Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4

GENERALIZED LORENTZ GROUPOF SPACE-TIME TRANSFORMATION

Sayfa
987–1008
DOI
—
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Hence, the core findingherein is that the Minkowskian metric for an empty space-time should, when one is inthe presence of gravity or any other force field, be replaced by general equalitiesinvolving a novel coupling parameter for either attraction or repulsion.

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Amaç & Hipotez:Abstract.We examine how Lorentz Symmetry (LS) breaks down inYarman-Arik-Kholmetskii (YARK) theory of gravitation through an entirely differentmechanism than that under metric theories of gravity.
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Temel Bulgular & Veri:Said mechanism can be right awayextended to all other fields of interaction underYarman’s Approachthat forms the basis of YARK theory.
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Sonuç & Katkı:Hence, the core findingherein is that the Minkowskian metric for an empty space-time should, when one is inthe presence of gravity or any other force field, be replaced by general equalitiesinvolving a novel coupling parameter for either attraction or repulsion.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

Abstract.We examine how Lorentz Symmetry (LS) breaks down inYarman-Arik-Kholmetskii (YARK) theory of gravitation through an entirely differentmechanism than that under metric theories of gravity. Said mechanism can be right awayextended to all other fields of interaction underYarman’s Approachthat forms the basis of YARK theory. The result is the disclosure of a new“Generalized Lorentz Group” of space-time transformations which contains an additionalparameter denoting the interactional energy per unit mass. Hence, the core findingherein is that the Minkowskian metric for an empty space-time should, when one is inthe presence of gravity or any other force field, be replaced by general equalitiesinvolving a novel coupling parameter for either attraction or repulsion.

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Bu Makaleye Atıf Yap

YARMAN, T., ALTINTAŞ, A. A., KHOLMETSKII, A., ARIK, M., MARSHALL, C., YARMAN, O., ÖZAYDIN, F. (2020). GENERALIZED LORENTZ GROUPOF SPACE-TIME TRANSFORMATION. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 4, 987–1008. https://ajindex.com/articles/327403

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Kaynakça (3)

  1. Cosserat, E. and Cosserat, F. (1909), Theory of deformable bodies (Théorie des corps déformables).Transl. D. H. Delphenich
  2. Paris: Hermann.https://www.uni-due.de/~hm0014/Cosserat_files/Cosserat09_eng.pdf [2]Noether, E. (1918), Invariante variationsprobleme. Nachrichten von der Gesellschaft der Wissenschaftenzu Göttingen, Mathematisch-Physikalische Klasse, 235–57.https://gdz.sub.uni-goettingen.de/id/PPN252457811_1918?tify=%7B%22view%22:%22info%22,%22pages%22:%5B241%5D%7D [3]Sato, H. and Tati, T. (1972), Hot universe, cosmic rays of ultrahigh energy and absolute referencesystem. Prog. Theor. Phys. 47(5), 1788–90.https://doi.org/10.1143/PTP.47.1788 [4]Amelino-Camelia, G. et al. (1998), Tests of quantum gravity from observations ofγ-ray bursts. Nature393, 763–5.https://www.nature.com/articles/31647 [5]Stecker, F. W. and Glashow, S. L. (2001), New tests of Lorentz Invariance following from observationsof the highest energy cosmic gamma rays. Astropart. Phys. 16(1), 97–9.https://doi.org/10.1016/S0927-6505(01)00137-2 [6]Poincaré, H. (1905), Sur la dynamique de l’éléctron. Comptes Rendus de l’Academie desSciences 140, 1504–8.https://www.academie-sciences.fr/pdf/dossiers/Poincare/Poincare_pdf/Poincare_CR1905.pdf [7]Michelson A. A. and Morley E. W. (1887), On the relative motion of the Earth and theLuminiferous Ether. Am. J. Sci. 34(203), 333–45.https://history.aip.org/history/exhibits/gap/PDF/michelson.pdf [8]Einstein, A. (1905), On the electrodynamics of moving bodies (Zur Elektrodynamik bewegter Körper).Transl. J. Walker
  3. originally in Ann. Phys. 17, 891–921.http://hermes.ffn.ub.es/luisnavarro/nuevo_maletin/Einstein_1905_relativity.pdfand also cf.https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.19053221004 [9] Einstein, A. (1953), The Meaning of Relativity. Princeton: Princeton University Press. [10]Kostelecký, A. and Samuel, S. (1989), Spontaneous breaking of Lorentz Symmetry in String Theory.Phys Rev. D 39(2), 683–5.https://journals.aps.org/prd/abstract/10.1103/PhysRevD.39.683 11]Greenberg, O. W. (2002), CPT violation implies violation of Lorentz invariance. Phys. Rev. Lett.89(23), 1602–6.https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.89.231602 [12]Particle Data Group — Amsler, C. et al. (2008), Review of particle physics. Phys. Lett. B 667(1-5),1–6.https://doi.org/10.1016/j.physletb.2008.07.018 [13]Tsukerman, I. S. (2010), CPT invariance and neutrino physics. Submitted on 24 Jun 2010 (v1), lastrevised 2 Aug 2010 (this version, v2).https://ar