A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory
In the present paper, we aim to develop a formal quantum logic theory of the interplay between conscious and unconscious processes of the human mind, a goal that has already been envisaged in quantum cognition; in doing so, we will show how the interplay between formal language and metalanguage allo...
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MDPI AG
2022-10-01
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| Online Access: | https://www.mdpi.com/1099-4300/24/10/1419 |
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| author | Giulia Battilotti Miloš Borozan Rosapia Lauro Grotto |
| author_facet | Giulia Battilotti Miloš Borozan Rosapia Lauro Grotto |
| author_sort | Giulia Battilotti |
| collection | DOAJ |
| description | In the present paper, we aim to develop a formal quantum logic theory of the interplay between conscious and unconscious processes of the human mind, a goal that has already been envisaged in quantum cognition; in doing so, we will show how the interplay between formal language and metalanguage allows for characterizing pure quantum states as infinite singletons: in the case of the spin observable, we obtain an equation defining a modality that is then re-interpreted as an abstract projection operator. By including a temporal parameter in the equations and by defining a modal negative operator, we derive an intuitionistic-like negation, for which the non-contradiction law is seen as an equivalent of the quantum uncertainty. Building on the psychoanalytic theory of Bi-Logic by Matte Blanco, we use modalities in interpreting the emergence of conscious representations from an unconscious one, and we demonstrate that this description fits well with Freud’s view of the role of negation in mental processes. Psychoanalysis, where affect plays a prominent role in shaping not only conscious, but also unconscious representations, is therefore seen as a suitable model to expand the domain of quantum cognition to the broader field of <b>affective quantum cognition.</b> |
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| format | Article |
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| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T20:14:21Z |
| publishDate | 2022-10-01 |
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| record_format | Article |
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| spelling | doaj.art-3d2b956afa4f43e0856596d9e40ea5da2023-11-24T00:03:26ZengMDPI AGEntropy1099-43002022-10-012410141910.3390/e24101419A Modal Interpretation of Quantum Spins and Its Application to Freudian TheoryGiulia Battilotti0Miloš Borozan1Rosapia Lauro Grotto2Department of Mathematics, University of Padua, Via Trieste, 63, 35122 Padova, ItalyDepartment of Neurosciences, Imaging and Clinical Sciences, G. d’Annunzio University of Chieti-Pescara, Via dei Vestini, 31, 66100 Chieti, ItalyDepartment of Health Sciences, University of Florence, Via San Salvi, 12, 50135 Firenze, ItalyIn the present paper, we aim to develop a formal quantum logic theory of the interplay between conscious and unconscious processes of the human mind, a goal that has already been envisaged in quantum cognition; in doing so, we will show how the interplay between formal language and metalanguage allows for characterizing pure quantum states as infinite singletons: in the case of the spin observable, we obtain an equation defining a modality that is then re-interpreted as an abstract projection operator. By including a temporal parameter in the equations and by defining a modal negative operator, we derive an intuitionistic-like negation, for which the non-contradiction law is seen as an equivalent of the quantum uncertainty. Building on the psychoanalytic theory of Bi-Logic by Matte Blanco, we use modalities in interpreting the emergence of conscious representations from an unconscious one, and we demonstrate that this description fits well with Freud’s view of the role of negation in mental processes. Psychoanalysis, where affect plays a prominent role in shaping not only conscious, but also unconscious representations, is therefore seen as a suitable model to expand the domain of quantum cognition to the broader field of <b>affective quantum cognition.</b>https://www.mdpi.com/1099-4300/24/10/1419quantum statesuncertaintymetalanguageinfinite singletonsmodalitynegation |
| spellingShingle | Giulia Battilotti Miloš Borozan Rosapia Lauro Grotto A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory Entropy quantum states uncertainty metalanguage infinite singletons modality negation |
| title | A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory |
| title_full | A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory |
| title_fullStr | A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory |
| title_full_unstemmed | A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory |
| title_short | A Modal Interpretation of Quantum Spins and Its Application to Freudian Theory |
| title_sort | modal interpretation of quantum spins and its application to freudian theory |
| topic | quantum states uncertainty metalanguage infinite singletons modality negation |
| url | https://www.mdpi.com/1099-4300/24/10/1419 |
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