effect

gravitational decoherence

Gravity suppresses quantum superposition and causes wavefunction collapse.
28 related articles · 3 formulas

Description

Gravitational decoherence is the hypothesis that gravity itself causes quantum superpositions to break down, effectively 'collapsing' the wavefunction for macroscopic objects. This would explain why we never see everyday objects in multiple places at once, even though quantum mechanics allows such superpositions. The idea is that the gravitational field of a massive object in superposition would be ambiguous, and this ambiguity feeds back to destroy the quantum coherence.

History

The idea was notably proposed by Roger Penrose in the 1990s, building on earlier work by Karolyhazy (1966) and Diosi (1987). It remains a speculative but testable hypothesis.

How it works

In standard quantum mechanics, a particle in superposition of two locations has a wavefunction that is a sum of two states. If the particle is massive, its gravitational field would also be in a superposition of two different configurations. According to some models (like Penrose's), the difference in spacetime geometry between these two configurations creates an energy uncertainty. This uncertainty leads to a finite lifetime for the superposition: the more massive the object, the faster the superposition decays into a single definite state. This mechanism is distinct from environmental decoherence, which relies on interactions with surrounding particles.

In practice

It motivates experiments to test quantum superpositions of increasingly massive objects, such as mirrors in LIGO or levitated nanoparticles, to see if gravity imposes a fundamental limit on quantum behavior.

Fun fact

If gravitational decoherence is real, a dust grain of 1 micrometer would lose its quantum superposition in about 10^-5 seconds, while an electron could stay coherent for billions of years.

Concept graph →

Formulas

$$\hat{H} \Psi = 0$$
The Hamiltonian constraint annihilates the wave function of the universe.
What is in the formula
ΨvariableWave function of the universe — wave function
ĤoperatorActs on the wave function to give total energy including gravitational and matter contributions — hamiltonian operator
\hat{h}\psi=0 · 2603.06481
\hat{h}|\psi\rangle=0 · 2605.06093v1
$$M_J \propto \frac{T^{3/2}}{\rho^{1/2}}$$
Minimum mass for gravitational collapse overcoming thermal pressure.
What is in the formula
M_JvariableJeans mass, minimum mass for collapse — mass kilogram
TvariableTemperature of the gas — temperature kelvin
ρvariableMass density of the gas — mass density kilogram per cubic metre
m_j\propto\frac{t^{3/2}}{ρ^{1/2}} · 2607.04942v1
$$\frac{D^2 \xi^\mu}{d\tau^2} = -R^\mu{}_{\nu\rho\sigma} u^\nu u^\rho \xi^\sigma$$
Gravitational waves cause relative acceleration between test masses.
What is in the formula
ξ^μvariabledeviation vector between two nearby geodesics — geodesic deviation vector metre
τvariableproper time along the geodesic — proper time second
u^νvariablefour-velocity of the geodesic — four velocity
u^ρvariablefour-velocity of the geodesic (repeated index) — four velocity
ξ^σvariabledeviation vector (repeated index) — geodesic deviation vector metre
D^2/dτ^2operatorsecond covariant derivative along the geodesic — covariant second derivative
δ\ddot{r}_i=\frac{1}{2}\ddot{h}_{ij}^{tt}r_j · 2607.18390v1

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