[Paper Review] Cosmic rays from AGN, the knee energy mass scale and dark matter particles

Yukio Tomozawa|arXiv (Cornell University)|Feb 5, 2010

Dark Matter and Cosmic Phenomena8 references3 citations

TL;DR

This paper proposes that the 3 PeV 'knee' in the cosmic ray spectrum signals a new mass scale linked to dark matter, predicting a 8.1 TeV dark matter particle mass via GLMR supersymmetry. It links AGN-driven cosmic ray emission to the knee energy via radiation/matter-dominated expansion transitions, and finds strong support from a 7.6 ± 0.1 TeV gamma-ray peak in HESS data.

ABSTRACT

Following the possibility of a new mass scale at the 3 PeV knee energy of the cosmic ray energy spectrum, the author suggests that the mass for the dark matter particle should be 8.1 TeV, using GLMR supersymmetry theory . The author discusses the possibility of detecting such a signature in various observational facilities, gamma ray, neutrino and other underground detectors. An analysis of recent data from HESS yields a gamma ray peak at 7.6 +/- 0.1 TeV, providing observational evidence for a dark matter particle mass consistent with the theoretical prediction. The author also suggests that the observed discontinuity in the power law index in galaxy correlation functions is the knee energy counterpart in cosmology.

Motivation & Objective

• To explain the origin of the 3 PeV knee in the cosmic ray energy spectrum using quantum gravity effects in AGN.
• To identify a new mass scale at the knee energy and link it to dark matter particle mass via GLMR supersymmetry.
• To test the prediction that all neutral particles (gamma rays, neutrinos, dark matter) exhibit a knee energy at 3 PeV.
• To reconcile the observed cosmic ray spectrum with a unified model of AGN explosion and particle emission.
• To provide a theoretical framework that explains the Pierre Auger Observatory's correlation between ultra-high-energy cosmic rays and AGN.

Proposed method

• Uses quantum gravity effects to model black hole collapse as an explosive bounce, producing high-energy particles.
• Applies a modified particle emission spectrum formula: f_X(E) = A_{X,α} / E^{α+1}, derived from thermal emission from an expanding heat bath.
• Introduces expansion rate t = bR^α with R = d/(kT), leading to α = 2 (radiation-dominated) and α = 1.5 (matter-dominated), yielding E^{-3} and E^{-2.5} spectra.
• Derives the knee energy as a transition between radiation- and matter-dominated expansion regimes.
• Applies GLMR supersymmetry theory to derive a dark matter particle mass of 8.1 TeV from the 3 PeV knee energy scale.
• Analyzes galaxy correlation functions to identify a discontinuity at 3 Mpc, interpreted as a cosmological counterpart to the knee energy.

Experimental results

Research questions

• RQ1 What causes the 3 PeV knee in the cosmic ray energy spectrum, and does it signal a new fundamental mass scale?
• RQ2 Can the knee energy be explained by a transition between radiation- and matter-dominated expansion in AGN?
• RQ3 What is the predicted mass of a dark matter particle if it is associated with the knee energy scale?
• RQ4 Do gamma rays, neutrinos, and dark matter particles all exhibit a spectral break at 3 PeV, as predicted by the model?
• RQ5 Is there observational evidence in galaxy correlation functions for a cosmological counterpart to the knee energy phenomenon?

Key findings

• The model predicts a dark matter particle mass of 8.1 TeV based on the 3 PeV knee energy scale using GLMR supersymmetry theory.
• Recent HESS data shows a gamma-ray peak at 7.6 ± 0.1 TeV, consistent with the theoretical prediction of 8.1 TeV.
• The knee energy in the cosmic ray spectrum arises from a transition between radiation-dominated (α=2) and matter-dominated (α=1.5) expansion regimes.
• The model explains the observed E^{-3} spectrum above the knee and E^{-2.5} below it through the same emission mechanism.
• A discontinuity in the galaxy correlation function at 3 Mpc in the ESO Slice Project survey is interpreted as the cosmological counterpart to the knee energy.
• The model unifies cosmic ray, gamma-ray, and neutrino emission from AGN, all showing a knee energy at 3 PeV, and links them to dark matter production.