Related papers: Modified Dirac equation

This paper has been withdrawn by the author, since one of the key results duplicates existing work, as pointed out by a reader. I am currently revising the manuscript.

This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.

%auto-ignore This paper has been withdrawn by the author, due to a crucial error.

This paper has been withdrawn by the authors due to inadequate arguments.

This paper has been withdrawn by the author due to a crucial error in several equations.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn by the author due to a crucial error in equation (51).

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors, because of a crucial gap in the proof of the main theorem.

This paper has been withdrawn by the author due to a mistake in the section 4.

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

This paper has been withdrawn by the author due to a errors in figure 3,4

This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn by the author.

We withdraw our paper for one doubt on one of equations .Due to this reason we will check again our calculation and replace the revised version of this paper.