48 minutes ago, michel123456 said:

"Two physical objects cannot occupy the same space" at the same time.

They can occupy the same space at different times.

And that makes me think that maybe (maybe) the duplication of the Banach-Torski paradox is the result of not including time in the equation.

Thank you for the reply.

B-T does include time implicitly in that it the unfolding process does not destroy each copy as it is made so they must exist simultaneously.

How about my glass of water?

1 hour ago, studiot said:

B-T does include time implicitly in that it the unfolding process does not destroy each copy as it is made so they must exist simultaneously.

So I was wrong.

1 hour ago, studiot said:

How about my glass of water?

The volume (& mass) will be different but it seems in the mathematical example, volume (&mass) does not matter.

20 hours ago, michel123456 said:

And that makes me think that maybe (maybe) the duplication of the Banach-Torski paradox is the result of not including time in the equation.

Sounds like "begging the question" fallacy. You're assuming that the maths are based on physical processes, and concluding that the paradox has a physical resolution.

Edited September 6, 20196 yr by md65536

8 hours ago, md65536 said:

Sounds like "begging the question" fallacy. You're assuming that the maths are based on physical processes, and concluding that the paradox has a physical resolution.

Studiot wrote:

On 9/5/2019 at 11:31 AM, studiot said:

 

B-T does include time implicitly(...) so they must exist simultaneously.

 

And time is a physical process as much as I know. I wonder how you "include time implicitly" mathematically.

50 minutes ago, michel123456 said:

Studiot wrote:

And time is a physical process as much as I know. I wonder how you "include time implicitly" mathematically.

time is implicit in B-T because this is a construction.

So you start with one ball

Then you have two

and so on.

 

So there is a point when you have only one ball

Then another when you more, developed from the original.

So the original no longer exists.