23–27 Jun 2025
Università degli Studi Federico II, Napoli
Europe/Rome timezone

Geometric Event-based relativistic quantum mechanics

25 Jun 2025, 17:45
15m
1st floor, room 2 (University of Naples "Federico II")

1st floor, room 2

University of Naples "Federico II"

Corso Umberto I, 40 - 80138 Napoli (NA)

Speaker

Lorenzo Maccone (Università di Pavia, INFN Sez. Pavia)

Description

We propose a special relativistic framework for quantum mechanics. It is based on introducing a Hilbert space for events. Events are taken as primitive notions (as customary in relativity), whereas quantum systems (e.g. fields and particles) are emergent in the form of joint probability amplitudes for position and time of events. Textbook relativistic quantum mechanics and quantum field theory can be recovered by dividing the event Hilbert spaces into space and time (a foliation) and then conditioning the event states onto the time part. Our theory satisfies the full Poincare' symmetry as a `geometric' unitary transformation, and possesses relativistic observables for space (location of an event) and time (position in time of an event). Based on V. Giovannetti, S. Lloyd, L. Maccone, Geometric Event-Based Quantum Mechanics, New J. Phys. 25, 023027 (2023). doi:10.1088/1367-2630/acb793

Primary author

Lorenzo Maccone (Università di Pavia, INFN Sez. Pavia)

Presentation materials

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