Will electron create gamma-radiation?

[Zagraienko]

If we put cathode rod with enormouse voltage in vacuum between strong magnetic fields pointing down parallel to rod
end then put electron in it with initial speed equal to speed of light and begin circling around cathode, Will electron make gamma -rays according to synchrotron radiation?

 

[Einj]

Every accelerated charge emits photon and hence this is true for an electron in circular motion (even if with constant angular velocity). However, note that to accelerate an electron, which is a massive particle, up to the speed of light would require an infinite force. In fact the energy of the particle is given by:
$$
E=\frac{m_0c^2}{\sqrt{1-\frac{v^2}{c^2}}}
$$
and so if you want $v=c$ to must provide infinite energy.