Based on Bhagavad Gita Chapter 08, Text 16
Eternity is a universal longing of all living beings, human and sub-human. This longing can be discerned in all species through the ingenious and indefatigable efforts they make to live for as long as possible. However, because everything material is by its very nature temporary, no species can live forever at the material level.
Does this mean that the longing for eternity is doomed?
No, not at all. We as souls are immortal; we just need to start living at the spiritual level.
The Bhagavad-gita (08.16) indicates that we can attain life eternal if we redirect our love from temporary matter to eternal spirit, specifically the supreme spiritual reality, Krishna.
Gita wisdom explains that this redirection is especially possible in the human form, for it offers us souls the capacity for metaphysical enquiry. By utilizing this capacity, we can recognize the inescapable temporality of the material level and detach ourselves from it. Further, we can recognize the incorruptible eternality of the spiritual level and attach ourselves to it. Thus, we can love the spiritual and thereby achieve the eternal.