This might help; here are the ways I've managed to implement a toroidal world within a physics engine.
1) Modulo (%) is your friend. If your screen goes from 0 to w, in order to find the new, wrapped position of the object, when the object is at p, it's simply p % w (if your screen's left side is a number not 0, it can still be used with simple arithmetic). For example, -1 % 100 = 99; 101 % 100 = 1. This can be set to run every single frame on every object, or only when an object is checked to be outside of your boundaries.
It's like someone invented a hardware-accelerated (?) subroutine for just what you need.
2) When updating the 2d environment hash, use your normal algorithm, but substitute the bounding box points for the %'d points.
World wrap around
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