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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20144621 |
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Table of Contents:
- <p>“This work investigates the observational asymmetry between the superluminal (α > 0) and subluminal (α < 0) branches of quadratic (n = 2) Planck-scale Lorentz invariance violation (LIV) in ultra-high-energy cosmic ray (UHECR) spectral analyses.<br>We show analytically that the GZK threshold shift for the subluminal branch lies many orders of magnitude below the energy resolution of existing and foreseeable detectors, rendering the α < 0 branch effectively inaccessible through UHECR spectral measurements. In contrast, the superluminal branch generates a detectable vacuum Cherenkov spectral edge within the Pierre Auger energy window.<br>The work derives a closed-form Fisher-information estimator for the Cherenkov channel, validates the scaling behaviour numerically and through Monte Carlo simulations, and introduces the concept of sensitivity asymmetry between the two LIV branches.<br>A revised reporting convention is proposed for n = 2 LIV constraints, arguing that currently published ‘two-sided’ bounds are operationally one-sided constraints on the superluminal branch only.<br>Keywords: Lorentz invariance violation, UHECR, vacuum Cherenkov radiation, Fisher information, Pierre Auger Observatory, sensitivity asymmetry, quantum gravity phenomenology.”</p>