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Title

Particle-physics constraints on multifractal spacetimes

AuthorsCalcagni, Gianluca ; Nardelli, Giuseppe; Rodriguez-Fernandez, D.
Issue Date8-Jan-2016
PublisherAmerican Physical Society
CitationPhysical Review D - Particles, Fields, Gravitation and Cosmology 93: 025005 (2016)
AbstractWe study electroweak interactions in the multiscale theory with q-derivatives, a framework where spacetime has the typical features of a multifractal. In the simplest case with only one characteristic time, length, and energy scale t∗, ∗, and E∗, we consider (i) the muon decay rate and (ii) the Lamb shift in the hydrogen atom, and constrain the corrections to the ordinary results. We obtain the independent absolute upper bounds (i) t∗<10-13 s and (ii) E∗>35 MeV. Under some mild theoretical assumptions, the Lamb shift alone yields the even tighter ranges t∗<10-27 s, ∗<10-19 m, and E∗>450 GeV. To date, these are the first robust constraints on the scales at which the multifractal features of the geometry can become important in a physical process. © 2016 American Physical Society
Description5 pags.; 1 tab. ; Erratum Phys. Rev. D 94, 049906 (2016); corrected 19 August 2016
Publisher version (URL)https://doi.org/10.1103/PhysRevD.93.025005
URIhttp://hdl.handle.net/10261/151925
DOI10.1103/PhysRevD.93.025005
Identifiersdoi: 10.1103/PhysRevD.93.025005
issn: 1550-2368
Appears in Collections:(CFMAC-IEM) Artículos
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