Changes

Note that, for physically tangible, sublight situations, <math>\gamma > 1</math> always. So <i>multiplying</i> something by the Lorentz factor will <i>increase</i> the quantity while <i>dividing</i> by it will <i>decrease</i> the quantity.

Note that, for physically tangible, sublight situations, <math>\gamma > 1</math> always. So <i>multiplying</i> something by the Lorentz factor will <i>increase</i> the quantity while <i>dividing</i> by it will <i>decrease</i> the quantity.

==Faster Than Light==

===Faster Than Light===

Conventionally, faster than light travel is regarded as impossible. The reasoning is the insurmountable barrier that is the speed of light in the Lorentz factor, as detailed above.

Conventionally, faster than light travel is regarded as impossible. The reasoning is the insurmountable barrier that is the speed of light in the Lorentz factor, as detailed above.

so <i>negative</i> time has passed; the tachyon seems to have arrived before it left, and so has moved back in time according to one of the available reference frames. This creates obvious potential for paradox.  

so <i>negative</i> time has passed; the tachyon seems to have arrived before it left, and so has moved back in time according to one of the available reference frames. This creates obvious potential for paradox.  

This possibility of effect precluding cause indicates that, if tachyons truly existed, then there may be no free will, and actions would always be pre-determined. Otherwise, one observer may have an "early warning" of something that will happen in another observer's frame and somehow change it; but then special relativity has it that all reference must agree on whether a spacetime event occurring at all or not: no in-between.  

This possibility of effect precluding cause indicates that, if tachyons truly existed, then there may be no free will, and actions would always be pre-determined. Otherwise, one observer may have an "early warning" of something that will happen in another observer's frame and somehow change it; but then special relativity has it that observers in all reference frames must agree on whether a spacetime event occurring at all or not: no in-between.  

This would create a time travel paradox, so it is thought that one would not be allowed to change the past, regardless of wishes; one's actions would be pre-determined, not freely chosen at will. Dr. Richard Muller vividly illustrates this in his "tachyon murder paradox," commenting that it gives him personal reason to wish faster than light travel impossible.<ref>Dr. Richard Muller "Tachyon Murder Paradox" - https://www.quora.com/Will-humans-ever-develop-faster-than-light-travel</ref>

This would create a time travel paradox, so it is thought that one would not be allowed to change the past, regardless of wishes; one's actions would be pre-determined, not freely chosen at will. Dr. Richard Muller vividly illustrates this in his "tachyon murder paradox," commenting that it gives him personal reason to wish faster than light travel impossible.<ref>Dr. Richard Muller "Tachyon Murder Paradox" - https://www.quora.com/Will-humans-ever-develop-faster-than-light-travel</ref>