Re:Time: Yes, it's a dimension, but no, it's not like space
by scotty79 on Monday October 21, 2024 @05:31AM
(#41902254)
It's better to think that our 4 velocity always has a magnitude of 1 and use c only as a scaling factor necessary because our weird choice to use different units for time and space.
Acceleration is a rotation in this weird 3+it dimensions.
I think it better to think about 4 velocity as a unitless quantity. Because our intuitions about units and dimensions are formed by 3 dimensional space where every dimension can be swapped with any other and everything is still the same. 1 meter rotated is still 1 meter. Doesn't become 0.56m/s
Acceleration is a rotation in this weird 3+it dimensions.
I think it better to think about 4 velocity as a unitless quantity. Because our intuitions about units and dimensions are formed by 3 dimensional space where every dimension can be swapped with any other and everything is still the same. 1 meter rotated is still 1 meter. Doesn't become 0.56m/s