Mathematical Physics


Diamond Operator as a Spinless Square Root of d' Alembertian

Authors: Hideki Mutoh

Dirac equation includes the 4 x 4 complex differential operator matrix, which is one of square roots of d' Alembertian with spin. We found another 4 x 4 complex differential matrix as a spinless square root of d' Alembertian, which we call diamond operator. The extended Maxwell's equations including charge creation-annihilation field and the linear gravitational field equations including energy creation-annihilation field can be simply written by using the diamond operator. It is shown that the linear gravitational field equations derive Klein-Gordon equation, time independent Schrödinger equation, and the principle of quantum mechanics.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2017-08-03 09:30:29
[v2] 2017-08-04 07:06:47
[v3] 2017-09-17 22:28:49

Unique-IP document downloads: 35 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus