Time is also arbitrary; it is a pseudo-dimension, or phase. The fourth dimension is not time.
And, the second is the SI unit for TIME; if you admit the SI unit is arbitrary (which it is,) then every single calculation that draws from this parameter is built on the arbitrary definition of time. In other words, time is arbitrary as the standard unit for time is arbitrary.
Time is the ratio of action and available evergy.
It may be incoherent to you, but it is a matter of fact commentary. Time is arbitrary; it does not need to exist in order for anything to exist. It is arbitrary. Time is used for perspective, but it certainly doesn't justify or vindicate any part of creation. It is not a real dimension. It is not the fourth dimension. It is arbitrary.
The SI unit for time could easily be defined as the interval of Iodine 131 to evolve 30,000 hyperfine transitilns. We would use that "interval" as the standard unit for time. It doesn't matter because time is not a physical dimension. The very fact that it is arbitrary implies that it is NOT necessary for creation. Certainly, it shouldn't be treated as an absolute.