Fourth Spatial Dimension 101

[Ðekel]

since i have not found a discussion category for Science proper, i thought i'd post this video here as it could pass for 'outer space' sciences.

http://www.youtube.com/watch?v=uDaKzQNlMFw

The video discusses the possible spatial attributes of the 4th dimension.
these attributes are conjectured by looking at the relationships between 2D and 3D space.

even though the synthesized voice in the video can be a tad off-putting, i found the info to be, nonetheless, interesting and presented in a simple manner.

enjoy.

 

[RobertB]

The 3D mind reels at the thought of 4D.
Reminds me of the example of trying to describe eating Ice Cream to an inhabitant of an equitorial region who has no experience of ice, refrigeration or any form of freezing temperatures.
It'a a tall order to fill.

 

[Ðekel]

RobertB,

i like the analogy with the ice-cream.

anyone interested in more on this can Youtube search; 'Carl Sagan 4th Dimension'. his explanations are also interesting.

 

[Archaea]

I think it might be possible to view an implied 4th spatial dimension using a magic eye, 3D movie/T.V. technology, or even just plain old stereoscopic (red/green) 3D glasses. Since these methods project a 3D object out from a 2D surface it might be possible to break M.C. Escher's triangle into it’s three 3d components and then link them together into a complete object.

A picture of Escher's triangle can be found at http://en.wikipedia.org/wiki/Penrose_triangle

Since Escher's triangle implies a 4th dimension, popping this image into 3D may allow a viewer to perceive the implied 4th dimension.

I think 1 of 3 things may happen:

1) The object is perceived as a normal 3D object.
2) The 4th dimension is perceived as time.
3) The 4th dimension is perceived directly.

The second option is interesting because the point in “time” which is perceived may depend on where the viewer is focusing, however, the third option is probably more interesting.

 

[PerihelionX]

Dimensionality of space my be variable over time. Science is attempting to detect the addition of dimensions via gravity wave profiles: http://www.world-science.net/othernews/110316_dimensions.htm

 

[darksai]

since i have not found a discussion category for Science proper, i thought i'd post this video here as it could pass for 'outer space' sciences.

http://www.youtube.com/watch?v=uDaKzQNlMFw

The video discusses the possible spatial attributes of the 4th dimension.
these attributes are conjectured by looking at the relationships between 2D and 3D space.

even though the synthesized voice in the video can be a tad off-putting, i found the info to be, nonetheless, interesting and presented in a simple manner.

enjoy.

A thought just clicked while watching that. If you look at the transparent cube, you can view it in two ways, by shifting your perception of one the 'depth faces' as being in front or behind the other. I THINK, then, that 4D viewing would something like maintaining both of views simultaneously, as well as analogously top and bottom, left and right and inner and outer surface altogether. This could still be far away from true 4D vision, maybe only "3.5D" as objects drawn in 3D perspective can be considered as "2.5D".

 

[adamos]

I think 1 of 3 things may happen:

1) The object is perceived as a normal 3D object.
2) The 4th dimension is perceived as time.
3) The 4th dimension is perceived directly.

The second option is interesting because the point in “time” which is perceived may depend on where the viewer is focusing, however, the third option is probably more interesting.

Hi !
The second option is interesting for me too.

Below is fig. of 4D space model (tesseract) unfolded in 3D space and then there is animaton that is presenting schema/idea of deformation of 4D Hyperspace model to 3D Space model (only 3 segments of its contours for simplycity). This deformation preserves continiuity of Hyperspace. I think that "our" phsical Space is multidimensional (maybe infinite dimensional) Hyperspace which locally it is deformed (somehow - it doesn't matter now how "it works" ) in that way like on animaton (reduction of "accesible" number of space dimensions).

link for animation:

http://www.youtube.com/watch?feature=player_embedded&v=tbRtF2jH0LA


Arrows on the anim. are representing 4-th dimension of Hyperspace.
Look how edges of 4D model representing 4-th dimension are presented in 3D space model. Fourth dimension in that 3D model seems to be everywhere - its like time. Time is everywhere in space. . At last consider that metrical field of space inside 4D model is deforming too. Finally, we can tell that, this 3D space model consist infinite number of cubes "continously sized" ("compressed" or "expanded") inside each other. I think our perception of this "construction" of deformed Hyperspace is responsible for "feeling" time wich is, i think, like "virtual" 4-trh dimesion of Hyperspace. More over - in that model the past, the present and the future are unified - or "phisically" there aren't the past, the present and the future (there isnt't time flow). this only exist "virtually" in our consciousness becouse we are aware of only 3 dimension of space.

And below is analogical deformation 3D space model to 2D space model (maybe it helps for better understanding my concepts).

http://www.youtube.com/watch?feature=player_embedded&v=UjAZuV5dLDM

best regards

sorry for my English
and somebody please teach me how to resize linking images

 

[rs]

Well, if imagining the fourth spatial dimension isn't enough to melt brain cells, try the 10th...

https://www.youtube.com/watch?v=gg85IH3vghA

"Imagining 10 Dimensions - the Movie"

 

[Archaea]

Below is fig. of 4D space model (tesseract) unfolded in 3D space and then there is animaton that is presenting schema/idea of deformation of 4D Hyperspace model to 3D Space model (only 3 segments of its contours for simplycity). This deformation preserves continiuity of Hyperspace. I think that "our" phsical Space is multidimensional (maybe infinite dimensional) Hyperspace which locally it is deformed (somehow - it doesn't matter now how "it works" ) in that way like on animaton (reduction of "accesible" number of space dimensions).

Hi adamos,

I finally got around to getting some more internet and watched those animations, they were interesting. I'd be interested in seeing what they look like using the new 3D TV and 3D movies technology, so you can actually see the 3rd dimension. I also think that using an implied 4th dimension in a 3D wireframe model might let the viewer decide what the depth of certain regions will be, and even make them change by shifting they're view.

Arrows on the anim. are representing 4-th dimension of Hyperspace.
Look how edges of 4D model representing 4-th dimension are presented in 3D space model. Fourth dimension in that 3D model seems to be everywhere - its like time. Time is everywhere in space. . At last consider that metrical field of space inside 4D model is deforming too. Finally, we can tell that, this 3D space model consist infinite number of cubes "continously sized" ("compressed" or "expanded") inside each other. I think our perception of this "construction" of deformed Hyperspace is responsible for "feeling" time wich is, i think, like "virtual" 4-trh dimesion of Hyperspace. More over - in that model the past, the present and the future are unified - or "phisically" there aren't the past, the present and the future (there isnt't time flow). this only exist "virtually" in our consciousness becouse we are aware of only 3 dimension of space.

I too think that what we experience as time is just another dimension of space, however, I think it's verifiable by using Escher's ideas and 3D images. I also think it's important to verify the idea, either logically or experimentally, because if it isn't true then what is true might be much more wacky and interesting. :)

A thought just clicked while watching that. If you look at the transparent cube, you can view it in two ways, by shifting your perception of one the 'depth faces' as being in front or behind the other. I THINK, then, that 4D viewing would something like maintaining both of views simultaneously, as well as analogously top and bottom, left and right and inner and outer surface altogether. This could still be far away from true 4D vision, maybe only "3.5D" as objects drawn in 3D perspective can be considered as "2.5D".

Hello Saieden,

Interesting idea, I think that's kind of like the idea that when in 4th Density we'll be able to see all side of an object at once, not just the side that we're facing. So a 4D movie might look like a 3D image which you can see all aspects of simultaneously and you can decide what point in time your looking at by shifting your gaze along the 4th spatial dimension. (assuming the time is just another dimension of space...)

 

[adamos]

Hi Archaea !
Thank you for your opinion.
For better understanding my "idea of time" I decide to paste link for another my animation (I think it looks better than that in my previous post).

http://youtu.be/qiotMiDDPfw

It's showing schema/idea of deformation of 3D space model to 2D space model (only its contours). When you imagin that cube (3D space model) is "build up" with infinite number of squares (2D spaces) parallelly spaced along 3-th dimension, then you should "see" what happend with this squares in target 2D space model. And, what is important - edges representing 3-rth dimension became "doubled in opposite", "parallel" to space 2D model (they included in) and twisted (angle of twist = Pi). Target model of 2D space is comprising infinite number of "countiniously scaled" squares -it's like spectum in matematical sense - similar to calculus transforms.

And now lets try to extrapolate this deformation 3D->2D to one dimension higher: to think over 4D->3D...
So mayby our phisical 3D space looks like calculus transform - it's STATIC (no time) but we in our minds/perceptions making it inverse (inverse transform) and we obtain "virtual" picture of "spacetime" ?

Sounds good for me (except my not good English ;) ) but could it be true ? I thinking of this idea in every "piece of free time"...


best regards !