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Recently Adelberger et al [Phys Rev Lett 98: 010402, (2007)] have placed alimit to photon mass by investigating the primordial magnetic fields. EarlierBertolami et al [Phys Lett \textbf{B} 455, 96(1999)] showed that massivephotons in a spontaneous Lorentz breaking may generate primordial magneticfields consistent with galactic dynamo seeds. Torsion coupling constant oforder $10^{-5}$, much higher than the previously obtained by de Sabbata andSivaram of $10^{-24}$, leads to strong amplification of magnetic field able toseed galactic dynamo at recombination era contrary to what happens in generalrelativistic dynamos. This results in $B\sim{10^{-5}{\beta}G}$ where ${\beta}$is the massive photon-torsion coupling. Thus in order to obtain the observedgalaxy field of $B_{G}\sim{{\mu}G}$ one should have a coupling$\beta\sim{10^{-1}}$, never observed in the universe. Thus we may conclude thatthe weaker couplings for torsion to e.m fields shall only produce magneticfields without dynamos starting from extremely strong magnetic seeds. From thestrongest photon-torsion considered one obtains the best CMB estimate fortorsion generated magnetic fields $\frac{{\delta}B}{B}\le{10^{-4}}$. By makinguse of the strong photon-torsion limits obtained here, photon mass limit of$m_{\gamma}\sim{10^{-24}eV}$, well-within limits found in literature, whichallows us to conclude that a stronger massive photon-torsion limit isphysically consistent. Actually this last limit is also graviton mass limit.This results differs from Adelberger et al by two orders of magnitude.

Photon mass new limits from strong photon-torsion coupling generation of primordial magnetic fields