You can never absolutely prove that something isn’t random. However:
Galaxy distributions are pink noise, not white noise. Large scale structures are less probable.
The Komolgorov complexity of large structures is lower than random noise, and lower Komolgorov complexity usually indicates some non-random process.
A random process is less likely to produce structure than a non-random process.
You can never absolutely prove that something isn’t random. However:
Galaxy distributions are pink noise, not white noise. Large scale structures are less probable.
The Komolgorov complexity of large structures is lower than random noise, and lower Komolgorov complexity usually indicates some non-random process.
A random process is less likely to produce structure than a non-random process.