So, this is suppose to prove that the universe isn't someone's simulation or creation of space, time and energy for consciousness to interact within.
Even to run a simulation of a galaxy would just be a rough interpolation, given all the unknown data and variables. To construct a simulation of the known universe would be a series of rough approximations, at best. However, running partial or full simulations of the Earth allows for more accuracy and detail of the real world.
Just imagine a supercomputer version of Sim City or Sim Earth and all the patterns of synchronicity that could be detected. Then imagine a quantum computer running various simulations.
A vintage story from 1950 abou a VR & AR playroom that creates a deadly reality. https://en.wikipedia.org/wiki/The_Veldt_(short_story)#Plot
https://en.wikipedia.org/wiki/Simulacron-3#Plot_summary A 1964 story in which some digital characters start to question their reality.
1973 https://en.wikipedia.org/wiki/World_on_a_Wire#Plot
1999 https://en.wikipedia.org/wiki/The_Thirteenth_Floor#Plot The protagonist discovers that after exiting from a 1930s simulation, he is also in a 1990s simulation from the 2020s. The last scene hints that there is another level to an even larger simulation.
Unfortunately, The_Thirteenth_Floor was released a couple of months after The_Matrix in 1999.
https://en.wikipedia.org/wiki/The_Matrix#Plot For some, this is just another Sci-Fi movie about VR.
While exploring synchronicity might not directly prove that this world is part of a simulation or part of a cosmic creation, there are some striking peculiarities.