how can I describe this using math

I want to describe using math notation. I have a sphere with circumference and density and as the circumference approaches , the density approaches

Edit - I think I mean circumference.

On a little side note, assuming planck length is accurate would it mean that the smallest possible sphere that still obeys the laws of physics be:

Diameter of (planck length)

Circumference of

Area of

Is this correct?

Re: how can I describe this using math

Quote:

Originally Posted by

**uperkurk** I want to describe using math notation. I have a sphere with circumference

and density

and as the circumference approaches

, the density approaches

Edit - I think I mean circumference.

On a little side note, assuming planck length is accurate would it mean that the smallest possible sphere that still obeys the laws of physics be:

Diameter of

(planck length)

Circumference of

Area of

Is this correct?

I would use radius or diameter instead of circumference, and the Plank scales (as I recall) define a black hole, but really there is no real physical significance to therm.

For your sphere I guess you could say . It's the most valid expression I can come up with based on your description.

-Dan

Re: how can I describe this using math

Quote:

Originally Posted by

**topsquark** I would use radius or diameter instead of circumference, and the Plank scales (as I recall) define a black hole, but really there is no real physical significance to therm.

For your sphere I guess you could say

. It's the most valid expression I can come up with based on your description.

-Dan

Thanks, what is the lim thing? As the limit of r goes to 0, the limit of p goes to infinity?

Re: how can I describe this using math

Quote:

Originally Posted by

**uperkurk** Thanks, what is the lim thing? As the limit of r goes to 0, the limit of p goes to infinity?

Yup.

-Dan