Energy and Personality: A Bridge between Physics and Psychology
The objective of this paper is to present a mathematical formalism that states a bridge between physics and psychology, concretely between analytical dynamics and personality theory, in order to open new insights in this theory. In this formalism, energy plays a central role. First, the short-term p...
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| Format: | Article |
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/12/1339 |
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| author | Antonio Caselles Joan C. Micó Salvador Amigó |
| author_facet | Antonio Caselles Joan C. Micó Salvador Amigó |
| author_sort | Antonio Caselles |
| collection | DOAJ |
| description | The objective of this paper is to present a mathematical formalism that states a bridge between physics and psychology, concretely between analytical dynamics and personality theory, in order to open new insights in this theory. In this formalism, energy plays a central role. First, the short-term personality dynamics can be measured by the General Factor of Personality (GFP) response to an arbitrary stimulus. This GFP dynamical response is modeled by a stimulus–response model: an integro-differential equation. The bridge between physics and psychology appears when the stimulus–response model can be formulated as a linear second order differential equation and, subsequently, reformulated as a Newtonian equation. This bridge is strengthened when the Newtonian equation is derived from a minimum action principle, obtaining the current Lagrangian and Hamiltonian functions. However, the Hamiltonian function is non-conserved energy. Then, some changes lead to a conserved Hamiltonian function: Ermakov–Lewis energy. This energy is presented, as well as the GFP dynamical response that can be derived from it. An application case is also presented: an experimental design in which 28 individuals consumed 26.51 g of alcohol. This experiment provides an ordinal scale for the Ermakov–Lewis energy that predicts the effect of a single dose of alcohol. |
| first_indexed | 2024-03-10T10:32:50Z |
| format | Article |
| id | doaj.art-0c8840363ac745b585ee9e29ffd09071 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:32:50Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-0c8840363ac745b585ee9e29ffd090712023-11-21T23:28:21ZengMDPI AGMathematics2227-73902021-06-01912133910.3390/math9121339Energy and Personality: A Bridge between Physics and PsychologyAntonio Caselles0Joan C. Micó1Salvador Amigó2IASCYS Member, Departament de Matemàtica Aplicada, Universitat de València (retired), Dr. Moliner 50, 46100 Burjassot, SpainInstitut Universitari de Matemàtica Multidisciplinar, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, SpainDepartament de Personalitat, Avaluació i Tractaments Psicològics, Universitat de València, Av. Blasco Ibáñez 21, 46010 València, SpainThe objective of this paper is to present a mathematical formalism that states a bridge between physics and psychology, concretely between analytical dynamics and personality theory, in order to open new insights in this theory. In this formalism, energy plays a central role. First, the short-term personality dynamics can be measured by the General Factor of Personality (GFP) response to an arbitrary stimulus. This GFP dynamical response is modeled by a stimulus–response model: an integro-differential equation. The bridge between physics and psychology appears when the stimulus–response model can be formulated as a linear second order differential equation and, subsequently, reformulated as a Newtonian equation. This bridge is strengthened when the Newtonian equation is derived from a minimum action principle, obtaining the current Lagrangian and Hamiltonian functions. However, the Hamiltonian function is non-conserved energy. Then, some changes lead to a conserved Hamiltonian function: Ermakov–Lewis energy. This energy is presented, as well as the GFP dynamical response that can be derived from it. An application case is also presented: an experimental design in which 28 individuals consumed 26.51 g of alcohol. This experiment provides an ordinal scale for the Ermakov–Lewis energy that predicts the effect of a single dose of alcohol.https://www.mdpi.com/2227-7390/9/12/1339personality dynamicsgeneral factor of personalitystimulus–response modelminimum action principleHamiltonianErmakov–Lewis energy |
| spellingShingle | Antonio Caselles Joan C. Micó Salvador Amigó Energy and Personality: A Bridge between Physics and Psychology Mathematics personality dynamics general factor of personality stimulus–response model minimum action principle Hamiltonian Ermakov–Lewis energy |
| title | Energy and Personality: A Bridge between Physics and Psychology |
| title_full | Energy and Personality: A Bridge between Physics and Psychology |
| title_fullStr | Energy and Personality: A Bridge between Physics and Psychology |
| title_full_unstemmed | Energy and Personality: A Bridge between Physics and Psychology |
| title_short | Energy and Personality: A Bridge between Physics and Psychology |
| title_sort | energy and personality a bridge between physics and psychology |
| topic | personality dynamics general factor of personality stimulus–response model minimum action principle Hamiltonian Ermakov–Lewis energy |
| url | https://www.mdpi.com/2227-7390/9/12/1339 |
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