Why do Things Fall?

Abstract

This is the first of several short notes in which I will describe phenomena that illustrate GR=QM. In it I explain that the gravitational attraction that a black hole exerts on a nearby test object is a consequence of a fundamental law of quantum mechanics---the tendency for complexity to grow. It will also be shown that the Einstein bound on velocities is closely related to the quantum-chaos bound of Maldacena, Shenker, and Stanford.

6 pages, 1 figure

References in corpus (3)

• Switchbacks and the Bridge to Nowhere
• Stringy effects in scrambling
• Dear Qubitzers, GR=QM

Cited by in corpus (27)

• Black holes, complexity and quantum chaos
• Falling Toward Charged Black Holes
• Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Circular Motion of Charged Particles near Charged Black Hole
• Aspects of The First Law of Complexity
• Holographic Order from Modular Chaos
• Quantum-first gravity
• Quantum operator growth bounds for kicked tops and semiclassical spin chains
• When things stop falling, chaos is suppressed
• Non-perturbative dynamics of the operator size distribution in the Sachdev-Ye-Kitaev model
• Proof of a Momentum/Complexity Correspondence
• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Holographic complexity of local quench at finite temperature
• Size of bulk fermions in the SYK model
• Diagnosing collisions in the interior of a wormhole
• Size and momentum of an infalling particle in the black hole interior
• Operator growth bounds in a cartoon matrix model
• Holography Abhors Visible Trapped Surfaces
• Operator Size for Holographic Field Theories
• Quantum circuits with classically simulable operator scrambling
• Particle motion and chaos
• Entanglement and Chaos in De Sitter Holography: An SYK Example
• On the Origins and Relevance of the Equal Transit Time Fallacy to Explain Lift
• Realize Emergent Gravity to Generic Situations
• A note on size-momentum correspondence and chaos
• Electric Forces in the Charged SYK Model