Quantum equivalence principle without mass superselection
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We do not know exactly how to handle mass in quantum mechanics and how to construct mass superposition states.
“since we do not know exactly how to handle the mass in quantum mechanics and how to construct mass superposition states [7, 17, 18].”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [18]
Section 2 (p. 5) says ordinary nonrelativistic quantum mechanics cannot properly handle superpositions of different masses, but also says a generalized Schrödinger equation capable of describing them can be constructed. Section 3 (p. 6) gives a mass-operator formalism and says it can consistently describe such superpositions. The paper therefore presents a way to handle them, rather than saying we do not know how; it does not address their physical preparation. (LLM, conf=0.85)
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Experimental — accuracy not yet measuredIn nonrelativistic quantum mechanics mass is a kinematical parameter and superposition states of different masses are conceptually unclear.
“in nonrelativistic quantum mechanics mass is a kinematical parameter and superposition states are conceptually unclear states [7,18]”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [18]
Section 2 (p. 5) says that standard nonrelativistic quantum mechanics cannot properly handle superpositions of different masses, supporting the claim that they pose a difficulty. But the paper does not characterize mass as a ‘kinematical parameter’; Section 3 (p. 6) develops an extended framework that can handle those superpositions, so the difficulty needs that qualification. (LLM, conf=0.84)
Experimental — accuracy not yet measuredThe main caveat underlying derivation of Bargmann's superselection rule is that it imposes restrictions on a kinematical level for states that, on the dynamical level, we would not know exactly how to handle.
“The main caveat underling derivation of Bargmann's superselection rule is that it imposes restrictions on a kinematical level for states that, on the dynamical level, we would not know exactly how to handle [7, 18]”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [18]
Ways to overcome Bargmann's superselection rule have been suggested by some authors.
“ways to overcome it have been suggested by some authors [8, 10, 17, 18].”
From Equivalence principle and quantum mechanics: quantum simulation with entangled photons (2018) · cites this paper as [18]
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Cites
Observation of Gravitationally Induced Quantum Interference
Colella, R., Overhauser, A. W., & Werner, S. A. (1975) · Physical Review Letters · doi:10.1103/physrevlett.34.1472 · Cited by 1,058 · see citing works
On Unitary Ray Representations of Continuous Groups
Bargmann, V. (1954) · The Annals of Mathematics · doi:10.2307/1969831 · Cited by 954 · see citing works
Lie Groups, Lie Algebras, Cohomology and some Applications in Physics
de Azcárraga, J. A., & Izquierdo, J. M. (1995) · Cambridge University Press eBooks · doi:10.1017/cbo9780511599897 · Cited by 273 · see citing works
Physics meets philosophy at the Planck scale: Index
Callender, C., & Huggett, N. (2001) · Cambridge University Press eBooks · doi:10.1017/cbo9780511612909 · Cited by 256 · see citing works
Galilei Group and Nonrelativistic Quantum Mechanics
Lévy-Leblond, J. (1963) · Journal of Mathematical Physics · doi:10.1063/1.1724319 · Cited by 211 · see citing works
Coherence effects in neutron diffraction and gravity experiments
Greenberger, D. M., & Overhauser, A. W. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.43 · Cited by 188 · see citing works
Measurement of Neutron Quantum Interference in Noninertial Frames
Bonse, U., & Wroblewski, T. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.1401 · Cited by 162 · see citing works
Testing the equivalence principle through freely falling quantum objects
Viola, L., & Onofrio, R. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.455 · Cited by 128 · see citing works
On the equivalence principle in quantum theory
Lämmerzahl, C. (1996) · CERN Document Server (European Organization for Nuclear Research) · Cited by 91 · see citing works
Quantum aspects of the equivalence principle
Aharonov, Y., & Carmi, G. (1973) · Foundations of Physics · doi:10.1007/bf00709117 · Cited by 78 · see citing works
Generalized Quantum Relativistic Kinematics: a Stability Point of View
Chryssomalakos, C., & Okon, E. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 74 · see citing works
Self-citationThe Galilean covariance of quantum mechanics in the case of external fields
Brown, H. R., & Holland, P. (1999) · American Journal of Physics · doi:10.1119/1.19227 · Cited by 71 · see citing works
GENERALIZED QUANTUM RELATIVISTIC KINEMATICS: A STABILITY POINT OF VIEW
CHRYSSOMALAKOS, C., & OKON, E. (2004) · International Journal of Modern Physics D · doi:10.1142/s0218271804006632 · Cited by 59 · see citing works
Self-citationOn a New Non-Geometric Element in Gravity
Ahluwalia, D. V. (1997) · General Relativity and Gravitation · doi:10.1023/a:1018874111373 · Cited by 54 · see citing works
On the equivalence principle in quantum theory
Lämmerzahl, C. (1996) · General Relativity and Gravitation · doi:10.1007/bf02113157 · Cited by 53 · see citing works
Inadequacy of the Usual Galilean Transformation in Quantum Mechanics
Greenberger, D. M. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.100405 · Cited by 48 · see citing works
Equivalence Principle, Quantum Mechanics, and Atom-Interferometric Tests
Giulini, D. (2012) · Springer eBooks · doi:10.1007/978-3-0348-0043-3_16 · Cited by 45 · see citing works
On Galilei Invariance in Quantum Mechanics and the Bargmann Superselection Rule
Giulini, D. (1996) · Annals of Physics · doi:10.1006/aphy.1996.0069 · Cited by 44 · cited 1× · see citing works
“How could it be that the equivalence principle, a cardinal tenet of modern physics, turns out to depend on a seemingly contingent rule? A rule which can only be considered as approximate since it lacks a relativistic counterpart (see [20])? Moreover, the imposition of the SSR itself is questionable because, as Giulini…”
BackgroundTheory of Particles with Variable Mass. I. Formalism
Greenberger, D. M. (1970) · Journal of Mathematical Physics · doi:10.1063/1.1665400 · Cited by 39 · see citing works
Some useful properties of a theory of variable mass particles
Greenberger, D. M. (1974) · Journal of Mathematical Physics · doi:10.1063/1.1666658 · Cited by 39 · see citing works
Does quantum mechanics clash with the equivalence principle—and does it matter?
Okon, E., & Callender, C. (2010) · European Journal for Philosophy of Science · doi:10.1007/s13194-010-0009-z · Cited by 37 · see citing works
Self-citationFinster, F., Müller, O., Nardmann, M., Tolksdorf, J., & Zeidler, E. (2012) · DIAL (Catholic University of Leuven) · doi:10.1007/978-3-0348-0043-3 · Cited by 33 · see citing works
On the Geometrical Character of Gravitation
Chryssomalakos, C., & Sudarsky, D. (2003) · General Relativity and Gravitation · doi:10.1023/a:1022957916776 · Cited by 32 · see citing works
Theory of Particles with Variable Mass. II. Some Physical Consequences
Greenberger, D. M. (1970) · Journal of Mathematical Physics · doi:10.1063/1.1665401 · Cited by 31 · see citing works
On Galilei invariance in quantum mechanics and the Bargmann superselection rule
Giulini, D. (1995) · CERN Document Server (European Organization for Nuclear Research) · Cited by 29 · see citing works
Is Einstein’s equivalence principle valid for a quantum particle?
Herdegen, A., & Wawrzycki, J. W. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.66.044007 · Cited by 27 · see citing works
On the quantum analogue of Galileo's leaning tower experiment
Ali, M. M., Majumdar, A. S., Home, D., et al. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/22/024 · Cited by 27 · see citing works
Why the Quantum Must Yield to GravityPreprint
Christian, J. (2013) · Cited by 27 · see citing works
Padmanabhan, H., & Padmanabhan, Τ. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.085018 · Cited by 24 · see citing works
Wavepackets for particles of indefinite mass
Greenberger, D. M. (1974) · Journal of Mathematical Physics · doi:10.1063/1.1666659 · Cited by 20 · see citing works
Quantum theory and the equivalence principle
Davies, P. C. W., & Falkowski, P. G. (1982) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1982.0084 · Cited by 16 · see citing works
The equivalence principle and quantum mechanics
ELIEZER, C. J., & Leach, P. G. L. (1977) · American Journal of Physics · doi:10.1119/1.10754 · Cited by 16 · see citing works
THE EQUIVALENCE PRINCIPLE AND QUANTUM MECHANICS: A THEME IN HARMONY
Unnikrishnan, C. S. (2002) · Modern Physics Letters A · doi:10.1142/s0217732302007624 · Cited by 16 · see citing works
Gravity and the Quantum: Are they Reconcilable?
Aldrovandi, R. (2006) · AIP conference proceedings · doi:10.1063/1.2158724 · Cited by 15 · see citing works
Testing the equivalence principle with unstable particles
Bonder, Y., Fischbach, E., Hernández-Coronado, H., Krause, D. E., Rohrbach, Z. J., & Sudarsky, D. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.125021 · Cited by 12 · see citing works
From Bargmann’s Superselection Rule to Quantum Newtonian Spacetime
Hernández-Coronado, H. (2012) · Foundations of Physics · doi:10.1007/s10701-012-9673-5 · Cited by 11 · see citing works
Gravitation at the Mesoscopic Scale
Onofrio, R., & Viola, L. (1997) · Modern Physics Letters A · doi:10.1142/s0217732397001436 · Cited by 10 · see citing works
Gravitation at the mesoscopic scale
ONOFRIO, R., & L., V. (1997) · Padua Research Archive (University of Padova) · Cited by 5 · see citing works
The equivalence principle in classical mechanics and quantum mechanicsPreprint
Mannheim, P. D. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9810087 · Cited by 3 · see citing works
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Galilei covariance and Einstein's equivalence principle in quantum reference frames
Pereira, S. T., & Angelo, R. M. (2015) · Physical Review A · doi:10.1103/physreva.91.022107 · Cited by 31 · see citing works
Equivalence principle and quantum mechanics: quantum simulation with entangled photons
Longhi, S. (2018) · Optics Letters · doi:10.1364/ol.43.000226 · Cited by 5 · see citing works
“n caveat underling derivation of Bargmann‘s superselection rule is that it imposes restrictions on a kinematical level for states that, on the dynamical level, we would not know exactly how to handle [7,18]: if mass enters in the Schr¨odinger equation as a kinematical (rather than dynamical) variable, how can one cons…”
BackgroundInfluential
- Authors
- Hernandez-Coronado, H., & Okon, E.
- Affiliations
- Instituto de Investigaciones Filosóficas (MX)
- ORCID
- Okon, E.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 2013-11
- Volume
- 377
- Issue
- 37
- Pages
- 2293-2297
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2098052380
- Cited by
- 7
- References
- 39
- Citations by year
- 2025: 1 · 2023: 1 · 2019: 1 · 2018: 2 · 2016: 1 · 2015: 1
- FWCI
- 0.36
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- PAPIIT (IA400312)
- CONACyT (103486)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- quantum equivalence principle, Einstein equivalence principle, superposition states
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