That depends on whether you think that: a) the past ceases to exist as time passes, or b) the universe is all of the past and all of the future, and we just happen to experience it in a certain chronological order
The past may still be "there," but inaccessible to us. So the answer to this question is probably to dissolve it. In one sense, I won't still love you. In another, my love will always exist and always continue to have an effect on you.
I think the A theory of time is effectively disproved by relativity.
By the way, for those who do not know, these are actually called "the A theory of time" and "the B theory of time"
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