Decoherence and quantum mechanics in a gravitational field

TL;DR

This paper explores the compatibility of quantum interference effects with gravity by proposing a quantum energy-momentum tensor as a source in Einstein's equations, emphasizing the necessity of quantized gravitational waves.

Contribution

It introduces a quantum energy-momentum tensor into Einstein's equations, demonstrating consistency with general relativity when gravitational waves are quantized.

Findings

Quantum interference challenges classical gravity models

Quantum energy-momentum tensor can serve as a source in Einstein's equations

Quantized gravitational waves are essential for consistency

Abstract

Quantum mechanical interference of wave functions leads to some difficulties if a probability density is considered as a source of gravity. We show that an introduction of a quantum energy-momentum tensor as a source term in Einstein equations can be consistent with general relativity if the gravitational waves are quantized.