Abstract

It has not yet been elucidated whether the observed flux suppression for ultra- high energy cosmic rays (UHECR) at energies above � 4x1 0 19 eV is a signature of the Greisen-Zatsepin-Kuzmin (GZK) cutoff or a consequence of other phenomena. In both cases, violations of the standard fundamental principles of Physics can be present and play a significant role. They can in particular modify cosmic-ray interactions, prop- agation or acceleration at very high energy. Thus, in a long-term program, UHECR data can hopefully be used to test relativity, quantum mechanics, energy and momentum con- servation, properties... as well as the elementariness of standard particles. Data on cosmic rays at energies � 10 20 eV may also be sensitive to new physics generated well beyond Planck scale. A typical example is provided by the search for possible sig- natures of a Lorentz symmetry violation (LSV) associated to a privileged local reference frame (the vacuum rest frame, VRF). If a VRF exists, the internal structure of standard particles at ultra-high energy can undergo substantial modifications. Similarly, the con- ventional particle symmetries may cease to be valid at such energies instead of heading to a grand unification and the structure of may no longer be governed by standard quantum field theory. Then, the question whether the notion of Planck scale still makes sense clearly becomes relevant and the very grounds of Cosmology can undergo essential modifications. UHECR studies naturally interact with the interpretation of WMAP and Planck observations. Recent Planck data analyses tend to confirm the possible existence of a privileged space direction. If the observed phenomenon turns out to be a signature of the spinorial space-time (SST) we suggested in 1996-97, then conventional Particle Physics may correspond to the local properties of standard matter at low enough energy and large enough distances. This would clearly strengthen the cosmological relevance of UHECR phenomenology and weaken the status of the Planck scale hypothesis. Another crucial observation is that, already before incorporating standard matter and relativity, the SST geometry naturally yields a Ht = 1 law where t is the age of the Universe and H the ratio between relative speeds and distances at cosmic scale. As standard cosmology is not required to get such a fundamental result, the need for a conventional Planck scale is far from obvious and the study of UHECR can potentially yield evidence for an alter- native approach including new physics and new ultimate constituents of matter. UHECR may in particular allow to explore the possible indications of the existence of a transition scale at very high energy where the standard laws would start becoming less and less dominant and new physics would replace the conventional fundamental principles. We discuss prospects of searches for potential signatures of such a phenomenon.

Highlights

  • Recent measurements and analyses [1, 2] have not yet allowed to elucidate whether the observed ultrahigh energy cosmic rays (UHECR) flux suppression above 4 x 1019 eV [3, 4] is really a signature of the Greisen-ZatsepinKuzmin (GZK) cutoff [5, 6] or corresponds to a flux-suppressing mechanism of a different dynamical or astrophysical origin

  • It has not yet been elucidated whether the observed flux suppression for ultrahigh energy cosmic rays (UHECR) at energies above 4 x 1019 eV is a signature of the Greisen-Zatsepin-Kuzmin (GZK) cutoff or a consequence of other phenomena

  • If the observed phenomenon turns out to be a signature of the spinorial space-time (SST) we suggested in 1996-97, conventional Particle Physics may correspond to the local properties of standard matter at low enough energy and large enough distances

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Summary

Introduction

Recent measurements and analyses [1, 2] have not yet allowed to elucidate whether the observed UHECR flux suppression above 4 x 1019 eV [3, 4] is really a signature of the Greisen-ZatsepinKuzmin (GZK) cutoff [5, 6] or corresponds to a flux-suppressing mechanism of a different dynamical or astrophysical origin. Cosmological studies are expected to cast light on the same basic questions, in particular through WMAP [33] and Planck [34] data [35, 36] including the possible signature of a privileged space direction as the Planck analysis of maps of the cosmic microwave background (CMB) anisotropy [37] seems to suggest The existence of such a privileged space direction for each comoving observer is a natural prediction of the spinorial space-time (SST) geometry we suggested in 1996-97 [8, 38]. The question of the relevance of the Planck scale is explicitly dealt with

An illustrative example
A simple model and some estimates
Theoretical and phenomenological considerations
UHECR internal structure
Conclusion
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