On 09-08-2019 19:09, 'Brent Meeker' via Everything List wrote:
On 8/8/2019 10:33 PM, smitra wrote:
I remember the year 1980, but what I remember is due to brain processes that exist right now. I can only ever probe the present moment, there is no way to prove that 1980 physically exists or existed (whatever the past tense is supposed to mean). So, if 1980 exists (existed) it must be considered to be a parallel world where the people in our memory of that time really exist (existed). The time evolution operator from that time to the present can be expanded in a basis where complete sets of commuting local observables are diagonal. One of the simultaneous eigenstates is the present world we find ourselves in. So, if we assume that 1980 is indeed real and the present world which is one particular component of that same 1980 state written in a different basis, then it's plausible that all the other MWI parallel worlds of 2019 are equally real.

Or to recap.  There's a world which we believe is real because we
remember it  and find consistent evidence of it today.  Therefore we
should believe in the existence of worlds for which we have no
evidence or memories.

We have today's world |now_125463445372> we have good evidence of 1980's existence and we also know that there exist coefficients c_j and states |now_j> such that

|1980> = Exp[i H t/hbar][sum_j of c_j |now_j>]

Saibal

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