AQFT and Self-Constructing Continua


“AQFT as a possible source of self-constructing continua” (pdf)

Abstract: A forcing construction was developed to produce self-constructing continua in the paper of that title; these continua formalized the idea that the totality of real numbers might grow “organically,” but two problems identified there prevented various forcing posets from working when used in the construction. We show here how a forcing poset that avoids both problems can, under a conjecture about von Neumann subfactors, be obtained from certain models of AQFT (algebraic quantum field theory). The simple subfactors originally identified by R. Longo provide our main tool.