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RECENT POSTS IN THIS TOPIC

Author Yuri Danoyan+: on 5/6/11 at 0:59am UTC, wrote So smart author no entry best 35. It is not fair play! Why did you went...

Ayind Mahamba: on 3/14/11 at 18:52pm UTC, wrote Hello Johannes, congratulation for your essay! I don't know if we are...

Author Yuri Danoyan+: on 2/25/11 at 3:06am UTC, wrote It seems to me the Holographic Universe only true answer. ...

Johannes Koelman: on 2/4/11 at 2:05am UTC, wrote Dear Narsep -- the XOR rule is an example, and nothing more than that....

ioannis hadjidakis: on 2/3/11 at 7:47am UTC, wrote Dear Koelman, The physical meaning of XOR rule may be that: local...

Johannes Koelman: on 2/2/11 at 1:52am UTC, wrote Ok, with 1), 2) and 3) solved, let's see if we can also sort out 4). In...

narsep: on 2/1/11 at 11:52am UTC, wrote 3) I am wrong again. XOR rule is used in superposition as well. narsep

Ioannis (narsep): on 2/1/11 at 11:47am UTC, wrote Dear Koelman, Thank you for your informative respond. 1) OK although rule...


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FQXi FORUM
October 21, 2019

CATEGORY: Is Reality Digital or Analog? Essay Contest (2010-2011) [back]
TOPIC: How To Build Holographic Spacetime by Johannes Vianney Koelman [refresh]
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Author Johannes Vianney Koelman wrote on Jan. 25, 2011 @ 11:53 GMT
Essay Abstract

Is it possible to render holographic spacetime starting from simple discrete building blocks? I will demonstrate that not only is the answer 'yes', but also that to do so, surprisingly simple building blocks suffice. Holographic 2D toy models result that you can play with and investi-gate in terms of De-Bruijn-type sequences, dual descriptions and path sums.

Author Bio

Johannes is a physicist who holds a PhD from Eindhoven University of Technology. He blogs on subjects including cosmology, relativity and quantum physics and is a featured writer on Science 2.0. Johannes is affiliated with a Fortune Global 500 company in the role of chief scientist.

Download Essay PDF File

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ioannis hadjidakis wrote on Jan. 31, 2011 @ 12:46 GMT
Dear Dr. Koelmann,

I think your essay concludes to right results and worth much attention.

Please see attachement,

Regards,

Ioannis

attachments: Dear_Koelman.doc

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Author Johannes Vianney Koelman replied on Feb. 1, 2011 @ 01:23 GMT
Hello Ioannis -- thanks for your kind words.

A quick reaction to answer your questions.

1) The 'puzzle pieces' are constructed such that putting them together enforces a XOR relationship between the blue disks and the (yellow) voids. You can indeed build the same pattern using the puzzle pieces you proposed, but these can also fit together in many ways that violate the XOR relationship.

2) Not sure what you mean by 6 bits being only needed for the second configuration in figure 2. Can you elaborate please?

3) The superposition you can imagine as resulting from putting the left and middle configuration of figure 2 on top of each other. There where two blue disks are stacked on top of each other, you remove both disks. In all other circumstances (0 or 1 disks on top of each other) you leave the situation as is. The configuration that results is the one shown on the right-hand side of figure 2.

Regards,

Johannes

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Ioannis (narsep) replied on Feb. 1, 2011 @ 11:47 GMT
Dear Koelman,

Thank you for your informative respond.

1) OK although rule applied is said to be XOR and not enforcement is necessary (the difference to clarity is tremendous).

2) Sorry it is my fault (7 bits are needed).

3) So in superposition no XOR rule is used (instead: 11 >0, 00 >1, 01 >1, 10 >1)

4) I would insist for the meaning of "degrees of freedom" in your essay.

regards, narsep

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narsep replied on Feb. 1, 2011 @ 11:52 GMT
3) I am wrong again. XOR rule is used in superposition as well.

narsep

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ioannis hadjidakis wrote on Feb. 3, 2011 @ 07:47 GMT
Dear Koelman,

The physical meaning of XOR rule may be that: local interactions are due to the differences between two static entities and when there are differences between two static entities global interactions occur. Any interaction (event) takes place in virtual part of our world while real part accommodates the static entities.

I wonder whether meaningful (and useful) results could be extracted if asymmetric rules (time asymmetry) are used in your systems (e.g. 00 -> 0, 11 -> 0, 10 -> 1, 01 -> 0 or 00 -> 0, 11 -> 0, 10 -> 0, 01 -> 1).

(I am absorbing your response for the "degrees of freedom"). It is needless to express my thanks for any of your replies.

Regards, narsep

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Author Johannes Vianney Koelman replied on Feb. 4, 2011 @ 02:05 GMT
Dear Narsep -- the XOR rule is an example, and nothing more than that. Other rules can be chosen, and the same holographic statistics will result.

However, you have to avoid selecting a rule that leads to some degenerate behavior. With two binary inputs here is not much room to maneuver. The XOR rules work quite well, but the (spatially asymmetric) variant you propose will lead to rather uninteresting straight line patterns.

If you start working with two trinary inputs (or even higher number of allowed cell values) many more possibilities open up. Selecting a rule randomly will almost always lead to 'rich' patterns and holographic scaling.

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Author Yuri Danoyan+ wrote on Feb. 25, 2011 @ 03:06 GMT
It seems to me the Holographic Universe only true answer.

http://www.fqxi.org/community/forum/topic/946

Good luck!

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Ayind Mahamba wrote on Mar. 14, 2011 @ 18:52 GMT
Hello Johannes,

congratulation for your essay!

I don't know if we are exactly on the same line but I think you'll enjoy reading my essay because of my proposition for "simplexity" as a good answer to the"holographic" approach...

(see my essay here http://www.fqxi.org/community/forum/topic/952)

Best regards, good luck for the contest

Ayind Mahamba

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Author Yuri Danoyan+ wrote on May. 6, 2011 @ 00:59 GMT
So smart author no entry best 35.

It is not fair play!

Why did you went to industry?

All the best.

Yuri

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