The nature of the final fundamental theory of physics is a topic of speculation and debate among scientists. It's difficult to predict with certainty whether it would be complex and mathematical or embarrassingly simple. However, I can offer some perspectives on this matter.
Historical Precedent: Throughout the history of science, we have observed a trend where our understanding of fundamental phenomena becomes more refined and elegant over time. For example, the laws of classical mechanics formulated by Isaac Newton were relatively simple compared to the mathematical complexities of quantum mechanics and relativity. Simplicity and elegance have often been seen as desirable qualities in scientific theories.
Occam's Razor: Occam's Razor, a principle of parsimony, suggests that when there are multiple explanations for a phenomenon, the simplest one is usually the correct one. Scientists often value theories that provide the most concise and economical explanations for observed phenomena.
Unity and Symmetry: Many physicists have long sought a unified theory that can explain all the fundamental forces of nature within a single framework. The pursuit of unification often leads to elegant and mathematically beautiful theories. The Standard Model of particle physics, for instance, aims to unify electromagnetic, weak nuclear, and strong nuclear forces, although it doesn't incorporate gravity.
Complexity of Nature: On the other hand, the universe is a highly intricate and diverse system. It's possible that the fundamental theory may need to account for a vast range of phenomena and intricacies of nature, resulting in a complex mathematical structure. Some aspects of reality, such as the behavior of quantum systems or the dynamics of black holes, have been described using complex mathematical frameworks.
Ultimately, the nature of the final fundamental theory of physics will depend on the nature of reality itself and the discoveries made by future scientific endeavors. It's important to approach this question with an open mind and embrace whatever form the ultimate theory may take, whether it leans towards complexity or simplicity.