Geometric Event-Based Relativistic Quantum Mechanics
- URL: http://arxiv.org/abs/2206.08359v1
- Date: Thu, 16 Jun 2022 17:58:09 GMT
- Title: Geometric Event-Based Relativistic Quantum Mechanics
- Authors: Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone
- Abstract summary: We propose a special relativistic framework for quantum mechanics.
It is based on introducing a Hilbert space for events.
Our theory satisfies the full Poincare' symmetry as a geometric' unitary transformation.
- Score: 8.057006406834466
- License: http://creativecommons.org/licenses/by/4.0/
- 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 Poincare' symmetry as a `geometric'
unitary transformation, and possesses observables for space (location of an
event) and time (position in time of an event).
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