>the total cessation of existence

this thread may have set some sort of standard for staying on topic...

First I read straying in place of "staying".

But more seriously: To ask whether time exists is to ask for begging the question, since existence can hardly be considered without implying time (and vice versa).
And time approaches linearity, like all continuously differentiable functions, at the infinitesimally short limit. Where human age is concerned, I favor logarithmic time.