Lorentz Invariance, Scattering Amplitudes and the Emergence of Semiclassical Geometry
| Autor: | Vaid, Deepak |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | It has been known for some time now that error correction plays a fundamental role in the determining the emergence of semiclassical geometry in quantum gravity. In this work I connect several different lines of reasoning to argue that this should indeed be the case. The kinematic data which describes the scattering of $ N $ massless particles in flat spacetime can put in one-to-one correspondence with coherent states of quantum geometry. These states are labeled by points in the Grassmannian $ Gr_{2,n} $, which can be viewed as labeling the code-words of a quantum error correcting code. The condition of Lorentz invariance of the background geometry can then be understood as the requirement that co-ordinate transformations should leave the code subspace unchanged. In this essay I show that the language of subsystem (or operator) quantum error correcting codes provides the proper framework for understanding these aspects of particle scattering and quantum geometry. Comment: Essay written for the 2022 Gravity Research Foundation awards. 10 pgs. Comments welcome! |
| Databáze: | arXiv |
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