Physical Limitations of OOPS
OOPS should scale in unbeatable fashion. Limits?
Resets all states; so we may use reversible computing (Bennett, 1982): no fundamental heating problems expected.
Computing power by cost grows 1000-fold per decade (Moore)
Bremermann limit: 1051 operations per second on 1032 bits for Lloyd’s (2000) ultimate laptop (1kg, 1l).
Sun-sized OOPS (1030 kg): given previous solutions, will find solutions to new problems requiring 200 bit programs running for, say, 1020 steps.
300 bits would already be too much: light speed limits acquisition of additional mass through function quadratic in time.
But even modest speedup factor 109 expected until 2030 very promising (e.g., we could quickly solve 20 disk Hanoi without intermediate tasks).
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