Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12188/31360
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dc.contributor.authorKostadin Trenchevskien_US
dc.date.accessioned2024-09-24T09:14:41Z-
dc.date.available2024-09-24T09:14:41Z-
dc.date.issued2023-
dc.identifier.urihttp://hdl.handle.net/20.500.12188/31360-
dc.description.abstractOur space-time consists of three 3-dimensional spaces: space $S$, space rotations $SR$ and time $T$. First are considered the basic possible 4 cases for exchange among them: 1. $r\rightarrow s$, 2. $s\rightarrow r$, 3. $r\rightarrow t$, and 4. $s\rightarrow t$, where $s\in S$, $r\in SR$, and $t\in T$. Analogous to the affine group of translations and rotations ${\cal A}$, it is considered a space group $G_s$ of $6\times 6$ matrices, which is isomorphic to the group $Spin(4)$. The space metric observed by the particles is found. Further are considered 4 generalized exchanges $1^*$, $2^*$, $3^*$ and $4^*$, induced by the cases 1, 2, 3, and 4. The case $1^*$ leads to the electro-weak interaction, and it is a consequence of non-commutativity between one translation and one rotation in the space group $G_s$. The case $2^*$ leads to the strong interaction, and it is a consequence of non-commutativity between two translations in the space group $G_s$. It leads also to the galactic acceleration which is observed at the periphery of each galaxy, and now we do not need dark matter in order to explain the motion of the distant stars in the galaxies. The case $3^*$ leads to electromagnetic interaction, and it is a consequence of non-commutativity between one translation and one rotation in the affine group ${\cal A}$. The case $4^*$ leads to gravitational interaction and it is a consequence of non-commutativity between one translation and one "radial translation" in the affine group ${\cal A}$. The corresponding accelerations are deduced and for a fixed space positions they are of type ${\bf a}={\rm rot}(\vec{\varphi})$ (gauge invariant), but the quantum and wave effects are neglected. It is also predicted a new gravity-weak interaction, which belongs to the case $2^*$.en_US
dc.language.isoenen_US
dc.publisherFaculty of Natural Sciences and Mathematics, University of Nis, Serbiaen_US
dc.relationCOST project Ca21109, Grant NIP.UKIM.20-21.6en_US
dc.relation.ispartofFilomaten_US
dc.subjectLie groups, Lorentz group, gravitation, electromagnetism, strong interaction, weak interaction, gauge invarianceen_US
dc.titleGlobal Scheme of the basic interactions and their geometrical interpretationsen_US
dc.typeArticleen_US
item.grantfulltextnone-
item.fulltextNo Fulltext-
Appears in Collections:Faculty of Natural Sciences and Mathematics, Institute of Mathematics: Journal Articles
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