To answer the original question, how one would use Time Binoculars to address the current pandemic, here are two ideas which come to mind:
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We could look 1, 2, 5, 10, 50, and 80 years or so into the future to see if there are any long-term effects of Covid19 beyond what we already know (such as reducing life expectancy, etc). This would help with making cost/benefit analysis of political decisions now.
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We could again look progressively up to 80 years or so into the future to see if there are any long-term effects of the vaccines (since the current solutions involve a new technology which hasn’t been used in vaccinating humans before). This would also help with cost/benefit analysis for vaccine prioritization, fast-tracking approval (or rejection) of vaccine candidates, etc.
These seem reasonable to me, because they are world population-level information, which is not likely to be significantly impacted by a butterfly effect in the timescales involved (any ratios of negative effects for a vaccine at scale, for example, are likely to be similar regardless of the specific individual humans or world political structures that are in place)
Examples of things we probably could not use the Time Binoculars to make decisions on (because of the butterfly effect) might be a particular world leader being taken out by the virus, specific timing of events in the stock market (other than perhaps in the very short term), changes in political structures, etc. The further into the future, the more likely these particular things would unfold differently.
When I use “we” above, I am referring to we as a society. The answers assume that if I were to find myself in possession of Time Binoculars, that anyone could use them, or that they could be used a large number of times (which would make it pretty easy to convince progressively more important individuals in society that they are real and can be used to affect public policy).
There is also an interesting twist to this thought experiment, though – what could I personally, as an unimportant human in the big picture, do to address the pandemic if I alone had these Time Binoculars (maybe only I can use them, say for only a limited number of times and not enough to prove they are real to anyone of importance). In that case, I would need to make myself a significant player.
For example, say I learned something drastic, like 25% of people who took the vaccine developed some form of auto-immune problem later in life. I might be able to use the Time Binoculars to play the stock market in the short term (though I think the butterfly effect would prevent this from being viable for extended periods of time). I would certainly use them to learn as much as I could about the cause of the auto-immune problem, and any solution to it that was found in the future, then devote a much time as necessary to immerse myself into that particular problem, publish as much as I could, to save as may people as possible.