{"title":"AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY","authors":"R. Herrmann","doi":"10.1155/S0161171296000543","DOIUrl":null,"url":null,"abstract":"In this paper, using concepts from the nonstandard physical world, the linear effect \nline element is derived. Previously, this line element was employed to obtain, with the exception \nof radioactive decay, all of the experimentally verified special theory relativistic alterations in \nphysical measures. This line element is now used to derive, by means of separation of variables, \nan expression that predicts the same increase in the decay time for radioactive material as that \npredicted by the Einstein time dilation assumption. This indicates that such an increase in lifetime \ncan be attributed to an interaction of the radioactive material with a nonstandard electromagnetic \nfield rather than to a basic time dilation.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"19 1","pages":"397-402"},"PeriodicalIF":1.0000,"publicationDate":"2003-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171296000543","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/S0161171296000543","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 6
Abstract
In this paper, using concepts from the nonstandard physical world, the linear effect
line element is derived. Previously, this line element was employed to obtain, with the exception
of radioactive decay, all of the experimentally verified special theory relativistic alterations in
physical measures. This line element is now used to derive, by means of separation of variables,
an expression that predicts the same increase in the decay time for radioactive material as that
predicted by the Einstein time dilation assumption. This indicates that such an increase in lifetime
can be attributed to an interaction of the radioactive material with a nonstandard electromagnetic
field rather than to a basic time dilation.
期刊介绍:
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.