I thought Eschatology was the part of theology concerned with death, judgment, and the final destiny of the soul and of mankind. However, if you say it is the study of the end times then I have no reason to doubt you. I don't know. So I'll just change my question to the end time of what exactly?
Considering that it is written in Genesis , "And God said, This is the token of the covenant which I make between me and you and every living creature that is with you, for perpetual generations: I do set my bow in the cloud, and it shall be for a token of a covenant between me and the earth." (9:12) And the LORD said, "And it shall come to pass, when I bring a cloud over the earth, that the bow shall be seen in the cloud: that the bow shall be in the cloud; and I will look upon it, that I may remember the everlasting covenant between God and every living creature of all flesh that is upon the earth. (9:16) The that pretty much rules out there being an end to life on this planet, or end of life in this universe which only leaves the end times for the living who know they are going to die but they don't know anything neither can they because it is written that the dead know not anything, since death is the permanent cessation of life.
So what do you think was meant by "he that believeth in me, though he were dead, yet shall he live" and "whosoever is alive and believeth in me shall never die." Do yo believe it?