Abstract
The concept of entanglement (to entangle: `to wrap' or `twist together', `interweave', `ensnare' -- Merriam-Webster Dictionary and Thesaurus) intuitivily alludes to an involved situation in which individual distinct features are obscured or, with causes and consequences intricately confused. We identify a formal and quantifiable pendant which is related to the formalised quantum concepts of superposition and non-factorisable tensor-products of state vectors.
We develop the concept of formalised entanglement as a clue property in modelling diverse parts of reality and position it in the concept of integrating worldviews [1]. The integrating world view concept has been supported by a layer structure approach according scientific disciplines which are themselves representing structured fields of knowledge related to their respective experimentable ontological grounds.
In this context we have modelled elements of reality using an abstracted quantum formalism SCOP which enables an intrinsic observer effect or `contextuality' incorporating entangled states: amongst others in situations as diverse as communicating water-vessels [2], the opinion poll [3], the Liar Paradox [4], Bell-inequalities in macro-systems [5], the disjunction effect in cognition [6]. Entanglement describes a quality of a composed system containing subsystems which are connected in such a way that you can not `adequately' describe one part of the overall system without changing its complementary parts.
These quantum models with non-Kolmogorovian probability structure point at the irreducible ontological nature of entanglement.
References;
{\bf [1]} , D. Aerts, L. Apostel, B. De Moor, S. Hellemans, E. Maex, H. Van Belle and J. Van der Veken, {\it Worldviews, from Fragmentation towards Integration}. Brussels: VUBPress (1994).\\
{\bf [2]}, An early macroscopic thought experiment breaking Bell-Inequalities, by Diederik Aerts (EPS-conf., Prague)\\
{\bf [3]}, Aerts, D. and Aerts, S. (1994), Applications of quantum statistics in psychological studies of decision processes, {\it Found. Sc.}, {\bf 1}, 85 - 97.
or {\it Topics in the Foundation of Statistics,}, ed. van Fraassen, B., Kluwer Academic, Dordrech, (1997).\\
{\bf [4]}, Aerts, D., Broekaert, J., Smets, S., (2000), A Quantum Structure Description of the Liar-paradox, International Journal of Theoretical Physics, 38, 12, 3231-3239.\\
{\bf [5]}, Aerts, S., Broekaert, J. and Gabora, L. (2000), The violation of Bell inequalities in the macroworld, {\it Found. Phys.}, {\bf 30}, 1387 - 1414, lanl archive ref and link: quant-ph/0007044. \\
{\bf [6]}, Aerts, D., Aerts, S. and Gabora, L. (2009). Experimental evidence for quantum structure in cognition. In QI 2009-Third International Symposium on
Quantum Interaction, Lecture Notes in Computer Science, pp. 59-70. Berlin: Springer.
We develop the concept of formalised entanglement as a clue property in modelling diverse parts of reality and position it in the concept of integrating worldviews [1]. The integrating world view concept has been supported by a layer structure approach according scientific disciplines which are themselves representing structured fields of knowledge related to their respective experimentable ontological grounds.
In this context we have modelled elements of reality using an abstracted quantum formalism SCOP which enables an intrinsic observer effect or `contextuality' incorporating entangled states: amongst others in situations as diverse as communicating water-vessels [2], the opinion poll [3], the Liar Paradox [4], Bell-inequalities in macro-systems [5], the disjunction effect in cognition [6]. Entanglement describes a quality of a composed system containing subsystems which are connected in such a way that you can not `adequately' describe one part of the overall system without changing its complementary parts.
These quantum models with non-Kolmogorovian probability structure point at the irreducible ontological nature of entanglement.
References;
{\bf [1]} , D. Aerts, L. Apostel, B. De Moor, S. Hellemans, E. Maex, H. Van Belle and J. Van der Veken, {\it Worldviews, from Fragmentation towards Integration}. Brussels: VUBPress (1994).\\
{\bf [2]}, An early macroscopic thought experiment breaking Bell-Inequalities, by Diederik Aerts (EPS-conf., Prague)\\
{\bf [3]}, Aerts, D. and Aerts, S. (1994), Applications of quantum statistics in psychological studies of decision processes, {\it Found. Sc.}, {\bf 1}, 85 - 97.
or {\it Topics in the Foundation of Statistics,}, ed. van Fraassen, B., Kluwer Academic, Dordrech, (1997).\\
{\bf [4]}, Aerts, D., Broekaert, J., Smets, S., (2000), A Quantum Structure Description of the Liar-paradox, International Journal of Theoretical Physics, 38, 12, 3231-3239.\\
{\bf [5]}, Aerts, S., Broekaert, J. and Gabora, L. (2000), The violation of Bell inequalities in the macroworld, {\it Found. Phys.}, {\bf 30}, 1387 - 1414, lanl archive ref and link: quant-ph/0007044. \\
{\bf [6]}, Aerts, D., Aerts, S. and Gabora, L. (2009). Experimental evidence for quantum structure in cognition. In QI 2009-Third International Symposium on
Quantum Interaction, Lecture Notes in Computer Science, pp. 59-70. Berlin: Springer.
| Original language | English |
|---|---|
| Title of host publication | International workshop Times of Entanglement, 21-22 September 2010 at the Minsheng Art Museum in Shanghai, People’s Republic of China |
| Publication status | Published - 2010 |
Keywords
- entanglement
- world view
- quantum modelling