In one of my previous articles (https://vixra.org/abs/1701.0042) I already demonstrated the deep relationship of this Riemann function (canonical partition function of the imaginary parts of the non-trivial zeros of the Riemann z function) with gravity and electromagnetism. In this work we recover it to show its deep connection with a new very simple function that uses the imaginary part of the first zero of the Riemann zeta function together with another well-known function of the non-trivial zeros of the zeta function.Its extraordinary simplicity, without random terms appearing, and that in both functions (the canonical partition function of the imaginary parts of the non-trivial zeros of the zeta function and the new one, derived from the imaginary part of the first zero of zeta) are present the Planck mass, Newton's gravitation constant and the elementary electric charge, implies that their coincidence is completely impossible. At the same time, and for some time now, both mathematicians and physicists have been trying to demonstrate the Riemann hypothesis from quantum mechanics, but so far this has not been achieved. Our work works in reverse and demonstrates that the Riemann zeta function for non-trivial zeros plays an essential role in quantum mechanics and in a possible unification theory, as will be observed by the equations that we will show. We even dare to conjecture that the Physical baryon density ( value 2018,0.0224±0.0001 ) parameter is obtained with a function involved in this work (non-trivial zeros of the function z)