Theory of Quantum Gravity of photon confirms experimental results of a   varying fine structure constant while Quantum Mechanics leads to String   theory
  Quantum Mechanics of photons leads to a theory of Quantum Gravity that nicely matches the experimental results of varying fine structure constant,obtained from many-multiplet Quaser absorption systems and atomic clocks.The variation of that constant is due to quantum gravity of photons,created by their non-zero invariant mass.The photon mass is obtained from a Klein-Gordon scalar tachyon.This led to a Lorentz symmetry-breaking and varying speed of light theory in complex spacetime manifold.In essence,Quantum Mechanics includes quantum gravitational potential in the guise of quantum potential.The greatest surprise lies in showing that Quantum Mechanics naturally leads to open bosonic string whose troublesome tachyonic vibration is taken in its stride.Quantum Mechanics also proves Sen`s second conjecture and space-tearing.Length melts into dimensionless number at the Planck scale.Quantum-mechanical analog of the mass-energy equation has been derived and a dispersion relation demonstrates Lorentz non-invariance in Quantum Mechanics. 
Pradip Kumar Chatterjee