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Esar comments on PZ Myers on the Infeasibility of Whole Brain Emulation - Less Wrong
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That seems feasible if you knew both the model and the operating system, and had a scan showing very precise relative temperatures. You could then match the state of the simulated phone to a long but finite list of the possible states of the phone given the operating system. But I'm not a doctor.
It's possible to directly read the state of transistors in the phone's memory via scanning capacitance microscopy (http://www.multiprobe.com/technology/technologyassets/S05_1_direct_measurements_of_charge_in_floating_gate.pdf), so you can reconstruct the actual contents of the memory. Probably the greater challenge would be figuring out how to cut the phone into slices without damaging the memory.
Assume there are 20 apps on the phone, and each app can be in 5 states. Then this list is already 5^20 (or about 10^14) entries long. This doesn't include stored memory, as the address book would entail (number of possible names for the first entry of the address book is already something like 26^20 as a conservative estimate).