Unless we get hit by another, smaller rock and yellow stone doesnt erupt in the near future we ll be fine for thousands of years to come.
We will never have time travel in our own "reality" unless reality itself is just a piece of digital coding.
We could maybe develop a way to travel to other universes (parallel universes) but they wont be related to our own i would guess and so it wont technically be time travel but more like a regular travel

There r already ongoing researches on nano bots to assist in fighting cancer and for example depositing "medicine" within the body at the exact locations where it is affected. Kind of like a medicine delivery service which is more efficient than what we have today.
Some humans cant contribute to the moving forward part.
Others r not interested as they dont want to waste their limited time on earth with it.
Third just realise that no matter what they do we r ultimately so far behind in the realisation of what is going on that they r better of not worrying about it and rather enjoy life as we know it.
Fourth r tryhards who spent their entire life focusing on a specific theory which may or may not prove right. Either way humanity would still exist without that contribution or if that specific person didnt discover it, there would have surely been someone else who would have.
At the end of the day we r all unsignificant to the bigger picture based on our short life spam which only helps us enjoy life more as it makes it appear more valuable.