- #1
paweld
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Let's consider flat 4D Minkowski spacetime. Is it possible to define (local) coordinate
system for any observer (its natural reference frame) so that these coordinates
posses interpretation of time and spatial position measured by this observer?
It can be done in two dimensional Minkowski spacetime. One coordinate is time
measured by the observer - the length of its world line, the second is the spacetime
distance from the world line measured along the line of constant time (for the comoving
inertial the observer). I proved that there always exist an open set containing
observer world line in which these coordinates have sense. An good example of
such coordinates are Rindler coordinates for uniformly accelerated observer.
I wonder if it's possible to generalize my construction to four dimensional spacetime.
system for any observer (its natural reference frame) so that these coordinates
posses interpretation of time and spatial position measured by this observer?
It can be done in two dimensional Minkowski spacetime. One coordinate is time
measured by the observer - the length of its world line, the second is the spacetime
distance from the world line measured along the line of constant time (for the comoving
inertial the observer). I proved that there always exist an open set containing
observer world line in which these coordinates have sense. An good example of
such coordinates are Rindler coordinates for uniformly accelerated observer.
I wonder if it's possible to generalize my construction to four dimensional spacetime.