition and it was claimed that everything within the boundary of a particular timeframe volume can be described equally well by the projection of each event onto the surface.
Is this accepted dogma?
Suppose I picture (apparently I can't but anyway...) the surface as an irregularly shaped bubble are the events within the boundary projecte onto the suface as entirely 2 dimensional or , if they are pancake shaped does that make them 3 -dimensional?
Apologies in advance for my clear ignorance of the subject and also if I have posted in the wrong forum
 
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Sounds like you're asking about AdS/CFT correspondence and the holographic principle. Take a look at this article http://www.sns.ias.edu/~malda/sciam-maldacena-3a.pdf, it might help provide some clarity.
 
thanks
I'll take a look at that
 
You can get an introduction here:
http://en.wikipedia.org/wiki/AdS/CFT

Holographic information is a favorite of Leonard Susskind...he has some interesting theories regarding information on black hole horizons...any horizons. For example, one can conjecture that if our universe is finite and bounded, the boundary contains all the information that we think of classically as contained within the inerior volume.

Susskind has some very interesting approaches in THE BLACK HOLE WAR where he describes he decades long arguments with Stephen Hawking on information loss in black holes...
a few of his explanations:

Today a standard concept in black hole physics is a stretched horizon which is a layer of hot microscopic degrees of freedom about one Planck length thick and a Planck length above the event horizon. Every so often a bit gets carried out in an evaporation process. This is Hawking radiation. A free falling observer sees empty space.

Everything inside a region of space can be described by information bits restricted to the boundary. The world is pixilated! The maximum number of bits of information that can fit in a region of space is equal to the number of Planck sized pixels that can be packed on the area boundary…a hologram. (304)

The question of where a [particular bit of information is located does not have a unique answer. Each successively larger boundary includes all the previous information until we come to the boundary of the universe or infinity..….ordinary Quantum mechanics makes an objects location slightly uncertain; the holographic principle means every time we seek the location of information on the hologram it’s always out at the next level!
 
Naty1 said:
the holographic principle means every time we seek the location of information on the hologram it’s always out at the next level!
not to pretend that I have absorbed with the information in the replies to my post yet but that sounds somehow both familiar and reassuring...a bit like the Cheshire Cat.
 
Those three paragraphs I posted were not precise quotes...I shortened ideas...so it's not like I have been studying such things for decades and understand all the implications...but one thing is for sure: the more we learn the less "reality" is what it appears.
 
The Cheshire Cat appears and disappears when we start worrying about what an in falling observer experiences. But since an in falling observer cannot communicate what it is they observed after passing through the event horizon, it seems to me that we should spend not so much time worrying about it. Rather, IMVHO, we should consider what an in falling object looks like to a distant observer. Considering GR, an in falling object never makes it past the event horizon. Rather it's spread across the surface of the event horizon and red shifted into infinity. Thus, everything that "falls into a black hole" exists on the 2D (+t) surface, from the perspective of the distant observer.
 
an example is a black hole, the overall entropy is counted by the amount of plank squares on it s surface (The surface of the event horizon) This shows that the information that tells you about the black hole is kept on the surface. What if this describes our universe, what if our universe's information is kept on a 2D surface at the edge of our universe. The information exchange that happens there describes what we do here :D
 
I think I read that our own universe could be described on its outer suface if it was a black hole (unless I am misremembering -or if that was just one of the theories that allowed this).

So how would we know if our own universe was a black hole ? Are there any experiments that could have a bearing on this?
 

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