DANGER: Mass-Independent Drive Is Perpetual Motion Machine
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- #1246 Re: DANGER: Mass-Independent Drive... by William Dow Rieder
> ...the way an MT manuver drive works is counterintuitive (ie only volume is > important, not mass). In any drive that depends on mass, this won't work > well... Aiigh. I don't know my Traveller well enough to comment very authoritatively, but if the above statement is true, a Traveller perpetual motion machine (i.e. an infinite energy source) exists. Proof: Take a body with finite volume V and mass m. Let the energy required by the maneuver drive to move the body a distance h against a gravitational field of constant g be E(V,g,h) . For a practical drive, there must exist a V,g,h such that E(V,g,h) is finite. Choose such a triple. Note that the energy gained in moving the body downward from a height h in the field by conventional means (i.e. dropping the body :-) is mgh . Thus, one can construct an engine whose energy consumption per cycle is E(V,g,h) - mgh . A perpetual motion machine can be constructed if there exists an m such that E(V,g,h) - mgh < 0, i.e. m > E(V,g,h)/gh . But for fixed V,g,h the RHS of this inequality is constant, and we can make m arbitrarily large -- Q.E.D. Note that the energy yielded by such a machine increases with increasing m for any given V. Thus, one apparently wants an extremely dense object to act as a piston in this machine... Note also that such a machine could apparently fairly easily realize a Doomsday device for the entire Traveller universe (proof left to the reader), and thus had probably better not exist... Bart Massey ..[email removed] ..[email removed]