Time and other Dimensions

[Guille]

What do you think that is the relationship between time and other dimensions?

Not only I mean spatial, but any other dimension you believe to exist (such as "energy is a dimensions" or "force dimension")...

I would like it if you include a "why" part in your post.

[AntonioLao]

One part of this discussion is to clarify the dimensionality of time. The question is why time is commonly agreed as one dimensional. However, the intersection of two 2-dimensional planes is a 1-dimensional line. Analogously, time is the intersection of 2 planes of existence or level of existence (LOE). If two or more parallel planes never intersect then they don't share a common time-line.

[Guille]

hum....

This is about sharing time-line, what about sharing space-line?

[AntonioLao]

This is about sharing time-line, what about sharing space-line?

Sharing space-line is implied if and only if the normal and binormal unit vectors are defined. The normals, binormals, and tangents are described in books about differential geometry.

[Guille]

Sharing space-line is implied if and only if the normal and binormal unit vectors are defined. The normals, binormals, and tangents are described in books about differential geometry.

What are normal and binormal unit vectors?

[AntonioLao]

What are normal and binormal unit vectors?

It is really hard for me to describe without the use of picture. However, for now, the following site can better explain it in vector notations. I'll keep looking for a site that shows pictures.

http://tutorial.math.lamar.edu/AllBr...malVectors.asp

here is another with just a picture of the normal vector.

http://mathworld.wolfram.com/NormalVector.html

here is a description of a binormal vector, which is just the outer product of the normal vector and the tangent vector.

http://mathworld.wolfram.com/BinormalVector.html