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It's the weak anthropic principle in action, according to a new paper:
www.popularmechanics.com
The Missing Time Travelers of 3025 Could Be a Real Scientific Problem
A new study explains that time travel itself eventually leads to a reality without it.
Ironically, this would be a heck of a campaign frame for TimeWatch: Time travel exists, but is closely guarded, because eventually, it'll screw up the timeline so much that time travelers never get access to it.In a new study, Andrew Jackson—a research associate from the School of Informatics—explores reasons beyond the scientific or technological as to why time travel appears to be impossible (at least, in this reality). Published in the preprint journal arXiv and titled “Where Are All the Tourists From 3025?,” the study posits that maybe time travel itself is a self-suppressing phenomenon.
“I conclude that, assuming my model, time travel is self-suppressing: the timeline is continually rewritten until it inevitably reaches a timeline with no time machines ever being constructed, “ Jackson wrote. “At this point, no further changes to the timeline are possible.”
Jackson illustrates this idea with what’s known as a Markov chain, named after Russian mathematician Andrey Markov, which describes a sequence of possible events wherein the probability of those events depends only on the current state. In the paper, Jackson shows that introducing time travel into any timeline would create dynamic instability that would eventually (at least, statistically) create a timeline where time travel was never invented, which is the most stable state for any timeline. The process of this continuous timeline change would, however, feel instantaneous to non-time travelers such as you and I.