The Euclidean model of space and time, and the wave nature of matter
The aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space...
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| Language: | English |
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Frontiers Media S.A.
2025-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2025.1537461/full |
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| author | Radovan Machotka |
| author_facet | Radovan Machotka |
| author_sort | Radovan Machotka |
| collection | DOAJ |
| description | The aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space at the speed of light. Unlike the usual description in three dimensions, where the group and phase velocities of a particle differ, in four-dimensional space the wave and the associated particle can be treated as a single object. The paper deepens understanding of the EMST as a viable alternative to SR. The EMST clarifies the origin of relativistic phenomena and at the same time explains the apparent mysteries associated with the wave nature of matter. From the broader perspective, the EMST has all the prerequisites to become the starting point for the mutual combination of “relativistic” and “quantum” physics into a single physical theory. |
| format | Article |
| id | doaj-art-89560ee827134c4e851ee3b95bffab59 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-89560ee827134c4e851ee3b95bffab592025-02-10T13:07:58ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-02-011310.3389/fphy.2025.15374611537461The Euclidean model of space and time, and the wave nature of matterRadovan MachotkaThe aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space at the speed of light. Unlike the usual description in three dimensions, where the group and phase velocities of a particle differ, in four-dimensional space the wave and the associated particle can be treated as a single object. The paper deepens understanding of the EMST as a viable alternative to SR. The EMST clarifies the origin of relativistic phenomena and at the same time explains the apparent mysteries associated with the wave nature of matter. From the broader perspective, the EMST has all the prerequisites to become the starting point for the mutual combination of “relativistic” and “quantum” physics into a single physical theory.https://www.frontiersin.org/articles/10.3389/fphy.2025.1537461/fullspecial relativityEuclidean relativityEuclidean metricwave-particle dualityde Broglie waves |
| spellingShingle | Radovan Machotka The Euclidean model of space and time, and the wave nature of matter Frontiers in Physics special relativity Euclidean relativity Euclidean metric wave-particle duality de Broglie waves |
| title | The Euclidean model of space and time, and the wave nature of matter |
| title_full | The Euclidean model of space and time, and the wave nature of matter |
| title_fullStr | The Euclidean model of space and time, and the wave nature of matter |
| title_full_unstemmed | The Euclidean model of space and time, and the wave nature of matter |
| title_short | The Euclidean model of space and time, and the wave nature of matter |
| title_sort | euclidean model of space and time and the wave nature of matter |
| topic | special relativity Euclidean relativity Euclidean metric wave-particle duality de Broglie waves |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2025.1537461/full |
| work_keys_str_mv | AT radovanmachotka theeuclideanmodelofspaceandtimeandthewavenatureofmatter AT radovanmachotka euclideanmodelofspaceandtimeandthewavenatureofmatter |