The Classical-Quantum Duality of Nature. New Variables for Quantum Gravity

Understand

The classical-quantum duality at the basis of quantum theory is here extended to the Planck scale domain.

• The classical/semiclassical gravity (G) domain is dual (in the precise sense of the classical-quantum duality) to the quantum (Q) elementary particle domain through the Planck scale.
• This duality is universal.
• From the gravity and quantum variables (G, Q), we define new (QG) quantum gravity variables QG = (1/2) (G + Q) which include all (classical, semiclassical and quantum gravity) domains and the elementary particle domain passing by the Planck scale.