Files and links (1)
SubmittedarXiv.org - Non-exclusive license to distribute, Open
Journal article
Considering a superposition of classical reference frames
JOURNAL OF MATHEMATICAL PHYSICS, v 64(12), 122102
01 Dec 2023
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A ubiquitous feature of quantum mechanical theories is the existence of states of superposition. This is expected to be no different for a quantum gravity theory. Guided by this consideration and others we consider a framework in which classical reference frames may be in superposition relative to one another. Mirroring standard quantum mechanics we introduce a complex-valued wavefunctional, which takes as input the transformations between the coordinates, Psi[x(x ')], with the interpretation that an interaction between the reference frames may select a particular transformation with probability distribution given by the Born rule - P[x(x ')] = probability distribution functional equivalent to |Psi[x(x ')]|(2). The cases of two and three reference frames in superposition are considered explicitly. It is shown that the set of transformations is closed. A rule for transforming wavefunctions from one system to another system in superposition is proposed and consistency with the Schrodinger equation is demonstrated.
Metrics
3 Record Views
Details
- Title
- Considering a superposition of classical reference frames
- Publication Details
- JOURNAL OF MATHEMATICAL PHYSICS, v 64(12), 122102
- Publisher
- AIP Publishing; MELVILLE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:001127429300001
- Scopus ID
- 2-s2.0-85180598285
- Other Identifier
- 991021861293104721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Mathematical