**Acknowledgements**

We are most appreciative of the help by Ms. Trin Riojas of the Optical Sciences Center in coordinating computer station inputs/outputs between authors and publishers. The past informal discussions with Dr. Arvind S. Marathay of the Optical Sciences Center are also greatly appreciated. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

**Author details**

Richard P. Bocker<sup>1</sup>

**37**

\*

† These authors contributed equally.

provided the original work is properly cited.

† and B. Roy Frieden2†

*Eight-by-Eight Spacetime Matrix Operator and Its Applications*

*DOI: http://dx.doi.org/10.5772/intechopen.86982*

\*Address all correspondence to: rp44bocker@gmail.com

2 University of Arizona, Tucson, Arizona, United States of America

1 San Diego State University, San Diego, California, United States of America

© 2019 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium,

*Eight-by-Eight Spacetime Matrix Operator and Its Applications DOI: http://dx.doi.org/10.5772/intechopen.86982*
