Two points: 1) The "discontinuity" is a red herring. You get one of those every time you fall asleep. 2) It doesn't really make sense to speak of your brain a

Two points: 1) The "discontinuity" is a red herring. You get one of those every time you fall asleep. 2) It doesn't really make sense to speak of your brain as software running on hardware. That's a metaphor informed by the behavior of digital computers, whose state is comparatively easy to approximate due to their binary nature (and yet still very difficult, as anyone knows who's tried writing a 100% compatible emulator for a different computer). But in your brain, the software and the hardware are the same thing. It's just a hyper-complex object that interacts with its environment.There's no guarantee there's any way to abstract that above the molecular level without losing information, and even if you think you have, there's no way to verify that the behavior of a new system will match the behavior of the old system in every case. Take a system you don't normally regard as information-processing, and see if it works the same way. Can we migrate the software process that runs a ball of plasma to compatible hardware? Or a rock?