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You say it can create an object of a single M3.
I create a second one by replicating the parts.
May take a while but when the second one comes online the third one will be even faster.
I feel the astounding energy needed to create matter would be the reason for the cooldown, so having more than one would make little difference.
It can't be the energy. It has to be a matter rearranger, not something that makes matter from raw energy. Consider a cubic meter of water. It will have a mass of 1000 kg. By E=mc^2, that water has a mass energy of 9e19 Joules. New homes in the US are built with 200 amp panels, delivering power at 120V. The typical new home can draw up to 24,000 Watts from the grid.
At this max output, it would take a house 120 million years to draw enough electricity to create a cubic meter of water from nothing but pure electrical energy.
So this thing must actually work as a matter rearranger. You provide it a supply of pure elements and it synthesizes from there. Or, if it's fancy, it creates elements by rearranging nuclei. But it can't be something that truly creates matter ex nihilo.
My reading of the question implies that the replicator has the cool down. so having a second one will have an independent cool down.
This sounds like owning a 3d printer.
3d printer won't make the electrical box, the steppers etc.
Yes.