method

gravitational superposition experiments

Experiments testing gravity's role in quantum superposition and potential repulsive effects.
30 related articles · 2 formulas

Description

Gravitational superposition experiments are proposed tests of whether gravity can induce quantum superposition, potentially leading to repulsive effects. These experiments aim to probe the intersection of quantum mechanics and general relativity, a regime where our understanding is incomplete. By placing macroscopic objects in superposition states and observing their gravitational interactions, physicists hope to determine whether gravity itself obeys quantum rules.

History

The concept gained traction in the 2010s with proposals by Sougato Bose, Anupam Mazumdar, and others, who suggested tabletop experiments to test gravitational entanglement. The idea of repulsive gravity in quantum superposition is more speculative and has been explored theoretically in recent years.

How it works

The idea is to create a superposition of two spatial positions for a massive object, such as a tiny diamond crystal or a cloud of atoms, and then measure the gravitational field it produces. If gravity is quantum, the superposition would lead to entanglement between the two masses, which could be detected. Some proposals also explore the possibility of negative mass or repulsive gravity, which would manifest as a deviation from Newton's law at quantum scales. These experiments require extremely sensitive interferometry and isolation from environmental noise.

In practice

These experiments could provide the first experimental evidence for a quantum theory of gravity, which is essential for unifying physics. They also have implications for quantum technologies, such as quantum sensors and gravimeters.

Fun fact

One proposed experiment involves levitating a tiny diamond with a laser and putting it in a superposition of two locations, then checking if its gravitational pull entangles with another diamond.

Concept graph →

Formulas

$$K = C_{ab} + C_{a'b} + C_{ab'} - C_{a'b'} \leq 2$$
Tests macrorealism against quantum mechanics.
What is in the formula
KvariableLeggett-Garg combination of correlation functions
C_{ab}variableCorrelation function between measurements at times a and b — correlation function
C_{a'b}variableCorrelation function between measurements at times a' and b — correlation function
C_{ab'}variableCorrelation function between measurements at times a and b' — correlation function
C_{a'b'}variableCorrelation function between measurements at times a' and b' — correlation function
b_{\max}=\max\{0,\frac{c_{ab}+c_{a'b}+c_{ab'}-c_{a'b'}-2}{2\sqrt{2}-2}\} · 2505.01379v1
$$\sigma \propto \frac{\hbar G}{c^3}$$
Cross section scales with Planck area in quantum gravity.
What is in the formula
\sigmavariablecross section — cross section metre squared
\hbarconstantreduced Planck constant, fundamental quantum of action — reduced planck constant = 1.054571817e-34 joule second
GconstantNewton's gravitational constant, determines strength of gravity — gravitational constant = 6.67430e-11 metre cubed per kilogram per second squared
cconstantspeed of light in vacuum, fundamental constant of relativity — speed of light = 299792458 metre per second
\proptooperatorproportional to — proportionality
σ\simeq\frac{ħg}{c^3}f_{if} · 2605.14050v1

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