Is it possible to jump off a roof of a building then land on the same roof?

yes, it's called jump vertically.

yes, it's called jump vertically.

 

No i mean off the edge of the building

Absolutely possible:

I think it's reasonable to ask here what exactly you mean.

If I understand the OP correctly, he's asking whether it would be possible to jump off a building, then fall down in a curved space which ends with you landing on the roof you left. Kind of like a triangle not being 180 degrees in a curved universe.

 

Is that what you mean?

I don't know why this is in quantum theory.

 

You could jump and orbit the earth and land on the same roof, if your jumping ability were up to the task.

If I understand the OP correctly, he's asking whether it would be possible to jump off a building, then fall down in a curved space which ends with you landing on the roof you left. Kind of like a triangle not being 180 degrees in a curved universe.

 

Is that what you mean?

I had the same thought,

I just thought it was funny to say what i did.

You can jump from a roof at height h and fall to a lower height, but to get back up to h you will need to stop falling and gain altitude. This is called climbing-however you do it, and requires an increase of energy against gravity g greater than -g.m

You can hypothetically bend space to accomplish the task mentioned in the first post, orbit the Earth, quantum mechanically you'd have to teleport, which is very improbable and probably won't ever happen.

U could utilize projectile motion equations and find the initial velocity required for you to act like a ballistic missile, travel around the earth and land on the same spot. Equate the range as circumference of the Earth.

In such a case you will be able to land on the same roof, but you wont survive the impact.