## Modified General Relativity and the Klein-Gordon Equation in Curved Spacetime

**Authors:** Gary Nash

From the existence of a line element field $(A^{\beta},-A^{\beta}) $ on a four-dimensional time oriented Lorentzian manifold with metric, the Klein-Gordon equation in curved spacetime, $ \nabla_{\mu}\nabla^{\mu}\Psi=k^{2}\Psi $, can be constructed from one of the pair of regular vectors in the line element field, its covariant derivative and associated spinor-tensor; and scalar product for spins 1,1/2 and 0, respectively. The left side of the asymmetric wave equation can then be symmetrized. The symmetric part, $ \tilde{\varPsi}_{\alpha\beta}$, is the Lie derivative of the metric, which links the Klein-Gordon equation to modified general relativity for spins 1,1/2 and 0. Modified general relativity is intrinsically hidden in the Klein-Gordon equation for spins 2 and 3/2. Massless gravitons do not exist as force mediators of gravity in a four-dimensional time oriented Lorentzian spacetime. The diffeomorphism group Diff(M) is not restricted to the Lorentz group. $ \tilde{\varPsi}_{\alpha\beta}$ can instantaneously transmit information to, and quantum properties from, its antisymmetric partner $ K_{\alpha\beta} $ along $ A^{\beta} $. This establishes the concept of entanglement.

**Comments:** 10 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-04-28 12:53:54

**Unique-IP document downloads:** 19 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.*

*
*