Cymek said:
Could the reason we cannot yet find/define a Grand Unified Theory be the fact our universe is simulated and the simulated physics are not designed to be unified. Or perhaps the human race is sandboxed into a simulated reality within the real universe were a GUT is actually (relatively speaking) easy to find.
The first reason is that neither human being nor computers can handle the mathematics yet. QED mathematics is easy enough (except when you start talking about large molecules or lattices), but even QCD mathematics is beyond what high energy physicists can handle, except for simple examples and to rough approximations. There is as yet no proof even that QCD is not self-contradictory. If it does turn out to be self-contradictory then that would be a very very interesting result.
Beyond QCD is GUT. Most high energy physicists now think that GUT doesn’t exist, because of the failure of the LHC to detect supersymmetry (and other GUT alternatives such as technicolor).
Beyond GUT into TOE and similar the mathematics gets much more difficult again. And again it’s only the simple examples and crude approximations that can be understood. Many physicists are trying to construct a TOE that does not contain a GUT, it can be done but isn’t aesthetically pleasing.
Then even beyond TOE, there are some basic assumptions that may turn out not to be correct. It may turn out that the use of “probability theory” to described the universe is fundamentally flawed because no experimental conditions can ever be exactly duplicated. It’s been speculated umpteen times about what happens if probabilities really drop below zero or if they really add to a number other than one.