- #1

JohnMS

## Main Question or Discussion Point

Many arxiv papers state that the Planck length

is the smallest measureable length.

On the other hand, the gravitational length

L=2Gm/c^2

associated with every electron or proton

is 19 or 22 orders of magnitude smaller

than the Planck length.

Nobody seems to doubt either

of the two statements.

What is the exact answer to this paradox?

One can imagine at least 3 solutions:

1 - Lengths of objects can be smaller than L_Planck,

but not positions.

2 - Lengths can be smaller than L_Planck if

one makes many measurements and then makes

a statistical average.

3 - There is an uncertainty relation between

length L and position x:

L x > L_Planck^2

There might be other answers. What is the

canonical answer by researchers to this question?

Thanks!

John

is the smallest measureable length.

On the other hand, the gravitational length

L=2Gm/c^2

associated with every electron or proton

is 19 or 22 orders of magnitude smaller

than the Planck length.

Nobody seems to doubt either

of the two statements.

What is the exact answer to this paradox?

One can imagine at least 3 solutions:

1 - Lengths of objects can be smaller than L_Planck,

but not positions.

2 - Lengths can be smaller than L_Planck if

one makes many measurements and then makes

a statistical average.

3 - There is an uncertainty relation between

length L and position x:

L x > L_Planck^2

There might be other answers. What is the

canonical answer by researchers to this question?

Thanks!

John