{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:47:00Z","timestamp":1776811620300,"version":"3.51.2"},"reference-count":0,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"1-2","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational Methods in Sciences and Engineering"],"published-print":{"date-parts":[[2013,1]]},"abstract":"<jats:p>The Poincar\u00e9 model of the Loba\u010devskii geometry is derived from the Fermat principle. The Loba\u010devskii geometry is interpreted as the Loba\u010devskii-Fok velocity space geometry of moving particles. The relation of this geometry to the decay of the neutral pi-meson is considered. The generalization of the Loba\u010devskii geometry is performed and the new angle of parallelism is derived. The light confined circularly in the optical medium is defined as the optical black hole. The existence of the centrifugal force acting on the photon is discussed.<\/jats:p>","DOI":"10.3233\/jcm-120460","type":"journal-article","created":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T07:13:09Z","timestamp":1556176389000},"page":"177-188","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["From Fermat principle to the Loba\u010devskii-Fok space in particle physics"],"prefix":"10.66113","volume":"13","author":[{"given":"Miroslav","family":"Pardy","sequence":"first","affiliation":[{"name":"Department of Physical Electronics, Masaryk University, Kotl\u00e1\u0159sk\u00e1 2, 611 37 Brno, Czech Republic."}]}],"member":"55691","published-online":{"date-parts":[[2013,1,1]]},"container-title":["Journal of Computational Methods in Sciences and Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JCM-120460","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JCM-120460","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:06:45Z","timestamp":1776809205000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JCM-120460"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2013,1]]}},"alternative-id":["10.3233\/JCM-120460"],"URL":"https:\/\/doi.org\/10.3233\/jcm-120460","relation":{},"ISSN":["1472-7978","1875-8983"],"issn-type":[{"value":"1472-7978","type":"print"},{"value":"1875-8983","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}