Dual Phase Cosmic Rays

Details Dual Phase Cosmic Rays Dual Phase Cosmic Rays

2007-12-30

arxiv.org/abs/0801.0071v1

Astronomy and Astrophysics

Astrophysics

19 pages, 2 figures, 11 problems, LaTeX

Scientific paper

A calculation based on flat spacetime symmetries shows how there can be two quantum phases. For one, extreme phase change determines a conventional classical trajectory and four-momentum, i.e. mass times four-velocity. The other phase occurs in an effective particle state, with the effective energy and momentum being the rate of change of the phase with respect to time and distance. A cosmic ray proton moves along a classical trajectory, but exists in an effective particle state with an effective energy that depends on the local gravitational potential. Assumptions are made so that a cosmic ray proton in an ultra-high energy state detected near the Earth was in a much less energetic state in interstellar space. A 300 EeV proton incident on the Earth was a 2 PeV proton in interstellar space. The model predicts such protons are in states with even more energy near the Sun than when near the Earth.

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