Entanglement, holonomic constraints, and the quantization of fundamental interactions

Understand

It is a general belief that all fundamental interactions need to be quantized.

• However, all attempts to develop a quantum theory of gravity presented various problems, leading to a recent active debate about how to probe its quantum nature.
• In the present work we provide a proof for the necessity of quantizing fundamental interactions demonstrating that a quantum version is needed for any non trivial conservative interaction whose strength is a function of the relative distance between two objects.
• Our proof is based on a consistency argument that in the presence of a classical field two interacting objects in a separable state could not develop entanglement.