Bibliographic Details
| Title: |
Historical and epistemological perspective of Kaniadakis distribution. |
| Authors: |
Vilela da Silva, Marcelo1 mvilela@coppe.ufrj.br, Camillo Gália, Marcus Vinícius2, Fontes dos Santos, Antônio Carlos3 |
| Source: |
Latin-American Journal of Physics Education. Mar2025, Vol. 19 Issue 1, p1-9. 9p. |
| Subject Terms: |
Particle physics, Statistical models, Scientific community, Physicists, Thermodynamics |
| Abstract (English): |
The Kaniadakis distribution, proposed by the physicist Georgios Kaniadakis, represents an innovative development within statistical physics, emerging as a generalization of the Maxwell-Boltzmann distribution. This paper proposes a brief historical and epistemological trajectory of the Kaniadakis distribution, addressing its theoretical roots, implications, and the scientific context of its emergence. Initially, we investigate the theoretical foundations that led to the formulation of the Kaniadakis distribution, highlighting how challenges and limitations observed in conventional statistical models motivated the search for new approaches. The Kaniadakis distribution, also known as Κ-generalized statistics, emerges as a response to these challenges, introducing a new statistical mechanics consistent with the principles of relativity and thermodynamics. We then explore the impact of this new distribution in various fields, from particle physics to applications in economics, biology, and engineering. We demonstrate how Kaniadakis' approach has provided new perspectives and tools for dealing with systems that exhibit anomalous behaviors, which are not adequately described by traditional statistical theories. Finally, we discuss the epistemological developments of the Kaniadakis distribution within the scientific community. We analyze how its acceptance and integration into different areas of knowledge reflect changes in how scientists understand and model complex phenomena, and the role of theoretical innovation in expanding the boundaries of scientific knowledge. [ABSTRACT FROM AUTHOR] |
| Abstract (Spanish): |
La distribucion de Kaniadakis, propuesta por el fisico Georgios Kaniadakis, representa un desarrollo innovador dentro de la fisica estadistica, surgiendo como una generalizacion de la distribucion de Maxwell-Boltzmann. Este articulo propone una breve trayectoria historica y epistemologica de la distribucion de Kaniadakis, abordando sus raices teoricas, implicaciones y el contexto cientifico de su surgimiento. Inicialmente, investigamos los fundamentos teoricos que llevaron a la formulacion de la distribucion de Kaniadakis, destacando como los desafios y las limitaciones observados en los modelos estadisticos convencionales motivaron la busqueda de nuevos enfoques. La distribucion de Kaniadakis, tambien conocida como estadistica Κ-generalizada, surge como respuesta a estos desafios, introduciendo una nueva mecanica estadistica consistente con los principios de la relatividad y la termodinamica. Posteriormente, exploramos el impacto de esta nueva distribucion en diversos campos, desde la fisica de particulas hasta aplicaciones en economia, biologia e ingenieria. Demostramos como el enfoque de Kaniadakis ha proporcionado nuevas perspectivas y herramientas para abordar sistemas con comportamientos anomalos, que no se describen adecuadamente en las teorias estadisticas tradicionales. Finalmente, analizamos los desarrollos epistemologicos de la distribucion de Kaniadakis dentro de la comunidad cientifica. Analizamos como su aceptacion e integracion en diferentes areas del conocimiento reflejan cambios en la forma en que los cientificos comprenden y modelan fenomenos complejos, y el papel de la innovacion teorica en la expansion de los limites del conocimiento cientifico. [ABSTRACT FROM AUTHOR] |
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| Database: |
Education Research Complete |
