About Possibility for Examination of Gravity Theories Using the Precise Measurement of Particle Lifetime

Abstract

An approach for examination of gravitational theories using precision measurements of particle lifetime is proposed. The expressions describing dependence of particle lifetime on gravitational potential in Einstein's and Newton's gravity theories are obtained. In the case of Newton's gravity there is a dependence of the particle velocity direction from the direction of matter location, which creates the gravitational potential. If the external gravitational field is spherical symmetric then there would be no possibility to distinguish these types of gravity. It is found that the deposit of gravitational potential of the Universe (in the case of uniformly distribution of matter in the Universe) in particle lifetime is approximately one percent. On the basis of the available experimental data it is found that deposit of asymmetric gravitational field is $\fracϕ{c^2} \simeq 2 \cdot 10^{-4}$, i.e., if the experimental precision of particle lifetime measurements will be several units of $10^{-4}$, then we could see this effect. In reality, the lifetime of elementary particles can be defined by effective masses of these particles in the external gravitational field. The expressions for effective masses of particles in the external gravitational field for two gravity type theories are obtained. These masses can be used at computation of the decay probability (or lifetime) of particles by standard methods. It is shown that in this case it is also possible to distinguish these two types of gravity theories.