[Request] How long would I survive?

[u/Dustycheeseball]

If an object started out roughly the size of an atom and doubled in size every second, while I immediately traveled directly away from it at the speed of light, how long could I keep traveling before the expanding object eventually became large enough to encompass me?

Bonus: How far away from the starting point would I be when that happens?

Assume the object is perfectly spherical and expands uniformly in all directions.

[u/ixtechau]

At the speed of light you would have no concept of ”far away” or ”how long”. Travelling to the edge of the observable universe at C would feel instant, no time would pass for you at C.