Geometric Event-Based Quantum Mechanics
Name
Giovannetti_2023_New_J._Phys._25_023027.pdf
Size
519.74 KB
Format
Adobe PDF
Checksum (MD5)
1a166f33878bb17b322029a861f54231
Author(s)
Giovannetti, Vittorio
Lloyd, Seth
Maccone, Lorenzo
Date Issued
February 1, 2023
Journal
New Journal of Physics
Publisher
IOP Publishing
Citation
Vittorio Giovannetti et al 2023 New J. Phys. 25 023027.
Version
Final published version
Abstract
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 Lorentz symmetry as a ‘geometric’ unitary transformation, and possesses relativistic observables for space (location of an event) and time (position in time of an event).
Subjects
General Physics and Astronomy
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1088/1367-2630/acb793
