Luca MarchettiAll research

Research direction · 03

Relational physics

What becomes of physical description when reference frames are themselves dynamical systems—and quantum systems in quantum gravity?

Overview

General covariance makes the identification of local, gauge-invariant observables in gravity a subtle problem. My work approaches it constructively: physical localization is supplied by dynamical reference systems, and observables describe other fields relative to them.

I am particularly interested in extending this relational viewpoint beyond classical observables to the gravitational path integral, effective actions, and changes of quantum reference frame. The aim is a formulation in which the frame is explicit, physical predictions are gauge invariant, and the relation between different perspectives can be controlled systematically.

Questions

Questions I work on

  1. 01

    How should relational observables be represented in gravitational path integrals?

  2. 02

    When are quantum descriptions associated with different dynamical frames equivalent?

  3. 03

    How does frame dependence appear in effective actions and renormalization-group flows?

Approach

How I approach it

The programme combines relational observables, quantum reference frames, field-space geometry, and covariant path-integral methods. A recurring theme is to distinguish genuine frame dependence from gauge dependence, and to formulate precise covariance identities connecting different relational descriptions.

Selected work

Related publications