How to figure out that you traveled 570 million years into the future while in space on a small shuttle craft?

I want a character to get sucked into what she thinks is an FTL-wormhole-gate. While it turns out that the gate is indeed a traversable wormhole, it does not allow for FTL travel. The gate transports her at a velocity of ca. 0.9999999999 c over a distance of 570 million lightyears (outside of the Laniakea Supercluster). Due to relativistic time dilation, she only experiences a few seconds of subjective time and believes to have discovered a way to transverse the universe faster than light. (This is completely unrelated to the issue at hand and should not be included in any answers. It is just to give some context.)

How could she realistically figure out how much time has passed during her trip? My idea was that she measures the temperature of the cosmic microwave background, learns that it is colder than it is supposed to be and calculates that she, in fact, has traveled 570 million years in time as well.

Is this a realistic way of figuring out that she has traveled into the future? Are there any easier/more realistic ways? She is driving in a distant systems Kuiper-Belt on a small scouting shuttle with a lot of instruments but almost no delta-vee left.

posted over 4 years ago

TheDyingOfLight‭

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