The 4ht dimension

∞   Tue Feb 23, 2010 3:48 am GMT
Is it a known unknown? have we put our denial into the third dimensional blender?
it exists   Tue Feb 23, 2010 3:51 am GMT
R4={[x,y,z,w]: x,y,z,w in R1}
****101   Tue Feb 23, 2010 4:26 am GMT
Things are shaping up nicely in this thread, progress is being made. Now let us proceed apace. What is your take on the fifth dimension?
any dimension exists   Tue Feb 23, 2010 4:59 am GMT
Rn={[x1,...,xn]: x1,...,xn in R1}

where n is in N. Set n to whatever you want.
Thor   Tue Feb 23, 2010 5:19 am GMT
Einstein considered the 4th dimension not as an additional spatial dimension, but as a time dimension. String theorists have upwards of 10 dimensions in their theories. I don't know what they consider them to be, though.
4D   Tue Feb 23, 2010 11:13 am GMT
I happen to come from the 4th dimension where distance makes no sense.
Ambassador   Tue Feb 23, 2010 7:26 pm GMT
Greetings traveler from another dimension, enjoy your stay.
Armada   Tue Feb 23, 2010 8:57 pm GMT
Why the number of dimensions must be an integer number? Why not 5.4 dimensions?
it can be   Tue Feb 23, 2010 10:56 pm GMT
<<Why the number of dimensions must be an integer number? Why not 5.4 dimensions? >>


It depends on the type of dimension. Some can have non integer dimensions. For example, fractal dimensions.

http://en.wikipedia.org/wiki/Fractal_dimension
Eddy   Wed Feb 24, 2010 11:57 pm GMT
Three dimensional space is needed to tie one dimensional space in a knot.

Five dimensional space is needed to tie two dimensional space in a knot.

Seven dimensional space is needed to tie three dimensional space in a knot.
pish   Thu Feb 25, 2010 12:13 am GMT
<,Three dimensional space is needed to tie one dimensional space in a knot.

Five dimensional space is needed to tie two dimensional space in a knot.

Seven dimensional space is needed to tie three dimensional space in a knot. >.


Your logic? Your definition of a knot? A knot is strictly a three dimensional concept as far as I know (I don't know any knot theory, forgive me).
Uriel   Thu Feb 25, 2010 6:02 am GMT
Where there is a string theory I think it only stands to reason there should be a knot theory to go along with it....
Mike Kirby   Sat Feb 27, 2010 8:26 pm GMT
There is no 4th Dimension, only the 5th. When Marilyn McCoo went solo, the group disbanded.