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A new model of oscillators was suggested, in which an oscillating particle inthe minimum energy state has a nonzero velocity. A system consisting of a pointmaterial particle and a scalar field described by the nonlinear Klein-Gordonequation has been considered. It has been shown that, when taking into accountrelativistic effects, in the case of small rest masses of a particle an energyminimum at zero velocity is impossible for such a particle. It is showed thatthe behavior of a field in such a system is not stationary and is characterizedby the presence of waves emitted and absorbed by the system in the minimumenergy state. The system properties having being analyzed, a concept of thelocal vacuum was suggested; it was showed that the local vacuum hypothesis isuseful in solving the cosmological constant problem.

On a nonlinear model of the localized vacuum hypothesis, for solving the cosmological constant problem