We know and have actually measured in the lab with self-interference neutron experiments the 4π-symmetry (720° rotation Dirac Belt characteristic) of all spin-1/2 particles (except the neutrinos) thus the charged fermions.
Also we know that all normal Bosons like photons are spin-1 particles and therefore have a normal 2π-symmetry (360° rotation characteristic).
But what about the theorized spin-2 graviton particle?
By deduction the spin-2 corresponds to a π-symmetry (180° rotation characteristic) for the graviton.
But this would require in order to be observed in the lab frame due to relativistic Thomas precession a Lorentz factor:
$$ \gamma=\frac{1}{2}<1 $$
Therefore, a $γ$ value less than $1$ which is not allowed by Special Relativity since this would result to a $x2$ "time contraction" instead of time dilation thus superluminal behavior!
The above makes relativistic impossible of such a spin-2 particle to ever exist and in general the spin-2 theorized characteristic.
What I am doing wrong here? I'm confused.
