This is a hardware issue with some ps4 slims (as people are having this issue with Destiny and, at least, 3-4 other games). So it's not a Bungie/Destiny issue. I would advise to contact your console support.
Hello TheFrozenBoss, Since you already tried reinstalling the game and still have the issue, you should contact PlayStation support. [url=https://www.bungie.net/en/Help/Article/12119]WHO TO CONTACT WHEN ENCOUNTERING HARDWARE ISSUES WITH A SYSTEM OR CONSOLE[/url]