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| < Science ~ Dimensions |
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 Posted:
Sat Jan 01, 2005 10:54 pm
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Novice
Joined: Jan 01, 2005
Posts: 5
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A hot discussion at themoment in both maths but mainly science - the existance of other dimensions. Probally most noticable an element od Strings in this day and age. I have long conceived that further spacial dimensions beyond our own is the way ahead.
Are theyany mathmaticians od Physicists in here that have any thoughts on Riemannian Geometry?  |
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Mon Jan 03, 2005 4:54 am
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Rising Star
Joined: Dec 01, 2004
Posts: 19
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| Hello Jordan. Please check my crazy article about that issue. Thanks |
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Thu Apr 07, 2005 1:05 am
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Expert
Joined: Nov 17, 2004
Posts: 158
Location: Egypt
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| Jordan14 wrote: |
A hot discussion at themoment in both maths but mainly science - the existance of other dimensions. Probally most noticable an element od Strings in this day and age. I have long conceived that further spacial dimensions beyond our own is the way ahead.
Are theyany mathmaticians od Physicists in here that have any thoughts on Riemannian Geometry? |
Dimensions are basically mathematical entities not natural entities.
Take for example an array of boxes.
If it was a single dimensional array then it is a row or a column of boxes but if it was a two-dimensional array then we expect it to have both rows and columns.
3D arrays add a z depth of many 2D planes.
This concept explodes in matrices and powers.
2^4 (two to the power four) is an abstract way of expressing 2 x 2 x 2 x 2.
As you can see the power 4 is that of a hyper-matrix.
The number of dimensions of a matrix is unlimited, but mathematical manipulations do not mean that there are hidden dimensions in the universe from which aliens could pop in, because that is mere fantasy.
A shoebox is a 3D object that when you throw will occupy a 4D hyperspace within the time interval of its motion. A spinning ring that spins around its diameter as an axis would literally close a spherical shell adding a dimension because rings are 2D circles while balls are 3D spheres.
Every time we add a complexity degree to the pattern of motion of a system we technically add a dimension.
In topology, we consider every set of three orthogonal spatial dimensions to be a world.
A world-line is a 4D entity because time is represented as a fourth spatial dimension.
An electron in an atom in a molecule in an organelle within a living cell in a tissue in an organ in a human in a house in a city on earth in the solar system in the galaxy is quite a degree of complexity already, don’t you think so?
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Hemetis |
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Tue Jun 21, 2005 7:06 am
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Joined: Jun 21, 2005
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The 4th dimension is the movement of the first three.
Let us say we a have a flowing aether. If you were to catch up to it your time would slow down and your space would shrink.
So relativity is the result of dynamic dimensions.  |
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| Posted:
Fri Jul 01, 2005 5:58 am
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Expert
Joined: Nov 17, 2004
Posts: 158
Location: Egypt
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| Nick wrote: |
The 4th dimension is the movement of the first three.
Let us say we a have a flowing aether. If you were to catch up to it your time would slow down and your space would shrink.
So relativity is the result of dynamic dimensions. |
Dimensions do not move. They are degrees of freedom.
The 4th dimension is identical to the first three.
Move a point to draw a line.
Move a line to paint a surface.
Move a surface to fill a volume.
Now move a volume in 3D space and you get the hyper space occupied by that volume over a finite time interval.
In other words the 4th dimension is also a LENGTH dimension.
Then if a line is measured in cm, a surface in cm^2, a volume in cm^3, then a hyper-volume is in cm^4.
It is that simple.
Neither time would slow nor length would shrink, and relativity is not about any dynamic dimensions.
Length contraction and time dilation started out as artefacts of remote reporting of intervals across the void, mediated by light and hence the information is topologically deformed. Nothing _REAL_ is deformed other than the information only.
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Hemetis |
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Fri Jul 01, 2005 9:03 pm
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Joined: Jun 21, 2005
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How do you know dimensions don't move?
How do you know they are not dynamic? |
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Sat Jul 02, 2005 3:34 am
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Expert
Joined: Nov 17, 2004
Posts: 158
Location: Egypt
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Nick, what is it that you think {Degrees of freedom} mean?
Check your knowledge by reading this
<http://en.wikipedia.org/wiki/Degrees_of_freedom>
As a good metaphorical representation let us imagine this:
1- We have a metallic ball that fits barely freely inside a rigid tube.
The ball may roll from side to side along one single axis.
2- We have a metallic ball that fits barely freely between two rigidly spaced parallel lamina.
The ball may roll all over the plane along two axis combined.
3- We have a metallic ball that is freely suspended inside a vast rigid container.
The ball may jump freely along three axis combined.
Notice that I have intentionally introduced the qualifier [rigid] to explain to you that dimensions do not move.
Objects within dimensions move, but dimensions are abstract limitations and may not move.
Motion as a concept demands a rate of change, which demands time to be involved.
How can you move [Length] over time, which is velocity and still call it the dimension of length?
Even [Velocity] as a derived dimension is used to describe motion, while velocity does not move because it is not an object. Motion is the change of spatial coordinates over time scale. Velocity changes are not motion but acceleration.
A good scientist must be extremely rigorous when using definitions and meanings to avoid getting confused or / and confusing others.
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Hemetis
Last edited by HEMETIS on Wed Jul 06, 2005 4:53 pm; edited 3 times in total |
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Sat Jul 02, 2005 4:16 am
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What about Relativity Hemetis?
Space extension changes with movement!
That is dynamic.
I say dimensions are dynamic. If they move
their movement can be caught up to.
This motion is the metaphysical basis of space-time.
That would be why space shrinks and time slows.
I say dynamic dimensions are the future! |
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| Posted:
Sat Jul 02, 2005 11:43 am
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Expert
Joined: Nov 17, 2004
Posts: 158
Location: Egypt
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| Nick wrote: |
| What about Relativity Hemetis? |
What about it!
I gave you a link to an encyclopaedia on line.
I am not responsible for explaining fiction related to a misunderstood hypothesis.
You asked me a question and I answered honestly, correctly and scientifically.
If it is your choice to join the hordes of Einstein worshipers, then this is your problem not mine.
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Hemetis |
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| Posted:
Sat Jul 02, 2005 8:14 pm
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| HEMETIS wrote: |
| Nick wrote: |
| What about Relativity Hemetis? |
What about it! |
The dimensions of objects change with movement.
That's what I mean by Relativity! |
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| Posted:
Wed Jul 06, 2005 5:40 am
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Joined: Nov 17, 2004
Posts: 158
Location: Egypt
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Ah! Those dimensions!
Like width, length, and height!
Indeed, a shaky wagon does it all the time.
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Hemetis |
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