Decoherence-induced violations of Einstein equivalence principle

TL;DR

This paper argues that decoherence models and Einstein's equivalence principle are fundamentally incompatible, implying either violations of local position invariance or a breakdown of decoherence in curved spacetime.

Contribution

It demonstrates the conceptual incompatibility between decoherence models and Einstein's equivalence principle at the quantum level.

Findings

Decoherence models may violate local position invariance.

Einstein's equivalence principle may not hold in quantum regimes.

Decoherence could break down in curved spacetimes.

Abstract

In this essay it will be shown that Decoherence Model and Einstein Equivalence Principle are conceptually incompatible. In other words, assuming only the validity of the Weak Equivalence Principle the present work concludes that we face two possibilities: (i) if Decoherence Model provides a correct description of nature at quantum level, then there are systems which violate Local Position Invariance, or, (ii) if all the postulates behind Einstein Equivalence Principle are valid, even on quantum realm, then Decoherence Model breaks down in curved spacetimes. Finally, the present results are confronted against Schiff's conjecture.