English

The Expectation Value of the Cosmological Constant

General Relativity and Quantum Cosmology 2017-12-15 v3 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

The possibility of extending the quantum mechanical superposition principle to free parameters such as the cosmological constant appearing in the Lagrangian of physical theories is examined. If the cosmological constant is subject to a quantum mechanical superposition principle, its observed value is a weighted average of its two natural values, one at the Planck scale and the other at zero. As zero and nonzero values of the cosmological constant leads to topologically distinct spacetimes, the amplitude for the cosmological constant to take a Planck scale value is weighted over a topological Euclidean action and the expectation value of the cosmological constant is found to be of the order of its present observed value.

Keywords

Cite

@article{arxiv.1511.08125,
  title  = {The Expectation Value of the Cosmological Constant},
  author = {Josily Cyriac},
  journal= {arXiv preprint arXiv:1511.08125},
  year   = {2017}
}

Comments

Arguments revised. Final results unchanged