Could we have the concept of half-life in subatomic physics because we have a process relative to the atoms and the light of the EM spectrum that form the probability of everyday life?
Within such a process, the atoms are standing waves in time with the spontaneous absorption and emission of light forming the continuum of time.
Light Photon ∆E=hf energy continuously transforming potential energy into the kinetic energy of matter in the form of electrons. Kinetic Eₖ=½mv² energy is the energy of what is actually happening as the future unfolds.
The dynamic geometry of this process forms an uncertain ∆×∆pᵪ≥h/4π probabilistic future continuously unfolding relative to the electron probability cloud of the atoms.
Within this process we cannot measure how long it will take for a radioactive atom to decay, all we have is the probability of a radioactive atom decaying within its half-life.
If we have a group of identical atoms undergoing radioactive decay the half-life is the time required for exactly half of the entities to decay on average. In other words, the probability of a radioactive atom decaying within its half-life is 50%.
The original term, half-life period, dating to Ernest Rutherford's discovery of the principle in 1907.
This is very logical if the atoms of the periodic table form what we measure as a ‘period of time’.
References:
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