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Hands-on modelling of perceptual switching in coupled rotations of four ordered oppositional pairs: chiral quaternions. Society for Chaos Theory in Psychology.

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Presentation on theme: "Hands-on modelling of perceptual switching in coupled rotations of four ordered oppositional pairs: chiral quaternions. Society for Chaos Theory in Psychology."— Presentation transcript:

1 Hands-on modelling of perceptual switching in coupled rotations of four ordered oppositional pairs: chiral quaternions. Society for Chaos Theory in Psychology & Life Sciences 26th Annual International Conference 29-31 July, 2016 University of Utah, Salt Lake City UT, USA

2 A control system that works on the principle of order, not a balance X

3 Colour Arithmetic Vectors

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5 A turns C into L C turns A into D

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7 Anti-clockwise, not clockwise, OR clockwise, not anti-clockwise

8 Language “I eat bread”, not “bread eat I”.

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11 Coding in four ordered polarities: chiral quaternions Four ordered polarities constitute one unitary chiral quaternion

12 Control system based on ordered quaternion triplet pairs.

13 Chinese Panel

14 Drawing distinctions: Identification of Figures and Constituent Features Order, Duality, Polarity, 3:2,

15 Perceptual Switching Necker Cube

16 Chiral tetrahedrons

17 Drawing a distinction two sides of one coin: one up, one down

18 Pause for a Thought: Nothing is the presence of an absence?

19 Chiral cube

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22 i turns j into +k j turns i into -k

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24 Each corner and face of chiral cube is a unitary quaternion

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26 Each set of four ordered polarities functions as a unitary quaternion: the four ordered polarities all transform as a unity; they behave collectively as of one colour.

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29 Chiral cube to Necker cube

30 Coding in one enantiomer, not the other

31 Cycling through the six quaternions is like going around the “two” sides of a Mobius strip

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33 Coupled switching/exchange interactions coupled flipping of polarities corresponds with rotation about opposed diagonals of a chiral cube

34 Coupling of switching

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38 Shifting the coding across one column flips the chirality - + -

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40 Applications Model for perceptual switching System for processing information about social relationships (me, you, mine, yours) viewed from both sides Game Co-ordination of muscle antagonist pairs potential treatment for stroke Voting/decision making Coupling transfers of goods and services (exchange) Social robot?

41 Game play of two tokens using left and right musculature (or mental imagery of this) co-ordinated with perceptual switching of social relationship states potential application in stroke rehabilitation

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43 Voting/decision making system based on perceptual shifting

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45 Exchange Coupling of transfers of goods and services without using money

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48 Code for experimentation: Vote on choice of sandwiches (switching for and against) http://chiral.campaign.gets.cc/campaign/sandwiches.cshtm Model for exchange of foods (switching ownership) http://chiral.gets.cc/login.aspx?deny=1&strMode=NotSignedIn Login: clienta, clientb, clientc, clientd, cliente or clientf Password: tusq500 www.chiralkine.com

49 Conclusions A model has been derived for a control system based upon the principle of order, not a balance. The building blocks are chiral quaternions manipulated as ordered triplet pairs. The system could be developed for perceptual switching, co- ordination of muscle antagonist pairs and coding both sides in social and economic relationships.

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51 References 1.Terry Marks-Tarlow, Martin A. Hay and Herb Klitzner: “Quaternions, Chirality, Exchange Interactions: A New Tool for Neuroscience?”: Society for Chaos Theory in Psychology & Life Sciences, Vol. 23, No. 1. October, 2015 2.Bernd Schmeikal: “Four Forms Make a Universe”, Adv. Appl. Cliff. Algebras, Vol. 25, No. 1, 1-23, (2015). 3.Joel Isaacson and Louis H. Kauffman, “Recursive Distinctioning” (2016) arXiv:1606.06965 [physics.gen-ph]. 4.S. Capozziello and A. Lattanzi: “Chiral Tetrahedrons as Unitary Quaternions: Molecules and Particles under the Same Standard”: International Journal of Quantum Chemistry, Vol. 104, 885-839 (2005). 5.Francisco M. Fernández: “On the algebraic structure of central molecular chirality”: J. Math Chem (2016) 54: 552-558. 6.Herb Klitzner: “Quaternion Connections to Social Robotics, Compassion and Aesthetics”, Presentation to the New York Academy of Sciences, June 2016 7.D. Ellerman: The Mathematics of Double Entry Bookkeeping: Math. Mag. (1985), 58(4), 226-233 8. Spencer-Brown, G. (1969). Laws of Form. London: George Allen and Unwin Ltd. 9. Oded Maimon and Moshe Klein in collaboration with Yale Landsberg: “Consciousness - The Fifth Dimension - Unity of Mathematics”: Poster presented at the meeting of The Science of Consciousness 2016 in Tucson, Arizona, April 25-30, 2016. 10.Moshe Klein and Oded Maimon in collaboration with Yale Landsberg: “The Mathematics of Soft Logic”: paper presented at the 2016 International Conference on Artificial Intelligence and Robotics ( ICAIR 2016), July 13-15, Kitakyushu, Japan (mosheklein@mail.tau.ac.il)mosheklein@mail.tau.ac.il 11.Martin A. Hay: “Chiralkine”, United States patent applications, publications nos. 2013/0221616 (2013), 2016//0199725 (2016) 12.Saposnik et al., “Safety and Efficacy of non-immersive virtual reality exercising in stroke rehabilitation”, The Lancet Neurology, June, 2016

52 Algorithm and computer code development: Initial exploratory work: Michael Linton, Bruno Vernier (Seedstock Community Currency, Vancouver BC, Canada), Frances and Martin Hay (UK) Code created by: Indrajeet Singh and Himanshu Shukla (Sanskriti IT Solutions, India) in association with Richard Logie (GETS, Scotland), Frances and Martin Hay (UK)


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