same screen size different resolutions
1080p plays perfectly on UHD because UHD has exactly double the height and double the width. So if you play 1080p content, you are displaying 1920 horizontal dots from the content on a screen with 3840 pixels. Each dot takes up exactly two pixels, and the same in the vertical direction, so the content can be displayed exactly as it is supposed to.
If you are playing on a 2560x1440 monitor, you are displaying 1920 horizontal dots from the content over 2560 pixels. Each dot from the original content takes up 1 and 1/3 pixels on the screen. Of course you can't have the dot displayed on 1 and 1/3 pixels and have the other 2/3 of the pixel displaying another color, a pixel can only be one color at a time. So the display controller does something called interpolation where the pixels just show the color halfway inbetween (well, the algorithm is more complex than that, but that's the basic idea). For example if a pixel needs to display 1/2 white and 1/2 black because the original content doesn't line up evenly, it would display grey. This leads to fuzziness and blurry text along with everything else, when not using native resolution.

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