To my great surprise, apparently there is not a single scientist (physicist or mathematician) who knows an answer to that. Is there perhaps another reason?
As a 73 year old physicist, may I suggest my answer:
If a light ray enters the spacecraft from one side perpendicular to the direction of acceleration, it will be deflected in the opposite direction to the direction of acceleration. This is the same as what a gravitational field does. Since a gravitational field bends space-time, so does an acceleration.
Is my explanation correct?
Answer
Any mass warps space-time. So also a spaceship.
To what extent she does that depends on her mass. Where she does that depends on her place. What that place is depends on her speed, and therefore also on her acceleration. It’s that simple. The extent to which she does it also depends on the speed, because movement is energy, and energy is connected to mass. How it happens is neatly expressed in the equations of general relativity.
Where do you get that no scientist knows the answer to that?
Answered by
prof. Christopher Waelkens
Astronomy
Old Market 13 3000 Leuven
https://www.kuleuven.be/
.