I may have stumbled upon a workaround for the continuous boot problem. It seems that if you turn-off ‘Always allow scanning’ in the advanced Wi-fi settings then the problem will not occur. Your mileage may vary.
Follow these steps:
1. If your Galaxy Note 3 is in a continuous boot cycle or suffers from it then remove the back cover and remove the battery. Leave the back cover off.
2. Remove the SD card.
3. Insert the battery and boot. Wait for the device to fully boot.
4. Go to Menu -> System Settings -> Wi-Fi -> Menu -> Advanced
5. Uncheck ‘Always allow scanning’
6. Use back key until you’re home.
7. Turn off the device.
8. Insert the SD card.
9. Attach the back cover.
10. Turn the device on.
To confirm, I tried booting the device three times with the ‘Always allow scanning’ Wi-Fi setting checked and it ended up in a continuous boot cycle. With the ‘Always allow scanning’ Wi-Fi setting unchecked the device boots fine every time.”
Until Samsung acknowledges the issue and rolls out a software update to fix it, the above solution is going to be your best bet.