Authors: Espen Gaarder Haug
This is a short paper on the maximum possible momentum for subatomic particles, as well as on the relativistic energy-momentum relationship for a Planck mass. This paper builds significantly on the maximum velocity for subatomic particles introduced by [1, 2, 3] and I strongly recommend reading an earlier paper  before reading this paper. It is important that we distinguish between Planck momentum and the momentum of a Planck mass. The Planck momentum can (almost) be reached for any subatomic particles with rest-mass lower than a Planck mass when accelerated to their maximum velocity, given by Haug. Just before the Planck momentum is reached, the mass will turn into a Planck mass. The Planck mass is surprisingly at rest for an instant, and then the mass will then burst into pure energy. This may sound illogical at first, but the Planck mass is the very turning point of the light particle (the indivisible particle) and it is the only mass that is at rest as observed from any reference frame. That the Planck mass is at rest as observed from any reference frame could be as important as understanding that the speed of light is the same in every reference frame. The Planck mass seems to be as unique and special among masses (particles with mass) as the speed of light is among velocities. It is likely one of the big missing pieces towards a unified theory.
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