This thread is for people who believe that time traveller's will eventually 'regain' their memories of 'newer' timelines (for eg. TP Marty would eventually gain the memories of living with a successful family in the LP timeline)
While I believe they will have their memories of both (or more) timelines, I'm at a bit of a loss to explain which set of memories would be dominant, and which 'version' would the time traveller consider himself.
There have been many mechanisms to explain the memory issue-one is that everytime the 'new version' of the time traveller goes back, his memory is replaced by the earliest version to make the trip...so he is essentially (retroactively) the 'new version' all along, albeit with old memories, and eventually, he will gain back his 'real memories', and he would thus essentially consider himself the 'new version'.
However, there is another theory (which is actually closer to what I believe) that when the 'new' version of the time traveller goes back, he is erased from existence...the old one re-appears from the original timeline, and later returns to the 'revised' timeline, gradually gaining the memories of the 'erased' alternate self....in which case, the original memories may well remain dominant.
So I'm curious to see what opinions would be on this issue, and whether we ultimately end up with LP/Eastwood Marty, or TP Marty with LP/Eastwood memories?