Spacetime Quantum Fluctuations, Minimal Length and Einstein Equations

Abstract

In the process of work it has been found that space-time quantum fluctuations are naturally described in terms of the deformation parameter introduced on going from the well-known quantum mechanics to that at Planck scales and put forward in the previous works of the author. As shown, with the use of quite natural assumptions, these fluctuations must be allowed for in Einstein Equations to lead to the dependence of the latter on the above-mentioned parameter, that is insignificant and may be ignored at low energies but is of particular importance at high energies. Besides, some inferences form the obtained results are maid.