This is the mass of each of a pair of masses that would have the same gravitation attraction between then as the electrostatic force between an electron and a proton. At any distance. Just plug the constants into the equation that is given. Range cancels.

It is a very small mass but about 10^15 atoms, compared to the force between + and - one elementary charge.

Malcolm White is there any evidence being sought regarding that mass?, I mean, is it a new particle or just a small mass?

What it should happen when one study this mass m_s within the context of the Schrödinger equation for certain levels of energy 'E'. I mean, I have a general solution of the Schrödinger equation of my interest and is influenced under certain potential V(x) (mechanic potential, not electromagnetic one) is possible to use such mass into a model of quantum Hamiltonian under a potential V(X) for 1-D movement?

Thanks in advance. According to that, one of the eigenvalues or levels of the Hamiltonian I have been calculating is extremely low using that mass m_s,

Best regards!

Carlos

It is the mass or energy for a charged particle (E = mc^2) where gravity and electromagnetism should have similar forces. - so maybe quantum effects might show in gravity?