Nonzero cosmological constant and the many vacua world

TL;DR

This paper explores a quantum cosmological model where the universe exists as a mixture of vacua, leading to a nonzero cosmological constant and implications for dark matter, nonlocality, and gravity.

Contribution

It introduces a framework where the universe's quantum state as a mixture of vacua explains the cosmological constant and dark matter phenomena.

Findings

Nonzero cosmological constant arises from vacuum mixture.

Dark matter may be related to the other vacuum state.

Tachyons could influence nonlocal effects in the universe.

Abstract

The idea of the quantum state of the Universe described by some density matrix, i.e mixture of at least two vacua, the trivial symmetric and the nontrivial one with spontaneously broken symmetry is discussed. Nonzero cosmological constant necessarily arises for such a state and has the observable value if one takes the axion mass for the vacuum expectation value. The Higgs model, Nambu's model and discrete symmetry breaking are considered. Human observers can observe only the world on the nonsymmetric vacuum, the world on the other vacuum is some dark matter. Gravity is due to action of two worlds. Tachyons nonobservable for visible matter can be present in the dark matter, leading to some effects of nonlocality in the space of the Universe.