Finance

Quantum gravity

Physics

Gravitation

LIGO

Noise (video)

Image (mathematics)

Planck length

Planck mass

Planck

Uncertainty principle

Artificial intelligence

Planck scale

Economics

Gravitational wave

Theoretical physics

Computer science

Quantum mechanics

Momentum (technical analysis)

Classical mechanics

Quantum

Physics Letters B

The generalized uncertainty principle and a minimum measurable length arise in various theories of gravity and predict Planck-scale modifications of the canonical position-momentum commutation relation. Postulating a similar modified commutator between the canonical variables of the electromagnetic field in quantum optics, we compute Planck-scale corrections to the radiation pressure noise and shot noise of Michelson-Morley interferometers, with particular attention to gravity wave detectors such as LIGO. We show that advanced LIGO is potentially sensitive enough to observe Planck-scale effects and thereby indirectly a minimal length. We also propose estimates for the bounds on quantum gravity parameters from current and future advanced LIGO experiments.

Potential tests of the generalized uncertainty principle in the advanced LIGO experiment