International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 397-402

An operator equation and relativistic alterations in the time for radioactive decay

Robert A. Herrmann

Mathematics Department, United States Naval Academy, 572 Holloway Rd., Annapolis 21402-5002, MD, USA

Received 29 September 1994

Copyright © 1996 Robert A. Herrmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.