This has been making the pop-sci rounds of late. It is best to wait and see 
what happens here, for there is a long history of various alternate 
theories that have been popular that are now on the trash heap. The near 
coincidence of gravitational waves and EM radiation from neutron star 
collisions puts a very small bound on any possible graviton mass. The 
correspondence

(∂^2 - m^2)φ → G(k, k') =  ∫dk∫dω(k)/((k - k')^2 - m^2)

means the m^2 term is a dispersion, and if the graviton had mass this would 
act to slow the propagation of the graviton. Linearized gravitational waves 
in the weak limit do obey a very linearized wave equation similar to that 
of photons.

I have not read the paper yet, but massive gravitons are not entirely 
impossible. However, they are likely a manifestation of heterotic or SO(32) 
supergravity with two graviton states. The massive graviton is then an 
additional quantum gravitational state. The questions though is whether 
this is stable. It is not entirely clear how to adjust the mass, say a mass 
due to a Higgsian-like process, that is not close to the Planck mass and 
unstable. 

LC

On Wednesday, January 29, 2020 at 11:20:36 PM UTC-6, Philip Thrift wrote:
>
> https://futurism.com/massive-gravity-theory-universes-biggest-paradox
>
>
> @philipthrift
>
>

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