I've been looking into viable accelerations for minimally modified humans in an acceleration-gel-type chamber. Minimally modified means no permanent or significant changes to the human body. Examples that might be needed for high accelerations are filling a sinus cavity and eardrums with fluid.
For the purposes of this, the technology of the time has created a breathable, incompressible fluid with a density of X, where X can be any constant density.
Acceleration tolerance is strongly correlated to time at acceleration. For the purpose of this, 10 minutes of acceleration is desired. Bonus points if your answer includes estimates of how G-tolerance would change with time at that acceleration.
With those parameters in mind, I'm curious how fast a ship could linearly accelerate.
Initially, I considered pressure on the human body as the limiting factor, but after some research on divers, it seems like pressure probably won't be a limiting factor. The limiting factor of human divers is gas toxicity at high pressure, which might not exist in a fluid breathing medium.
I am concerned about differences in densities within the human body eventually leading to the failure of something, but I don't even know where to begin looking into that possibility.
There could be another, more obvious fail-point at high accelerations that I missed.
- This question gets quite close, but mice are significantly smaller than humans (duh), and everyone's favorite square-cubed law would be at play here. Also, I can't find the quoted parts of the study mentioned in the first answer.