Gravitational Zero Point Energy induces Physical Observables

TL;DR

This paper explores how Zero Point Energy influences the cosmological constant and electric/magnetic charges in spherically symmetric backgrounds, highlighting the graviton's fundamental role and extending to $f(R)$ theories.

Contribution

It introduces a method to analyze Zero Point Energy effects on cosmological and electromagnetic properties in various gravitational backgrounds, including $f(R)$ theories.

Findings

Zero Point Energy affects the cosmological constant and charges.

The graviton is the key contributor to Zero Point Energy.

Method applies to spherically symmetric and $f(R)$ backgrounds.

Abstract

We consider the contribution of Zero Point Energy on the induced Cosmological Constant and on the induced Electric/Magnetic charge in absence of matter fields. The method is applicable to every spherically symmetric background. Extensions to a generic $f(R) $ theory are also allowed. Only the graviton appears to be fundamental to the determination of Zero Point Energy.