Thread: 3-D, primes and stability, could they be related?

In our 3-D world, any three points lie on a plane. In my way of looking at it this defines a stability and is one of the mathematical realities of being in a 3-D realm of dimension. If all dimensions can exist, do you think it is possible to determine that the existence and properties of prime numbers demonstrate where dimensional stability may exist in our collective dimensional universe. That 4-D may prove to be unstable because 4 is a divisible (nonprime) number? That 5-D may prove to be the next higher stable dimension with an actual physical existence? I appreciate your thoughts pro and con, thanks.

Four point determine a space just like three points determine a plane. Seems to work.

Even with my admitted poor mathematical background I have always had this "gut feeling" that this, in some way, has some merit. And I also feel that perhaps primes have something to do with additional stability effects in our own 3D universe, but you can't go on a gut feeling in science so I am afraid that I can't really speak about the topic with any useful input.

I'm with grapes, at least in a Euclidean space. I suspect there may be some subtleties involved in non-Euclidean space.

The equation of a three-dimensional subspace in a four-dimensional space indexed by (x,y,z,u) is



One degree of freedom is illusory (we can just scale the whole equation), the four non-coplanar points nail down the other four.

From what I understand from the OP, he's saying dimensions exist only in primes: 3, 5, 7, and 11 (the number of dimensions association with M-theory). I don't buy it. There are either three spatial dimensions and one of time and nothing else, or as string/M-theory suggests, there are 10 or 11 dimensions, most of which exist as knots in spacetime at the subatomic level.