- #1
- 10,302
- 1,472
I was reading "Time scales in the context of general relativity" Bernard Guinot, and a few other papers whose names I forget, and was surprised that there was apparently some desire by some physicists to give coordinates units.
It seems that the current recommended practice is that coordinates don't have units (which is the position I take), but I fail to understand why this is not unanimously accepted, nor why one would want to assign units to coordinates, such as the above mentioned "TCB seconds".
A change in the T coordinate depends on which coordinate system you use, and not to anything actually measurable. Not being a physical quantity in and of itself, it seems to me to be wrong and confusing to assign a unit to a change in coordinate.
Any comments?
Clearly, the unit of proper time is concretely the second as defined in the SI.
The metre is also defined as a proper unit : its definition must be applied to a sufficiently small sub-multiple, so that the relativistic effect over the length remains negligible.
Difficulties arise with coordinates whose units are often designated by a special names such as TCB-second, TCG-second.
After long discussions several astronomers recommended to use exclusively the second as sole base unit for all quantities having the dimension of time.
This is in agreement with the metrological rules:
- the unit does not define a quantity,
- the quantity calculus ensures that equations between quantities are valid with their numerical values.
However, it is not yet unanimously accepted.
It seems that the current recommended practice is that coordinates don't have units (which is the position I take), but I fail to understand why this is not unanimously accepted, nor why one would want to assign units to coordinates, such as the above mentioned "TCB seconds".
A change in the T coordinate depends on which coordinate system you use, and not to anything actually measurable. Not being a physical quantity in and of itself, it seems to me to be wrong and confusing to assign a unit to a change in coordinate.
Any comments?