Testing ER = EPR with Hydrogen

TL;DR

This paper explores potential observable effects of the ER=EPR conjecture on hydrogen atom properties, proposing that quantum wormholes could alter hyperfine structure and effective charge, with experimental constraints derived from high-precision measurements.

Contribution

It introduces a novel way to test ER=EPR by linking quantum wormholes to measurable atomic properties, providing constraints on the conjecture's effects.

Findings

Quantum wormholes could modify hydrogen's hyperfine structure.

Non-traversable wormholes imply a non-zero total charge for hydrogen.

High-precision measurements constrain the ER=EPR effect amplitude.

Abstract

According to the ER = EPR conjecture, entangled particles are connected by quantum wormholes. Under the assumption that some of the electric field surrounding an entangled charged particle leaks into the wormhole, we show that this effect will modify the hyperfine structure of the hydrogen atom. In addition, if the quantum wormholes are non-traversable, this will also lead to a non-zero total effective charge for the hydrogen atom. These effects provide strong constraints on the amplitude of this potential ER = EPR effect, given high-precision measurements of the hydrogen atom's hyperfine structure and total charge.