From Quantum Foundations via Natural Language Meaning to a Theory of Everything

In this paper we argue for a paradigmatic shift from ‘reductionism’ to ‘togetherness’. In particular, we show how interaction between systems in quantum theory naturally carries over to modelling how word meanings interact in natural language. Since meaning in natural language, depending on the subject domain, encompasses discussions within any scientific discipline, we obtain a template for theories such as social interaction, animal behaviour, and many others.

[1]  Mehrnoosh Sadrzadeh,et al.  Experimental Support for a Categorical Compositional Distributional Model of Meaning , 2011, EMNLP.

[2]  Stephen Clark,et al.  A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure , 2013, ArXiv.

[3]  B. Coecke,et al.  Categories for the practising physicist , 2009, 0905.3010.

[4]  Bob Coecke,et al.  An alternative Gospel of structure: order, composition, processes , 2013, Quantum Physics and Linguistics.

[5]  Mehrnoosh Sadrzadeh,et al.  Lambek vs. Lambek: Functorial vector space semantics and string diagrams for Lambek calculus , 2013, Ann. Pure Appl. Log..

[6]  Stephen Clark,et al.  The Frobenius anatomy of word meanings I: subject and object relative pronouns , 2013, J. Log. Comput..

[7]  Y. Bar-Hillel A Quasi-Arithmetical Notation for Syntactic Description , 1953 .

[8]  M. Horodecki,et al.  Quantum entanglement , 2007, quant-ph/0702225.

[9]  R. Spekkens,et al.  The resource theory of quantum reference frames: manipulations and monotones , 2007, 0711.0043.

[10]  S. French,et al.  The Structural Foundations of Quantum Gravity , 2006 .

[11]  B. Coecke,et al.  Classical and quantum structuralism , 2009, 0904.1997.

[12]  Bob Coecke,et al.  The logic of quantum mechanics - Take II , 2012, ArXiv.

[13]  Stephen Pulman Compositional distributional semantics with compact closed categories and Frobenius algebras , 2014 .

[14]  Aleks Kissinger,et al.  Picturing Quantum Processes by Bob Coecke , 2017 .

[15]  M. Rédei Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead) , 1996 .

[16]  Matthew D. Lieberman,et al.  Social: Why Our Brains Are Wired to Connect , 2013 .

[17]  B. Coecke Kindergarten Quantum Mechanics: Lecture Notes , 2006 .

[18]  Samson Abramsky,et al.  A categorical semantics of quantum protocols , 2004, Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004..

[19]  J. Baez Quantum Quandaries: a Category-Theoretic Perspective , 2004, quant-ph/0404040.

[20]  Dimitri Kartsaklis,et al.  Prior Disambiguation of Word Tensors for Constructing Sentence Vectors , 2013, EMNLP.

[21]  Gerd Folkers,et al.  On computable numbers , 2016 .

[22]  Hinrich Schütze,et al.  Automatic Word Sense Discrimination , 1998, Comput. Linguistics.

[23]  Stephen Clark,et al.  Mathematical Foundations for a Compositional Distributional Model of Meaning , 2010, ArXiv.

[24]  Robin Piedeleu,et al.  Ambiguity in Categorical Models of Meaning , 2014 .

[25]  Aleks Kissinger,et al.  Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning , 2017 .

[26]  Anne Preller,et al.  Bell States and Negative Sentences in the Distributed Model of Meaning , 2011, Electron. Notes Theor. Comput. Sci..

[27]  Robert W. Spekkens,et al.  A mathematical theory of resources , 2014, Inf. Comput..

[28]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[29]  Joachim Lambek,et al.  Type Grammar Revisited , 1997, LACL.

[30]  F. Brandão,et al.  Resource theory of quantum states out of thermal equilibrium. , 2011, Physical review letters.

[31]  Bob Coecke,et al.  The Logic of Entanglement , 2004, Horizons of the Mind.

[32]  Simon Perdrix,et al.  Environment and Classical Channels in Categorical Quantum Mechanics , 2010, CSL.

[33]  A. Turing On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[34]  B. Coecke Kindergarten Quantum Mechanics , 2005, quant-ph/0510032.

[35]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[36]  J. Lambek The Mathematics of Sentence Structure , 1958 .

[37]  Louis H. Kauffman Teleportation topology , 2005 .

[38]  Stephen Clark,et al.  The Frobenius anatomy of word meanings II: possessive relative pronouns , 2014, J. Log. Comput..

[39]  E. Schrödinger Discussion of Probability Relations between Separated Systems , 1935, Mathematical Proceedings of the Cambridge Philosophical Society.

[40]  J. Neumann Mathematische grundlagen der Quantenmechanik , 1935 .