Could deformed special relativity naturally arise from the semiclassical limit of quantum gravity - High Energy Physics - TheoryReport as inadecuate




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Abstract: A argument is described for how deformed or doubly special relativity mayarise in the semiclassical limit of a quantum theory of gravity. We consider ageneric quantum theory of gravity coupled to matter, from which we use only theassumption that a Hamiltonian constraint is imposed. We study circumstances inwhich Lambda, G and hbar all may be separately neglected, but there may ariseterms in the ratio of particle energies to the Planck mass which are small butmeasurable. Such cases include probes of an energy dependent speed of lightsuch as are possible in experiments such as MAGIC and GLAST. We show that insuch cases the leading order effect of quantum gravity will, if certain scalingrelations are satisfied, be to deform the metric in the effective Hamiltonianof the matter quantum field theory by terms linear in energies. As theHamiltonian constraint has been imposed there can be no preferred timecoordinate or frame of reference, hence this is a modification rather than abreaking of special relativity.



Author: Lee Smolin

Source: https://arxiv.org/



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