Question

What will happen if one person rotate around a tree with a velocity of light?

Answer 1

Well theoretically speaking,  you can .

what will happen?
• you will run at 99% the speed of light, 

•your clock(biological/mechanical) will run slow(relative to others at rest) by the factor( called Lorentz factor) which is equal to 1/sqrt(1 - v2/c2). Here Lorentz factor ¥ = 7.088 .

•you won't be able to overtake yourself but here comes the main part.
The circumference you are travelling will contract by the same factor of ¥(7.088). Assuming the circumference 5 meters the contracted length will be .705 metes. 
What does it mean, it means that distance between you and you will become .705 meters that is 70.5 cm(approx).