Stability of matter in the accelerating spacetime

In the paper the Planck, Yukawa and Bohr forces were defined and calculated. It was shown that the Planck force mediates the universe acceleration. The Yukawa and Bohr forces describe the gradients of attractive strong and Coulomb forces. It was shown that smallest, of the present day, value of Planck force in comparison to values of the Yukawa and Bohr force guarantees the stability of matter at T (age of universe), 10^17 s. In this paper the new particle with mass m_(Bohr)=3.7 keV/c^2 is postulated. The range of the Coulomb force at the atomic level is described by the formula r_(atomic)=hbar/(m_Bohr)c=0.1nm The relation of the Planck, Yukawa, Bohr to the Schwiger force (for vacuum creation of electron-pozyton pairs)is also outlined.