What laws of physics would need to be broken in order to travel in space faster?

I have a spaceship which I want to have travel very quickly around a system like our own solar system -- let's say about 10 million miles per minute, which would go from Mars to Earth in ~15 minutes. The spaceship's "warp" drive is able to bend or break the laws of physics to do this, but it's preferable if this is done with the least amount of disruption to the normal, known laws of physics.

What's the least amount of physics that need to be changed in order to allow speedy, practical space travel between planets?

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What laws of physics would need to be broken in order to travel in space faster?

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