https://macresearch.org/macos-big-sur-boot-loop-fix/
Quickie Mac Fixes
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Fix 2: Reset SMC
The System Management Controller (SMC) is responsible for managing many important Mac features and functions (such as power management, battery, charging, etc.) so resetting it is a common way of fixing problems with said features/functions. Since it is possible that the cause for the boot loop originates from such a problem, it might be a good idea to try resetting the SMC. Follow the link provided above and it will lead you to a detailed instructional guide where you will be shown exactly how to reset the SMC.
Fix 3: Reset NVRAM/PRAM
Cluttered NVRAM/PRAM or another problem with the RAM of your Mac may also be the cause for the Big Sur boot loop so if the previously suggested solutions didn’t get the job done, maybe resetting the NVRAM or PRAM of your Mac could be what is required to restore things back to normal. Again, follow the link we have provided to go to a page where you will find detailed steps that will guide you through the resetting process.
Fix 4: Use the Disk Utility in Recovery Mode
The Disk Utility app is used to fix different problems with the Hard Drives of Mac machines and can potentially help in the case of the current problem. If you are experiencing the Big Sur boot loop, however, you won’t be able to access this tool the normal way from within the interface of your OS so you will have to boot into Recovery Mode and use the Disk Utility from there. Click on the link and you will be brought to a page where we explain in detail how you can do that.
Fix 5: Reinstall macOS from Recovery Mode
If none of the aforementioned fixing methods has enabled you to deal with the Big Sur boot loop problem, your only remaining option would be to reinstall the OS of your Mac. You will have to do this from Recovery Mode like in Step 4. To learn more about how to reinstall macOS from Recovery Mode, click on the link that will take you to a guide with detailed instructions.