The mcc energy is far from being the ultimate energy of the quantum world referring to quantum gravity. Let's say that the rest mass of a particle is only an infinitesimal part of the mass of this same particle considering it as a black hole type particle! but in fact what is hidden behind the rest mass of a subatomic particle like the proton or the neutron?
According to us there are still two new definitions for the rest mass of let's say a subatomic particle.
The question is: How can we calculate the radius of a subatomic particle without adopting quantum gravity?
To adopt this point of view it will be necessary to abandon the idea that in protons and neutrons there are up and down quarks, this is not correct, for us the up and down quarks intervene in the process of creation of matter, like the Higgs boson, but do not appear in the final state of what matter is!! IT IS A BIT LIKE THE ROLE OF THE CATALYST IN A CHEMICAL REACTION, IT INTERVENES IN THE REACTION BUT IT WILL NOT APPEAR IN THE FINAL RESULT OF THE REACTION!!!!
It can be shown that the four quantities, (E, p_x,p_y,p_z), where E is the energy and the other three are the components of the momdntum, transform as components of a 4-vector, under Lorentz transformations. A consequence of this property is that the combination E^2-(p_x^2+p_y^2+p_z^2)c^2 is invariant under Lorentz transformations. This combination, by dimensional analysis, can be expressed as m^2c^4 and provides the definition of the mass of the object. The reason that it makes sense to call m the rest mass is because, if m^2>0, it can be shown that there exists a Lorentz transformation that brings this 4-vector to the form (mc^2,0,0,0).
The future debate would then revolve around the question: what would be the value of the Lorentz factor that could be introduced into quantum calculations. And which could also be used in cosmology.
Since no mass is at rest in the observed accelerated expanding universe, rest mass can be a misleading term, and must be accounted for in this background. Fundamentally, there may only be relativistic mass: https://www.linkedin.com/pulse/what-actual-difference-between-rest-mass-relativistic-warren-frisina-u5aue/?trackingId=7URUqfwsQzKwLzuxfTeXZQ%3D%3D
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