Comment Re:Logical positivism to the rescue... (Score 1) 798
c = 3x10^8 m/s yes but the thing is we have defined both what a meter and a second are. (actually we define c and a second exactly which then sets the length of a meter)
If I decide to measure time in seconds but length in some new unit that just happens to be 3x10^8 meters long then if i measure the speed of light in these units i find it travels exactly 1 unit of length in 1 unit of time. Hence c = 1.
I think where your going wrong is thinking that setting c to 1 means 1m/s which it doesn't. Also in these units you can measure energy and mass in the same units since the conversion factor c^2 becomes 1. This makes a lot of the maths in relativity easier since you don't have lots of factors of c everywhere to keep track of
If I decide to measure time in seconds but length in some new unit that just happens to be 3x10^8 meters long then if i measure the speed of light in these units i find it travels exactly 1 unit of length in 1 unit of time. Hence c = 1.
I think where your going wrong is thinking that setting c to 1 means 1m/s which it doesn't. Also in these units you can measure energy and mass in the same units since the conversion factor c^2 becomes 1. This makes a lot of the maths in relativity easier since you don't have lots of factors of c everywhere to keep track of