Godel's incompleteness theorems, as discussed by Stephen Hawking and Freeman Dyson, assert that formulating a definitive Theory of Everything (ToE) is impossible. The discussion highlights the limitations of current theories, including M-theory and string theory, in fully explaining the universe. Participants argue that the application of these theorems extends beyond mathematics into the physical realm, suggesting a fundamental disconnect between theoretical constructs and the realities of the universe. The conversation ultimately concludes that the pursuit of a ToE may be an exercise in futility due to inherent limitations in our understanding.
PREREQUISITESThe discussion is beneficial for theoretical physicists, philosophers of science, and anyone interested in the limitations of current scientific theories in explaining the universe.
greswd said:Both Hawking and Dyson have said that Godel's incompleteness theorems prove that it is impossible for us to formulate an absolutely fundamental Theory of Everything.
Is that true? Do the theorems apply to the physical world as they apply to the realm of mathematics?
DarkoDornel said:M-theory is close, but to many million miles away from the theory. I believe we would be able to know our universe. But others no chance. String theory is other failure for ToE. There is a beautiful equation there, but something does not complete the reality. There is ways to marry GR with Quantum Theory.
DarkoDornel said:Hawking is pulling on strings ( pardon the pun!). There is no theory of everything, it does not fit in too the realities of universe. We think of the theories of today and the past has a house, we dig the foundations, and we layed the floor...and that is it. I do not believe in the big bang at all!