A quaternion is a generalization of a complex number. They are sometimes used to represent rotations in 3D space (e.g. in computer graphics to avoid problems like gimbal lock, caused by representing rotations in axis-angle form). - Warren
Generalization of complex number does not specify geometric interpretation of quaternion. here i will give you the correct answer to my question... Quaternion tutorial
If a clock is capable of measuring a duration of time, then, given any arbitrary datum, they are also capable of assigning a number (coordinate) to all other instants. - Warren
At the first moment in time, there is nothing for the clock to measure. You used the word 'measure' incorrectly.
And, unless you are God, you must be using a clock to declare a moment in time. Who's holding the clock? - Warren
The clock's value can be set to zero at any arbitrary instant in time; afterwards, every other instant in time is assigned a coordinate. - Warren
Finally you are correct. Clocks map numbers onto moments in time, by definition. Great Please Register or Log in to view the hidden image!
No, you aren't. you said this: Let them coincide perfectly, at moment in time Z, and let moment in time Z denote the first moment of time. - Warren
same place I always find him. You clearly aren't interested in seeing how the lorentz transformations lead to a contradiction, so I am not going to bother doing it. I'm sure there's places on the web which have it, you can look at one of those.
As I said, you did not use Z only to denote "the first moment in time," you also used it to denote the instant the bodies coincided. Do you have an actual answer, Oh Great Advanced Intelligence? - Warren
I clearly am, that's why I'm talking to you. I asked you dozens of posts ago to demonstrate the contradiction mathematically, but you haven't. Hell, you can't seem to tell me who's wearing the watch! - Warren
I was beginning the proof, and then you fired 10 minor questions at me, with a purpose that has nothing to do with the Lorentz transformations, whatsoever.