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The Lorentz transformation (as I understand it) pertains only to inertial reference frames moving at constant velocities relative to one another, hence the "special" rather than the "general" theory. However, the player seems to be able to stop, start, or change course at will. Wouldn't those actions cause lots of effects (e.g., gravitational waves, etc.) that are not accurately modeled in this simulation?

The special theory can handle acceleration perfectly well. What it can't handle is gravity.

Therefore the game is fine in so far as it has been presented.

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