Answered the question below:
''The phase shift in relative frequencies due to infinitesimal loss in wave energy and corresponding enlargement in the wavelengths of oscillations.''
There are interactions between weak interactions and interactions due to relativistic effects, such as gravitational interactions or speed. Speed ultimately increases gravitational potential energy. When any body moves further away, its speed and kinetic energy decrease thereby increasing its gravitational potential energy.
Nuclear decay is the process by which an unstable atomic nucleus loses energy by radiation through the weak interaction. When an unstable atomic nucleus loses energy by radiation, according to Planck's equation E=hf the loss of energy by radiation causes a phase shift in the relative frequency of the atomic nucleus, correspondingly increasing its wavelength.
However, the wavelength distortion due to the phase shift in relative frequency corresponds exactly to the time distortion; By the relation λ∝T, where λ denotes the wavelength and T denotes the period of oscillation of the wave.
This fact answers the question. 'Why do decaying particles last longer when moving and when stationary?'
Reference: https://doi.org/10.36227/techrxiv.22492066
#lossofenergy #phaseshift #wavelengthdilation #timedistortio
