Thursday, August 21, 2008

How Do You Cut A Space?

Someone linked me to a blog with this on it in my comments.

I respond by saying, "This is why if our physical world is four-dimensional, it can never interact with anything of higher or lower dimensions."

Or perhaps I should say not 'why' but 'for the same reason'...

In any case, it all relates.

4 comments:

James Andrix said...

Why can't points exist independently of the process of cutting up lines?

Alrenous said...

Basically because physically speaking, points cannot interact with lines.

The intersection length is always zero, leading to a zero percent chance of interaction.

This is better seen in 2d vs 3d.

Imagine a cartoon 2d thing. So you can see it from the front, but not the side - it disappears.

But wait! This is real physics. If it is gone from the side, it can't suddenly not be gone because of a change in perspective. It's just as gone from the front too.

The intersection volume is always zero.

So sure it can exist independently - completely independently, and only completely.

James Andrix said...

The intersection length is always zero, leading to a zero percent chance of interaction.

You're talking about mathematical constructs.
Got proof? or are you just using mathy words again?

The intersection volume is always zero.

But the intersection area is nonzero, What effect might nonzero area have in two dimensional physics?

Alrenous said...

I have one question.

How many university physics courses have you taken?

But that's mostly rhetorical.

If you're going to say things like that, I don't know why you come here.