2 dimensions into 3 dimensions

[The God]

ok here comes one of the extensions I had in mind:

A sphere with a diameter of 1/infinity (infinitesimal)
Describe the spheres volume



worth discussing?

Can be described if you can describe the existence of 1/infinity in physical world.

 

[The God]

Locally the planet follows a 'straight line' i.e. geodesic path through spacetime, but the global geometry cannot be encapsulated in anything corresponding to 'straight lines' Euclidean.

Exactly, this is Physics here, rather forced physics and mandated due to Einstein's nonacceptance of gravity as force.

 

[river]

Can be described if you can describe the existence of 1/infinity in physical world.

What does 1/infinity even mean ?

 

[Quantum Quack]

What does 1/infinity even mean ?

what do you think 1 divided by infinity means?
(I am too lazy to use tex)

 

[The God]

what do you think 1 divided by infinity means?

You proposed a sphere of radius 1/infinity...

 

[Quantum Quack]

You proposed a sphere of radius 1/infinity...

but if the diameter is 1/infinity as I proposed and 1/infinity is the limit then what would be the radius?

 

[The God]

but if the diameter is 1/infinity as I proposed and 1/infinity is the limit then what would be the radius?

Undefined or makes no sense.

 

[Quantum Quack]

Undefined or makes no sense.

so the contents or volume of the sphere is nonsense or ... dare I suggest non-existent.
(zero dimensional)

 

[Quantum Quack]

The reason I brought this extension up is that we were discussing mathematical abstractions colliding with physical realities. Here we have both I think....

With this sphere of infinitesimal diameter you have a mathematical abstraction that could be deemed a physical reality. ( sort of)

 

[river]

so the contents or volume of the sphere is nonsense or ... dare I suggest non-existent.
(zero dimensional)

Does the sphere exist ? To you QQ ?

 

[Quantum Quack]

Does the sphere exist ? To you QQ ?

why do you ask?

 

[river]

why do you ask?

Because of the suggestion of non-existence in your post # 48

 

[Quantum Quack]

any way I think it describes a point particle

 

[river]

any way I think it describes a point particle

So the sphere is a point particle ?

 

[Q-reeus]

Undefined or makes no sense.

See the answer with (currently) 18 +ve votes here: https://math.stackexchange.com/questions/1372459/one-divided-by-infinity-is-not-zero
Common sense has to be applied sometimes, rather than rigid formalities.

 

[Quantum Quack]

So the sphere is a point particle ?

not quite... the volume of the sphere maybe but not the sphere itself..Important distinction perhaps.

 

[Quantum Quack]

See the answer with (currently) 18 +ve votes here: https://math.stackexchange.com/questions/1372459/one-divided-by-infinity-is-not-zero
Common sense has to be applied sometimes, rather than rigid formalities.

I would have intuitively considered 1/infinity as being an infinitesimal. Certainly not zero. I presumed that this was common knowledge... My mistake... sorry

 

[river]

not quite... the volume of the sphere maybe but not the sphere itself..Important distinction perhaps.

Discuss the difference

 

[Q-reeus]

I would have intuitively considered 1/infinity as being an infinitesimal. Certainly not zero. I presumed that this was common knowledge... My mistake... sorry

Maybe you missed what i was hinting at QQ. Nitpickery over the formal distinctions may excite pure mathematicians, but leaves me shaking head. Which is why I like physics - definitions have to mean something useful and testable in the real world.

 

[river]

I would have intuitively considered 1/infinity as being an infinitesimal. Certainly not zero. I presumed that this was common knowledge... My mistake... sorry

Then why bother with this 1/infinity in the first place ?