Georgia Code Title 44. Property § 44-6-25

All limitations over after the death of the first taker, upon his “dying without heirs,” “dying without issue,” “dying without leaving heirs or issue,” “on failure of issue,” or other and equivalent terms, shall be construed to mean a failure of heirs or issue at the time of the death of the first taker and shall convey the estate in the manner prescribed in Code Section 44-6-24.