What would be the meaning of a square second?

Question

And more questions:

The squared second, would it represent another dimension?
Are spacial dimensions limited to the 3rd? If not, then what would be the 4th, 5th, 6th, etc?

Could infinite/3 be represented by 3 parallel parabolas?*

*My reasoning on this one: This would divide infinite into 3 seperate sections. As you went farther along each section, they would grow closer to one another, but being 3 seperate sections they would never meet (like 3 parallel parabolas). So am I way off, or do I have a good concept?

ADD:

Dimension 1- Represented by a Line
+You can move "left" and "right"

Dimension 2- Represent by a Box
+You can move "left","right","forward",and "backward"

Dimension 3- Represented by a Cube
+You can move "left","right","forward","backward","up",and "down"

Dimension 4 - Represented by a (?) Moving Cube (?)
+(Please explain movements)

Dimension 5- This is where I'm really wondering. Take dimension 4 and square it. The previous dimensions could be represented like so: http://en.wikipedia.org/wiki/Image:Dimoffree.svg

So take dimension 4 squared, like how dimension 1 could be a number line, and the numbers on it squared to make a 2D object, and that squared to make a 3D object.

If the 4th dimension is time, and the unit of time is a second, then what is a square unit of time represented by?

Answer 1

I've never heard of any superstring or M-brane theory with more than one temporal dimension, so a 'square second' would be meaningless. But if you take the first derivative of a spatial dimension with respect to time, you get a velocity (meters per second). The second derivative gives you an acceleration, ((meters per second) per second), commonly abbreviated meters per (second squared). But that's just an abbreviation for meters per second per second. And it's still a single spatial dimension compared to time. A two-dimensional analogy would be to compare the area of a circle with time. For three spatial dimensions, you could compare the volume of a sphere (like a balloon) with time.

Answer 2

i believe it has to do with moving objects and also the area of an object.

I'm not sure I follow you...but why not 6 or an infinite amount of parabolas?

Answer 3

you know i was just thinking about that the other day.