The Code-Theoretic Axiom The Third Ontology

摘要

A logical physical ontology is code theory, wherein reality is neither deterministic nor random. In light of Conway and Kochen’s free will theorem [The free will theorem, Found. Phys. 36 (10) (2006) 1441–1473] and strong free will theorem [The strong free will theorem, Not. Am. Math. Soc. 56 (2) (2009) 226–232], we discuss the plausibility of a third axiomatic option?— geometric language; the code-theoretic axiom . We suggest that freewill choices at the syntactically-free steps of a geometric language of spacetime form the code-theoretic substrate upon which particle and gravitational physics emerge.