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Title: Search for violations of quantum mechanics

Abstract

The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K0-K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 10-21 GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.

Authors:
 [1];  [1];  [2];  [2]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Sponsoring Org.:
USDOE
OSTI Identifier:
1432461
Report Number(s):
SLAC-PUB-3134
Journal ID: ISSN 0550-3213; PII: 0550321384900531
Grant/Contract Number:  
AC03-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 241; Journal Issue: 2; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Search for violations of quantum mechanics. United States: N. p., 1984. Web. doi:10.1016/0550-3213(84)90053-1.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., & Srednicki, M. Search for violations of quantum mechanics. United States. doi:10.1016/0550-3213(84)90053-1.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Sun . "Search for violations of quantum mechanics". United States. doi:10.1016/0550-3213(84)90053-1. https://www.osti.gov/servlets/purl/1432461.
@article{osti_1432461,
title = {Search for violations of quantum mechanics},
author = {Ellis, John and Hagelin, John S. and Nanopoulos, D. V. and Srednicki, M.},
abstractNote = {The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K0-K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 10-21 GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.},
doi = {10.1016/0550-3213(84)90053-1},
journal = {Nuclear Physics. B},
number = 2,
volume = 241,
place = {United States},
year = {1984},
month = {7}
}

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BEYOND THE WEISSKOPF–WIGNER APPROXIMATION IN THE $K^0-\bar K^0$ SYSTEM
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  • DOI: 10.1086/308825

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  • DOI: 10.1007/jhep12(2018)130

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  • Gambini, Rodolfo; Porto, Rafael A.; Pullin, Jorge
  • General Relativity and Gravitation, Vol. 39, Issue 8
  • DOI: 10.1007/s10714-007-0451-1

Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
journal, January 2000

  • Ellis, John; Mavromatos, N. E.; Nanopoulos, D. V.
  • General Relativity and Gravitation, Vol. 32, Issue 1
  • DOI: 10.1023/a:1001852601248

Space-Time Fluctuations Induced by D-Branes and Their Effects on Neutrino Oscillations
journal, September 2002


Tests of quantum gravity from observations of γ-ray bursts
journal, October 1998

  • Amelino-Camelia, G.; Ellis, John; Mavromatos, N. E.
  • Nature, Vol. 395, Issue 6701
  • DOI: 10.1038/26793

Quantum theory's last challenge
journal, December 2000


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Quantum gravity: a progress report
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journal, March 1994


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journal, July 1990


Quantum evolution according to real clocks
journal, May 1999

  • Egusquiza, Iñigo L.; Garay, Luis J.; Raya, José M.
  • Physical Review A, Vol. 59, Issue 5
  • DOI: 10.1103/physreva.59.3236

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journal, September 2019


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journal, April 1995


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Massless neutrino oscillations
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Decoherent neutrino mixing, dark energy, and matter-antimatter asymmetry
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Lorentz and C P T invariance violation in high-energy neutrinos
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Quantum-gravity decoherence effects in neutrino oscillations: Expected constraints from CNGS and J-PARC
journal, March 2008


Quantum dissipation and C P violation in MINOS
journal, March 2014


Experimental bounds on collapse models from gravitational wave detectors
journal, December 2016


Parameter limits for neutrino oscillation with decoherence in KamLAND
journal, June 2017


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journal, July 2012


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journal, February 2014


Theoretically Palatable Flavor Combinations of Astrophysical Neutrinos
journal, October 2015


Probing Possible Decoherence Effects in Atmospheric Neutrino Oscillations
journal, August 2000


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journal, July 1989


Models of wave-function collapse, underlying theories, and experimental tests
journal, April 2013


Solar neutrinos and neutrino physics
journal, April 2016


Physics with the KLOE-2 experiment at the upgraded DAΦNE
journal, June 2010


Dissipative effect in long baseline neutrino experiments
journal, July 2016


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journal, August 2018


Gravity, entanglement and CPT-symmetry violation in particle mixing
journal, November 2019


Relativity in Spacetimes with Short-Distance Structure Governed by an Observer-Independent (Planckian) Length Scale
journal, January 2002


Quantum-Spacetime Phenomenology
journal, June 2013

  • Amelino-Camelia, Giovanni
  • Living Reviews in Relativity, Vol. 16, Issue 1
  • DOI: 10.12942/lrr-2013-5