Quantum theory as a critical regime of language dynamics

Abstract

Some mathematical theories in physics justify their explanatory superiority over earlier formalisms by the clarity of their postulates. In particular, axiomatic reconstructions drive home the importance of the composition rule and the continuity assumption as two pillars of quantum theory. Our approach sits on these pillars and combines new mathematics with a testable prediction. If the observer is defined by a limit on string complexity, information dynamics leads to an emergent continuous model in the critical regime. Restricting it to a family of binary codes describing `bipartite systems,' we find strong evidence of an upper bound on bipartite correlations equal to $2.82537$. This is measurably different from the Tsirelson bound. The Hilbert space formalism emerges from this mathematical investigation as an effective description of a fundamental discrete theory in the critical regime.

Discussion and clarifications added in v2

References in corpus (4)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Characterizing quantum theory in terms of information-theoretic constraints
• A derivation of quantum theory from physical requirements
• Quantum Non-Objectivity from Performativity of Quantum Phenomena

Cited by in corpus (4)

• Approaching Tsirelson's bound in a photon pair experiment
• How device-independent approaches change the meaning of physical theory
• Against 'Particle Metaphysics' and 'Collapses' within the Definition of Quantum Entanglement
• Contextuality, Witness of Quantum Weirdness