I just submitted a paper for the essay contest held at FQXi. I focused on topics from quantum indeterminism to no theory of everything, to a dynamic Universe with hierarchical underlying laws, all the way to the justification of our pursuance of open science, open society, and open world.
Gödel’s undecidability results (incomplete theorems) demonstrate that no consistent math system is complete, i.e., one can always construct statements that can not be proved or disproved within the same system. Hilbert’s dream of unification of all mathematics may be busted. Similarly, quantum indeterminism indicates that physics and the Universe may be indeterministic, incomplete, and open in nature, and therefore demand no single unification theory of everything. All my recent works on mirror matter theory and supersymmetric mirror models seem to support such an open world ideology.