Castling and the 4th Dimension

Hey Macer, you forgotted to take into consideration that the peices can use instant transmission technique like Goku

The main issue is trying to explain a four dimensional concept on a two dimension surface.

Loved the post

I was thinking... if the board was in a fourth-dimensional world, and castling is being done using an ortogonal axis to the other two dimensions of the surface (ie, of the board);

this would mean that the chess board surface is actually three-dimensional, and therefore it should have a size of 8x8x8 hyperflat cubes instead of 8x8 squares, since the hyper surface of such fourth-dimensional world is three-dimensional and not bidimensional.

Otherwise, in the case of chess world has two horizontal dimensions (ie, the surface  is bidimensional), the other two dimensions would be vertical and not solid, ie, would be the same that have only one vertical dimension in relation to knight leaping - castling.

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the other two dimensions would be vertical and not solid, ie, would be the same that have only one vertical dimension in relation to knight leaping - castling.

We are not trying to understand chess in the real spacetime we live in.  Instead we are creating  a 2d chess spacetime that parallels the real 4d spacetime.

the idea is to create an imaginary 2d chess  physics world for kids.  A world that will  stimulate their minds to explore science in a more structured  real life like way.  Or at least from a fresh new perspective.

tldr?

t stands for what word?, l stands for what word?, etc.

I feel a book coming on. Some of this model sounds ridiculous to most, I'm sure, but I know that some of it is well-founded. So why not go all the way and publish this as a book?

More like Too Lazy  Didn't Read.  or, Not Interested Didn't Read

Knock yourself out!  I will help for real.

Macer, brilliant post!  Your thesis presents a rather straightforward application of logic utilizing the phenomena of teleportation (time manipulation) and quantum entanglement (also time manipulation).  Indeed, as I present below, there is no real linear chronological sequence!  First, as an aside, some replies deviate too much and completely butcher your original argument with overanalysis (although many of their points are still valid).   Therefore, I will do my best to neither subtract nor add from the context of the original argument.

You wrote:

"For one, it is unclear whether the king or the rook (or both) is the piece with the power to move in the 4th dimension. Judging from common sense, it seems likely that it is the king, given that the king is the most important piece in the game (whereas the rook, other than being fairly powerful, is otherwise indistinguised), and can castle with either one of two rooks (so if it is the rook, then the power must be posessed by two pieces, whereas if it is the king it only needs to be be posessed by one). Nevertheless, at present there does not seem to be a way to answer the question with any degree of certainty."

I digress!  If we stick to the points of your original argument, then it is the King, and only the King, who has the power to move in the 4th dimension!  The King, in this case is the independent variable, whilst the rook is the dependent variable.  1)  The King, under normal circumstances, can only move one square at a time per turn.  2)  The King, under official Chess rules, is the first piece to move in Castling.  3)  The Rook, under normal rules, can move multiple squares in a straight line per turn, so it does not require any special powers to traverse more than one square at a time per turn.  4)  Therefore, it is the King who must utilize the higher powers of the 4th dimension to castle as he moves greater than one square to reach his destination (via teleportation), while, during transit, the rook (via quantum entanglement with the King) can move under normal chess dictate to its destination.  Moreover, the rook has to move to its destination (also supporting the notion of quantum entanglement) before the King re-materializes!  Therefore, if you look at it from this perspective (and to satisfy your argument that pieces cannot move through one another), in Castling, there are actually three moves! The King moves twice,  and will always be the first and last piece to move in the Castling process!  To simplify:  1) First move -- the King temporarily disappears into the 4th dimension.  2)  Second move -- The Rook moves normally to its destination square.  3)  Third move -- the King materializes on his destination square.   This circumvents the known laws of time in this dimension as King completes his move "before" and "after" the Rook.  So the process is non-linear.

If anyone is wondering why I'm not responding to comments... this thread seems to be going along just fine without me. I'm following the comments closely, and many of them I find very interesting, but I want to continue to observe for a while where this thread leads before adding my input. In time though I will respond to some of the comments that particularly intrigue me.

tldr of OP (too many people asked for this)

Castling is weird. Rook can't possibly pass through King. Must be some crazy science behind this. 

Happy now?

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Take a look at posts #37, #38, #39, and  #40.  These posts will answer a lot of your questions about castling , and other issues.

Thank you!!! Before creating this thread, I considered including a one-sentence abstract at the beginning of the OP, but by the time I was done writing the whole thing I forgot about it. That is a very nice summary.

I'm just glad to know that I am not the only one who goes around thinking about this stuff.  crazy loves compaany

Wormhole mechanism have been ancient people culture.

You think that the 1200 posted on my icon is my real rating?  lmao!