Quantum Gravity and String Theory

   

The Dynamics of the Gravity Field

Authors: Malik Matwi

We derive the canonical momentum of the gravity field. Then we use it to derive the path integral of the gravity field. The canonical momentum is represented in Lorentz group. We derive it from the holonomy U(A) of the connection A of the Lorentz group. We derive the path integral of the gravity field as known in the quantum fields theory and discuss the situation of the free gravity field(like the electromagnetic field). We find that situation is only in the background spacetime, the weak gravity situation. We search for a theory in which the gravity field is a dynamical at any energy in arbitrary curved spacetime. For that, we suggest the duality gravity-area. That duality lets to the possibility to study the both fields in arbitrary curved spacetime. We find that the area field exists in the space-like and the gravity field exists in the time-like. We find that the tensor product of the gravity and area fields, in selfdual representation, satisfies the reality condition. We derive the static potential of exchanging gravitons in scalar and spinor fields, the Newtonian gravitational potential.

Comments: 32 Pages.

Download: PDF

Submission history

[v1] 2017-08-26 11:05:58

Unique-IP document downloads: 23 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.

comments powered by Disqus