Part 7/9:
This struggle to reconcile gravity with quantum mechanics leads to a broader philosophical reflection: perhaps the quest for a "Theory of Everything" is inherently limited. The work of mathematicians Kurt Godel and Alan Turing in the early 20th century demonstrated that in mathematics there are truths that are undecidable or unprovable within the system—what are known as Godel's Incompleteness Theorems.
Applying this perspective to physics, it suggests there might be fundamental limits to the extent that a single, all-encompassing theory can describe reality. Some physicists now entertain the possibility that a complete unification might be impossible, or at least that our current frameworks may be fundamentally incomplete or incorrect.