The ultimate fate of Lorentz invariance is therefore an important theoretical question. Other ideas such as emergent gauge bosons, varying moduli, axion-Wess-Zumino models, analogues of emergent gravity in condensed matter, ghost condensate, space-time varying couplings, or varying speed of light cosmologies also incorporate Lorentz violation. Even if broken at high energies, Lorentz symmetry can still be an attractive infrared fixed point, thereby yielding an approximately Lorentz invariant low energy world. High energy Lorentz violation can regularize field theories, another reason it may seem plausible. Other high energy models of spacetime structure, such as non-commutative field theory, do however explicitly contain Lorentz violation. The possibility of four-dimensional Lorentz invariance violation has been investigated in different quantum gravity models (including string theory, warped brane worlds, and loop quantum gravity ), although no quantum gravity model predicts Lorentz violation conclusively.
First, there have been theoretical suggestions that Lorentz invariance may not be an exact symmetry at all energies.
This is largely motivated by two factors. Over the last decade there has been tremendous interest and progress in testing Lorentz invariance. This review focuses on the modern experimental tests of one of the fundamental symmetries of relativity, Lorentz invariance. Relativity has been one of the most successful theories of the last century and is a cornerstone of modern physics.
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