On the Lifetime of a Free Neutron

Abstract: Determination of the lifetime of a free neutron by the beam method and the 'bottled' method give aloud different values [1], [2]. And this difference has not yet been explained by insufficient accuracy methods, no relativistic correction. In the beam method neutrons move at a speed of about 10000 km/sec, and in the 'bottled' method is much slower. On the other hand, we can constructing coordinate transformations inertial frames of reference abandoning the direct comparing moving and stationary objects and from the assumption about the finiteness of the speed of light [3]. These transformations lead to the maximum speed. And with a certain agreement on the choice of bases coincide with the Lorentz transformations (if we take this limiting speed for the speed of light). In this case, the correction for time dilation does not have to coincide with the generally accepted in the special theory of relativity.

1. A. T. Yue, M. S. Dewey, D. M. Gilliam, G. L. Greene, A. B. Laptev, J. S. Nico, W. M. Snow, and F. E. Wietfeldt Improved Determination of the Neutron Lifetime // Phys. Rev. Lett. 2013. V. 111. P. 222501. arXiv:1309.2623v2 [nucl-ex] 27 Nov 2013.

2. Серебров А. П. Разногласие между методом хранения ультрахолодных нейтронов и пучковым методом при измерении времени жизни нейтрона, УФН, т. 189, № 6, с. 635–641.

3. Talyshev A. A. On the Geometric Approach to Transformations of the Coordinates of Inertial Frames of Reference, 'Nonlinear Dynamics, Chaos, and Complexity', Higher Education Press, Springer, 2021, pp. 113–124.

mathematical physicsanalysis of PDEsdynamical systemsexactly solvable and integrable systems

Audience: researchers in the topic

Mathematical models and integration methods