# B Flatlanders in the 3rd dimension "Hyperspace"

1. Nov 14, 2016

### ChrisisC

Is the 4th dimension right under our noses?

In the book "Hyperspace" written by Machio Kaku (fantastic book, check it out), Kaku uses what he calls "flatlanders" to depict how, us, 3 dimensional people, could actually be involved in the 4th SPACIAL dimension (4th dimension is not used in the sense of "time" but space in this scenario). Kaku says that 2 dimensional flatlanders like on a line, to these flatlanders, they can only move Up,down,forward and backward, just like humans can only move up,down, forward, backward, and side to side. But Kaku says that a flatlander sciemctists studies this line and realizes that it's actually 3 dimensional. The people of flatland couldn't tell
they were on a 3 dimensional shape because the width of the line was just too small to
observe, so bringing that into real life... Are we humans those flatlanders? Could the 4th dimension be too small to observe directly? what are your thoughts?

2. Nov 14, 2016

### Staff: Mentor

I'm not sure what this means. Can you elaborate?

3. Nov 14, 2016

### jbriggs444

Traditionally a "flatlander" lives on a plane or, if one is trying to introduce curved geometry, a sphere. See https://en.wikipedia.org/wiki/Sphereland. A very good read.

4. Nov 15, 2016

### ChrisisC

In Kakus scenario, Flatlander people live on a line. Which is 2 dimensional.

5. Nov 15, 2016

### Staff: Mentor

You sure you don't mean a plane? A line is 1d while a plane is 2d.

6. Nov 15, 2016

### Staff: Mentor

7. Nov 15, 2016

### phinds

8. Nov 16, 2016

### ChrisisC

I'm reading his book "Hyperspace" which was written in the 1990's... It seems to make a ton of sense and the way he uses analogies to help the reader understand is quite fascinating, when particularly did he begin to stray away from his professionalism?

9. Nov 16, 2016

### ChrisisC

Oops! I apologize I thought that a point like particle was 1 dimenstional, and then a like was 2. But a point like particle would be 0 dimensional??? i don't understand how something could be 0 dimensional?

10. Nov 16, 2016

### jbriggs444

How many coordinate values does it take to describe the position of something already known to be on a particular plane: 2
How many coordinate values does it take to describe the position of something already known to be on a particular line: 1
How many coordinate values does it take to describe the position of something already known to be at a particular point: 0

The "dimension" of a space is [roughly translating the concept from linear algebra] the number of coordinate values it takes to define a position within that space.

11. Nov 16, 2016

### ChrisisC

Thanks for putting this in simpler terms! I'm trying to gather as much knowledge as possible

12. Nov 16, 2016

### phinds

At least 10 years ago, probably more.

And he "strayed away from his professionalism" only in the sense that he CHANGED professions. He used to be a professional scientist, now he's a professional gadfly and I'm sure he gets paid much better now.