Godel's Undecidability Theorem & TGD
Abstract
M8 - H duality relates number theoretic and geometric views of physics. Godel's incompleteness theorem relates to number theory. In zero energy ontology, space-time surfaces obey almost exact holography and are analogous to proofs of theorems. Could one consider a geometric and physical interpretation of Godel's incompleteness theorem in the TGD framework based on the idea that the conscious experience accompanying a proof of a theorem corresponds to a localization of a zero energy state in the discretization of the "world of classical worlds" (WCW) to a 4-surface representing the theorem? Could the unprovability of Godel's incompleteness theorem correspond to an impossibility to localize the zero energy state to the corresponding space-time surface? Can one identify the explicit form of Godel sentences involved? These are the questions considered below.