AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY
@article{Herrmann1996ANOE, title={AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY}, author={Robert A. Herrmann}, journal={International Journal of Mathematics and Mathematical Sciences}, year={1996}, volume={19}, pages={397-402} }
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…
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References
SHOWING 1-10 OF 12 REFERENCES
Measurements of relativistic time dilatation for positive and negative muons in a circular orbit
- PhysicsNature
- 1977
The lifetimes of both positive and negative relativistic (γ = 29.33) muons have been measured in the CERN Muon Storage Ring with the results τ+ = 64.419 (58) µs, τ− = 64.368 (29) µs The value for…
Operator equations, separation of variables and relativistic alterations
- Mathematics
- 1995
In this paper, a simple and unified method is developed that predicts the relativistic alterations of physical measures when the behavior of a natural system is characterized by means of a specific…
Fractals and ultrasmooth microeffects
- Mathematics
- 1989
In this paper, a portion of the nonstandard methods first introduced by Nottale and Schneider [J. Math. Phys. 25, 1296 (1984)] for the investigation of fractal behavior are replaced by methods…
this restriction is unnecessary. Clearly, if such a constancy is not assumed, then the results would be more difficult to interpret
- this restriction is unnecessary. Clearly, if such a constancy is not assumed, then the results would be more difficult to interpret
AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY
- 1996
Nonstandard Analysis Applied to the Special and General Theories of Relativity -The Theory of Infinitesimal Light-Clocks
- Nonstandard Analysis Applied to the Special and General Theories of Relativity -The Theory of Infinitesimal Light-Clocks
- 1994
Special relativity and a nonstandard substratum
- Speculat. Sci. Technol
- 1994
Constructing Logically Consistent Special and General Theories of Relativity
- Math. Dept., U.S. Naval Academy
- 1993
Supernear functions
- 1985