Authors: Espen Gaarder Haug
In this paper we discuss and calculate the mass gap. Based on the mass gap we are redefining what a kilogram may truly represent. This enables us to redefine the Planck constant in what we consider to be more fundamental units. Part of the analysis is based on recent developments in mathematical atomism. Haug [1, 2, 3] has shown that all of Einstein’s special relativity mathematical end results  can be derived from two postulates in atomism. However, atomism gives some additional boundary conditions and removes a series of infinite challenges in physics in a very simple and logical way. While the mass gap in quantum field theory is an unsolved mystery, under atomism we have an easily defined, discrete, and “exact” mass gap. The minimum rest-mass that exists above zero is 1.1734 × 10^(−51) kg, assuming an observational time window of one second. Under our theory it seems meaningless to talk about a mass gap without also talking about the observational time window. The mass gap in one Planck second is the Planck mass. Further, the mass gap of just 1.1734 × 10^(−51) kg has a relativistic mass equal to the Planck mass. The very fundamental particle that makes up all mass and energy has a rest-mass of 1.1734 × 10^(−51) kg. This is also equivalent to a Planck mass that lasts for one Planck second.
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