# Dual Phase Cosmic Rays

@article{Shurtleff2008DualPC, title={Dual Phase Cosmic Rays}, author={R. Shurtleff}, journal={arXiv: Astrophysics}, year={2008} }

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

#### 2 Citations

Ultra-High Energy Cosmic Rays from Galactic Supernovae

- Physics
- 2009

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 of… Expand

Gravity, Cosmic Rays and the LHC

- Physics
- 2008

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 model… Expand

#### References

SHOWING 1-10 OF 27 REFERENCES

Poincare Connections in Flat Spacetime

- Physics
- 2005

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 a… Expand

Forcing Free Fields

- Physics
- 2008

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 changes… Expand

Quantum Theory of Fields

- Physics
- Nature
- 1949

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 was… Expand

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

- ARA&A
- 1996