We already know the laws of thermodynamics to be false though.
ah do we? im sure you can post a link.
Logic is just conclusions from postulates - with the right axioms, you can logically deduce anything.
probably, in theory.
And common sense isn't worth a whole lot.
well i dont know about you but i like to think of myself that i am able to see the interaction of cause and effect. but then, maybe thats the reason why i've not become a billionair already, because my common sense says that i have to work for it - but im sure there is an axiom who tells me that i dont, i'd be happy to share my money with you if you could tell it to me.
sorry, you see my point. science is all about common sense. everything else is mathematical playground.
And it's not a matter of applying energy to something that doesn't exist, it's a matter of something coming into existence with energy.
well that only is the half-truth. to have a particle on a certain velocity, energy must be _applied_ to it in a given direction, so the particle can move in that direction. velocity is not something that stays in place, its the effect we see when a certain amout of energy is applied to something in a certain direction. as with tachyons, its getting even more tricky, for the more energy they get, the "slower" they are (meaning closer to LS). so you need to have a particle that when it comes into existence already had moving energy removed, 'cause otherwise you'd need infinit energy to have it LS. imagine what a nice world we would live in

anyway, i think the triangle example shows what tachyons are. mathematical constructs with _zero_ relevancy for our life. zero. they are only relevant in SRT calculations to show that the theory works both ways.