## Diamond Operator as a Square Root of D'alembertian for Bosons

**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 of half integer. We found another 4 x 4 complex differential matrix as a square root of d'Alembertian for bosons, which we call diamond operator. The extended Maxwell's equations with charge creation-annihilation field and the linear gravitational field equations with energy creation-annihilation field can be simply written by using the diamond operator. It is shown that the linear gravitational field equations derive Newton's second law of motion, 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

[v4] 2018-05-26 01:00:37

**Unique-IP document downloads:** 45 times

Vixra.org 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.
Vixra.org 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.*

*
*