That's how relativistic math works.
[Math is the verification tool of science, a language with a rigid syntax. The symbols represent physical relations of entities and can be translated into words of the common language. Math can be applied in any field where measurement is required.]
the "time" axis being ct which is actually a distance, not time
[Many don't notice this, which removes 'time' as a mysterious, elusive, whatever that makes things happen. A spacetime graphic is then a historical plot of simultaneous object speed vt, vs light speed ct, or v/c. If v=c, then the slope of the line is 1 or 45 deg.]
The rate of space is the velocity it would take to cross that distance.
[That would be the object velocity, space does not move.]
One is the velocity through space and the other is the velocity through time which reduces to c
[Time is a measure of clock events from your local clock. The light speed profile is 45 deg in the spacetime graphic, but light moves on the horizontal x axis 1 light unit in 1 unit of time. People misinterpret the spacetime graphic as a 2D map, with light moving at 45 deg. This also means the clock and observer are moving in the x dimension, leaving 2 spatial dimensions for motion]
Your current posting is easily extracted from the light clock.
You should be able to post your std with only the necessary numbers and stay under the size limit.