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Related Experiment Videos

Very special relativity.

Andrew G Cohen1, Sheldon L Glashow

  • 1Physics Department, Boston University, Massachusetts 02215, USA. cohen@bu.edu

Physical Review Letters
|August 16, 2006
PubMed
Summary
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Very special relativity (VSR) offers a framework that mimics special relativity (SR) while allowing for potential violations of Lorentz invariance. Experiments are proposed to detect these subtle, yet significant, deviations from established physics.

Area of Science:

  • Theoretical Physics
  • Spacetime Symmetries
  • Lorentz Invariance

Background:

  • Special relativity (SR) is founded on the principle of Lorentz invariance.
  • Very special relativity (VSR) explores alternative spacetime symmetries.
  • VSR considers proper subgroups of the Poincaré group, altering standard symmetries.

Purpose of the Study:

  • To define and analyze Very Special Relativity (VSR) as a theoretical framework.
  • To investigate the relationship between VSR and Special Relativity (SR).
  • To identify conditions under which VSR deviates from SR and allows for Lorentz violation.

Main Methods:

  • Defined VSR based on specific subgroups of the Poincaré group.
  • Analyzed VSR within the context of local quantum field theory and conservation laws.

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  • Examined the implications of VSR for the consequences of Lorentz invariance.

    • Main Results:

    • VSR implies SR under the assumptions of local quantum field theory or conservation.
    • In the absence of these assumptions, VSR acts as a simulacrum of SR.
    • Most consequences of Lorentz invariance remain intact in VSR, but some searches for violations may fail.

    Conclusions:

    • VSR provides a theoretical framework that closely resembles SR but allows for potential violations of Lorentz invariance.
    • The study highlights that many sensitive searches for Lorentz violation might be insensitive to VSR effects.
    • Feasible experiments are proposed to detect potential Lorentz-violating effects within the VSR framework.