stever said:
Unfortunately I don't know what a null geodesic of spacetime is. I googled it but it looks like it will take a while to study it.
I find it is made overly complicated for a layman like myself.
Know that c is the fastest speed, anything that travels this fast, i.e. 299,792,458 meters in one second is following a "null" geodesic path.
In the image below the yellow line is a null geodesic path, this is the path a photon would travel since they travel at c.
any coordinate on the graph that is on the right side of the null path is spacelike, timelike is on the left side.
This is a very generalized description, but is enough to give the term a context. I came across the null geodesic term and googled it like you did. It wasn't until I started reading about
intervals that it became clear what a "null geodesic path" is. Said differently reading about (and asking questions here) intervals made clear what the terms spacelike, timelike and null mean in this context.
for a mathless approach check out spacetime diagrams.
c is always the same speed;
So something traveling at 0.5c emits a stream of photons, those photons are traveling at the same speed the always do, they're not "adjusted" in anyway.
When the dude traveling at 0.5c
calculates the speed of those photons it will be the same as everyone elses
calculated value of c.
It is the measurements that are "adjusted".
Specifically time dilation and length contraction "adjust" accordingly so that the calculated value of c is always the same, no matter your relative speed to those photons.
(image below is from wikipedia)