December 24, 2018
If the original special relativity states that the relativistic mass (v) of a particle increases and it's relativistic length decreases with a defined factor, hence, the hidden meaning of this original solution is appearance of the relativistic linear mass density. This rearrangement may allow -under defined conditions- an alternative relativistic solution in the form of creation of new particles counting, each with the same original rest mass and the same original rest radius. This study searches in the conditions required for this alternative solution as follow; if we wrote the famous Einstein's equation of the rest mass of a sub-atomic particle (let it, a proton) as then this form describes the particle electromagnetic energy in a rest state, where the proton doesn't feel -from interior- its charge and consequently this equation cannot describe kinetic electric energy. If we do an intuitive operation in the form of multiplication of the left side of this equation by the number one then the result should be the same right side, and the equation still describes the proton in its rest state. Now if we defined a sphere, with a quantity of protons distributed homogeneously (look at section 18) among much more number of neutrons, and if we have a quantity equal the number one as; (Where is the spacing between particles).