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--------------- This can simply be calculated: The speed of movements scales linear with the dimension. A manipulator of 10^-10 meter which can handle 10^6 operations per second corresponds with a manipulator of 1 meter which requires a 100 seconds per operation! This comparison shows that a million operations per second is not an overestimate. --------------- |
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---------- The Earths volume is aproximately 10^21 cubic meters. The Earths mass can then be aproximated by 10^24 kg (when taking 1000kg per cubic meter). Reproduction of a assembler will take 10^10 / 10^6 = 10^4 seconds (3 hours). The mass of an assembler is aproximately 10^10 x * 10^-25 = 10^-15 kg. Time required for growth to a mass equivalent to Earths is about 2 log( 10^24 / 10^-15 ) * 10^4 seconds = 10^6 sec = about 12 days. ( This calculation is only intended to illustrate the logaritmic scales of exponential development. Numbers are therefore rounded to powers of 10. Supply of energy and raw materials are not considered because of simplicity. ) --------- |