Photoshop possible glitch

Please see the two pictures enclosed.. You'll notice around the enitre perimeter of the box on one you can see the slight pieces of the grid showing.. [IMAGE # 2] This is after ive trimmed and cropped my images. Then you will see it when I zoom in it goes away. [IMAGE # 1] Now I know the one that is clean is the real one and if and when printed it would print as such..I just find it annoying while working on a piece on my laptop and make the image smaller that this pixelation of the grid forms around the edges. Someone told me it has to do with the new Apple screens havig such a high resolution, whereas before when the made them with the lower rez , that this did not happen in photoshop...