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Then you would end up as √-ve. And square rooting a -ve number is a massive no-no. Those are two of the most important rules, never divide by zero, and never square root a -ve number!! (unless you want to go into imaginary numbers and 'i', which still wont make you go at 3x108m/s)
The "problem" seems hopeless since any hope of traveling faster than the actual velocity of light depends on moving through the exact velocity of light. That is a point at which all temporal processes as observed by external observers cease entirely and the spaceship and it's occupants move exactly like light. Forget the "mass" becoming infinite... there are "other interpretations"... see Lev B. Okun's papers on the matter (.. such as "Mass versus relativistic and rest masses" - 03 Dec 2008)... just one amongst many papers. Unfortunately how is any object going to accelerate through that "node".... at the speed of light (as reckoned by any external observer) since it requires some temporal acceleration from within that frame... that will not occur? Energy exchange is required for acceleration and that is not about to happen from within that system in which time "appears arrested".So another way must be found... you cannot move "through" the velocity of light but "around it" in some way. The way to do this is to do what Dr. Who does... invent a TARDIS (Time And Relative Dimension In Space)... Accelerate through space and time together maintaining some control over both. You can do this by "first" nulling the mass of the spaceship. This is what is holding the spaceship back and limiting the amount of acceleration (it also provides you with achievable sources of energy to accelerate your spaceship and also solves that difficult problem of "time dilation" which is "pushing" you rapidly into the future). The next thing is to accelerate in a controlled way ... and any force will cause an infinite acceleration on a zero mass but be sure to adjust the passage of time appropriately otherwise you will end up on the wall of the lightcone (as before) and be eternally "stuck" there. You can do this trick using certain quantum techniques which undoes the quantum exchanges occurring due to the natural passage of time.
So how about the quantum eraser experiment and the delayed choice quantum eraser. In where you have a possibility, according to some views, for the photons to 'communicate' pass the time barrier, our arrow of time that is. It seems to me as if you also could see this as some sort of 'ftl' if we by speed mean a measurement of distance in time After all they are not at the same place, are they, ah, inside our 'four dimensional' reality I mean. The real question is if there is any 'information' exchanged of course, but if there are?
But if you set your invariant mass to zero you have to instantly be going at the speed of light.
Although it's probably a moot point unless there's a plausible physical process that lets you set your invariant mass to zero.
Quote from: JPAlthough it's probably a moot point unless there's a plausible physical process that lets you set your invariant mass to zero.Um... I can think of one... of course it relies on what you mean by "physical". If you set a system into a superposition of states and the system wavefunction remains uncollapsed... the property of mass along with all other properties will remain "undefined" until it collapses as a unique classical "measurement". That measurement might be "forced" some distance away from the original systems location prior to being set into that quantum state.
Zero mass is perfectly well defined. And even if it's in a superposition of states, each one evolves according to physical laws as if it's state was well-defined, so you shouldn't have zero mass, no matter what your definition of mass is. This isn't the same as setting the invariant mass to zero so that you can go at the speed of light.