Foundations of Physics 45 (10):1341-1350 (2015)

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
Keywords Reconstruction of quantum theory  Algebraic coding theory  Critical phenomena  Continuity  Tsirelson bound  Bipartite correlations
Categories (categorize this paper)
DOI 10.1007/s10701-015-9937-y
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,355
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Quantum Nonlocality as an Axiom.Sandu Popescu & Daniel Rohrlich - 1994 - Foundations of Physics 24 (3):379-385.

View all 6 references / Add more references

Citations of this work BETA

How Device-Independent Approaches Change the Meaning of Physical Theory.Alexei Grinbaum - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 58:22-30.

Add more citations

Similar books and articles

On Quantum Theories of the Mind.A. C. Scott - 2003 - In Naoyuki Osaka (ed.), Journal of Consciousness Studies. John Benjamins. pp. 5-6.
Quantum Graphic Dynamics.Stanley P. Gudder - 1988 - Foundations of Physics 18 (7):751-776.
Reconstruction of Quantum Theory.Alexei Grinbaum - 2007 - British Journal for the Philosophy of Science 58 (3):387 - 408.
Desiderata for a Modified Quantum Dynamics.Abner Shimony - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:49 - 59.
Magic Without Magic: Meaning of Quantum Brain Dynamics.Marj Jibu & Kunio Yasue - 1997 - Journal of Mind and Behavior 18 (2-3):205-228.


Added to PP index

Total views
32 ( #358,903 of 2,519,632 )

Recent downloads (6 months)
1 ( #406,756 of 2,519,632 )

How can I increase my downloads?


My notes