Corpus ID: 12715546

Dual Phase Cosmic Rays

  title={Dual Phase Cosmic Rays},
  author={R. Shurtleff},
  journal={arXiv: Astrophysics},
  • R. Shurtleff
  • Published 30 December 2007
  • Physics
  • arXiv: Astrophysics
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… Expand

Figures from this paper

Ultra-High Energy Cosmic Rays from Galactic Supernovae
A simple phenomenological formula is developed relating one ion energy, the collision energy of an ion and a nucleus at rest in the Earth’s atmosphere, to another ion energy, the trajectory energy ofExpand
Gravity, Cosmic Rays and the LHC
The high energy proton beams expected when the Large Hadron Collider (LHC) comes online should provide a pass/fail test for a gravity-related explanation of ultrahigh energy cosmic rays. The modelExpand


Poincare Connections in Flat Spacetime
In flat spacetime, as a simple 4-vector, a particle's 4-velocity cannot be changed by translation. Parallel translation then produces constant velocity, motion without force. Here we consider aExpand
Forcing Free Fields
The momentum of a free massive particle, invariant under translation, thereby realizes a trivial representation of the translation group. By allowing nontrivial reps of translations, momentum changesExpand
Quantum Theory of Fields
To say that this is the best book on the quantum theory of fields is no praise, since to my knowledge it is the only book on this subject. But it is a very good and most useful book. The original wasExpand
on-line article
  • arXiv:hep-th/0702023
  • 2007
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 1993
on-line article, arXiv:hep-th/0702023
  • on-line article, arXiv:hep-th/0702023
  • 2007
on-line article
  • astro-ph/0603512
  • 2006
on-line article, arXiv:gr-qc/0502021
  • on-line article, arXiv:gr-qc/0502021
  • 2005
  • ARA&A
  • 1996