Quantized Structure of a Graviton

[Antonio Lao]

The quantum of gravity is called graviton. And using symbols for quanta of length, $\psi_E$ and $\psi_B$ and quanta of linear momentum, $\phi_E$ and $\phi_B$, the time independent structure of graviton, $G^{-}$ is given by

$$G^{-} = \psi_E \times \phi_E \cdot \psi_B \times \phi_B$$

 

[Antonio Lao]

The time independent structure of antigraviton is given by

$$G^{+} = - \psi_E \times \phi_E \cdot \psi_B \times \phi_B$$

the interactions between graviton and antigraviton follow the rules:

$$G^{+}G^{-} = \alpha G^{-}$$

$$G^{-}G^{-} = \beta G^{+}$$

$$G^{+}G^{+} = \gamma G^{+}$$

 

[Janitor]

I note that your G has the unusual units of $$M^2 L^4 /T^2$$ if what you are calling a quantum of length has the anticipated unit of $$L$$ and if what you are calling a quantum of momentum has the anticipated unit of $$ML/T$$.

 

[Antonio Lao]

I note that your G has the unusual units of ...

You are correct. The unit is proportional to the square of Planck's constant of action. This is a unit of double actions.

For the case of a time dependent structure, that is to say the time derivative of the linear momentum is not zero giving the existence of a force, the quanta are squares of energy.